CA2978535C

CA2978535C - Transmitter and parity permutation method thereof

Info

Publication number: CA2978535C
Application number: CA2978535A
Authority: CA
Inventors: Se-Ho Myung; Kyung-Joong Kim; Hong-Sil Jeong
Original assignee: Samsung Electronics Co Ltd
Current assignee: Samsung Electronics Co Ltd
Priority date: 2015-03-02
Filing date: 2016-03-02
Publication date: 2023-10-17
Anticipated expiration: 2036-03-02
Also published as: CN107567692B; CA2978535A1; KR20160106476A; KR102426780B1; MX2017011153A; CN107567692A

Abstract

A transmitter is provided. The transmitter includes: a Low Density Parity Check (LDPC) encoder configured to encode input bits to generate parity bits; a parity permutator configured to group-wise interleave a plurality of bit groups including the parity bits; and a puncturer configured to select some of the parity bits in the group-wise interleaved bit groups and puncture the selected parity bits, wherein the parity permutator group-wise interleaves the bit groups such that some of the bit groups at predetermined positions in the bit groups before the group-wise interleaving are positioned serially after the group-wise interleaving and a remainder of the bit groups before the group-wise interleaving are positioned without an order after the group-wise interleaving so that the puncturer selects parity bits included in the some of the bit groups sequentially and selects parity bits included in the remainder of the bit groups without an order.

Description

Description Title of Invention: TRANSMITTER AND PARITY PER-MUTATION METHOD THEREOF
Technical Field [1] Apparatuses and methods consistent with the exemplary embodiments of the inventive concept relate to a transmitter and a parity permutation method thereof, and more particularly, to a transmitter performing parity permutation on parity bits and a parity permutation method thereof.
Background Art

[2] Broadcast communication services in information oriented society of the 21st century are entering an era of digitalization, multi-channelization, bandwidth broadening, and high quality. In particular, as a high definition digital television (TV) and portable broadcasting signal reception devices are widespread, digital broadcasting services have an increased demand for a support of various receiving schemes.

[3] According to such demand, standard groups set up broadcasting communication standards to provide various signal transmission and reception services satisfying the needs of a user. Still, however, a method for providing better services to a user with more improved performance is required.
Disclosure of Invention Technical Problem

[4] The exemplary embodiments of the inventive concept may overcome disadvantages of the related art signal transmitter and receiver and methods thereof.
However, these embodiments are not required to or may not overcome such disadvantages.

[5] The exemplary embodiments provide a transmitter performing parity permutation on parity bits by a specific scheme to puncture specific parity bits and a parity per-mutation method thereof.
Solution to Problem

[6] According to an aspect of an exemplary embodiment, there is provided a transmitter which may include: a Low Density Parity Check (LDPC) encoder configured to encode input bits to generate parity bits; a parity perrnutator configured to perform parity permutation by group-wise interleaving a plurality of bit groups including the parity bits; and a puncturer configured to select some of the parity bits in the group-wise interleaved bit groups, and puncture the selected parity bits, wherein the parity permutator group-wise interleaves the bit groups such that some of the bit groups at predetermined positions in the bit groups before the group-wise interleaving are po-sitioned serially after the group-wise interleaving and a remainder of the bit groups before the group-wise interleaving are positioned without an order after the group-wise interleaving so that, in the selecting some of the parity bits for the puncturing, the puncturer selects parity bits included in the some of the bit groups sequentially and selects parity bits included in the remainder of the bit groups without an order.

[7] The LDPC encoder may encode 3240 input bits at a code rate of 3/15 to generate 12960 parity bits and generate an LDPC codeword formed of the input bits and the parity bits.
[81 The LDPC codeword except the punctured parity bits may be mapped to con-stellation symbols by QPSK to be transmitted to a receiver.
[9] According to an aspect of another exemplary embodiment, there is a method of parity permutation which may include: encoding input bits to generate parity bits;
performing parity permutation by group-wise interleaving a plurality of bit groups including the parity bits; and selecting some of the parity bits in the group-wise interleaved bit groups, and puncturing the selected parity bits, wherein the group-wise interleaving is performed such that some of the bit groups at predetermined positions in the bit groups before the group-wise interleaving are positioned serially after the group-wise in-terleaving and a remainder of the bit groups before the group-wise interleaving are po-sitioned without an order after the group-wise interleaving so that, in the selecting some of the parity bits for the puncturing, parity bits included in the some of the bit groups are selected sequentially and parity bits included in the remainder of the bit groups are selected without an order.
[10] In the performing the parity permutation, the parity bits may be divided into the bit groups and the group-wise interleaving may be performed based on Equation 11 and Table 4 to change an order of the bit groups.
[11] In the generating the parity bits, 3240 input bits may be encoded at a code rate of 3/15 to generate 12960 parity bits and the LDPC codeword formed of the input bits and the parity bits may be generated.
[12] The LDPC codeword except the punctured parity bits may be mapped to con-stellation symbols by QPSK to be transmitted to a receiver.
[13]
Advantageous Effects of Invention [14] As described above, according to exemplary embodiments, specific bits among the parity bits may be punctured to improve decoding performance of the receiver.
Brief Description of Drawings [15] The above and/or other aspects of the exemplary embodiments will be described herein with reference to the accompanying drawings, in which:
[16] FIG. 1 is a block diagram for describing a configuration of a transmitter, according to an exemplary embodiment;
[17] FIGs. 2 and 3 are diagrams for describing parity check matrices, according to exemplary embodiments;
[18] FIG. 4 is a diagram illustrating a Low Density Parity Check (LDPC) codeword divided into a plurality of bit groups, according to an exemplary embodiment;
[19] FIG. 5 is a diagram illustrating a parity check matrix having a quasi cyclic structure, according to an exemplary embodiment;
[20] FIG. 6 is a diagram for describing a frame structure, according to an exemplary em-bodiment;
[21] FIGs. 7 and 8 are block diagrams for describing detailed configurations of a transmitter, according to exemplary embodiments;
[22] FIGs. 9 to 22 are diagrams for describing methods for processing signaling according to exemplary embodiments;
[23] FIGs. 23 and 24 are block diagrams for describing configurations of a receiver, according to exemplary embodiments;
[24] FIGs. 25 and 26 are diagrams for describing examples of combining Log Likelihood Ratio (LLR) values of a receiver, according to exemplary embodiments;
[25] FIG. 27 is a diagram illustrating an example of providing infoimation on a length of Li signaling, according to an exemplary embodiment; and [26] FIG. 28 is a flow chart for describing a parity permutation method, according to an exemplary embodiment.
Best Mode for Carrying out the Invention [27]
Mode for the Invention [28] Hereinafter, exemplary embodiments will be described in more detail with reference to the accompanying drawings.
[29] FIG. 1 is a block diagram for describing a configuration of a transmitter according to an exemplary embodiment.
[30] Referring to FIG. 1, a transmitter 100 includes a Low Density Parity Check (LDPC) encoder 110, a parity permutator 120 and a puncturer 130.
[31] The LDPC encoder 110 may encode input bits. In other words, the LDPC
encoder 110 may perform LDPC encoding on the input bits to generate parity bits, that is, LDPC parity bits.
[32] The input bits are LDPC information bits for the LDPC encoding, and may include outer-encoded bits and zero bits (that is, bits having a 0 value), in which the outer-encoded bits include information bits and parity bits (or parity check bits) generated by outer-encoding the information bits.

[331 The information bits may be signaling (alternatively referred to as signaling bits or signaling information). The information bits may include information required for a receiver 200 (as illustrated in FIG. 23 or 24) to receive and process data or service data (for example, broadcasting data) transmitted from the transmitter 100.
[34] The outer encoding is a coding operation which is performed before inner encoding in a concatenated coding operation, and may use various encoding schemes such as Bose, Chaudhuri, Hocquenghem (BCH) encoding and/or cyclic redundancy check (CRC) encoding. In this case, an inner code for inner encoding may be an LDPC
code.
[35] For LDPC encoding, a specific number of LDPC information bits depending on a code rate and a code length are required. Therefore, when the number of outer-encoded bits generated by outer-encoding the information bits is less than the required number of LDPC information bits, an appropriate number of zero bits are padded to obtain the required number of LDPC information bits for the LDPC encoding. Therefore, the outer-encoded bits and the padded zero bits may configure the LDPC information bits as many as the number of bits required for the LDPC encoding.
[36] Since the padded zero bits are bits required to obtain the predetermined number of bits for the LDPC encoding, the padded zero bits are LDPC-encoded, and then, are not transmitted to the receiver 200. As such, a procedure of padding zero bits, or a procedure of padding the zero bits and then, not transmitting the padded zero bits to the receiver 200 may be referred to as shortening. In this case, the padded zero bits may be referred to as shortening bits (or shortened bits).
[37] For example, it is assumed that the number of information bits is Ksig and the number of bits when Mouõ, parity bits are added to the information bits by the outer encoding, that is, the number of outer-encoded bits including the information bits and the parity bits is Nouter Ksig Mouter)=
[38] In this case, when the number 1=10,,,,e, of outer-encoded bits is less than the number Kldpc of LDPC information bits, KidpcNow, zero bits are padded so that the outer-encoded bits and the padded zero bits may configure the LDPC information bits together.
[39] The foregoing example describes that zero bits are padded, which is only one example.
[40] When the information bits are signaling for data or service data, a length of the in-formation bits may vary depending on the amount of the data. Therefore, when the number of information bits is greater than the number of LDPC information bits required for the LDPC encoding, the information bits may be segmented below a specific value.
[41] Therefore, when the number of information bits or the number of segmented in-formation bits is less than a number obtained by subtracting the number of parity bits (that is, Mouter) generated by the outer encoding from the number of LDPC
information bits, zero bits are padded as many as the number obtained by subtracting the number of outer-encoded bits from the number of LDPC information bits so that the LDPC
in-formation bits may be formed of the outer-encoded bits and the padded zero bits.
[42] However, when the number of information bits or the number of segmented in-formation bits are equal to the number obtained by subtracting the number of parity bits generated by outer encoding from the number of LDPC information bits, the LDPC information bits may be formed of the outer-encoded bits without padded zero bits.
[43] The foregoing example describes that the information bits are outer-encoded, which is only one example. However, the information bits may not be outer-encoded and configure the LDPC information bits along with the zero bits padded depending on the number of information bits or only the information bits may configure the LDPC
in-formation bits without separately padding zero bits.
[44] For convenience of explanation, the outer encoding will be described below under an assumption that it is performed by BCH encoding.
[45] In detail, the input bits will be described under an assumption that they include BCH
encoded bits and the zero bits, the BCH encoded bits including the information bits and BCH parity-check bits (or BCH parity bits) generated by BCH-encoding the in-formation bits.
[46] That is, it is assumed that the number of the information bits is Ksig and the number of bits when Mower BCH parity-check bits by the BCH encoding are added to the in-formation bits, that is, the number of BCH encoded bits including the information bits and the BCH parity-check bits is Nouter(=Ksig+Mouter)= Here, Mouter =168.
147] The foregoing example describes that zero bits, which will be shortened, are padded, which is only one example. That is, since zero bits are bits having a value preset by the transmitter 100 and the receiver 200 and padded only to form LDPC information bits along with information bits including information to be substantially transmitted to the receiver 200, bits having another value (for example, 1) preset by the transmitter 100 and the receiver 200 instead of zero bits may be padded for shortening. As described above, the information bits may be signaling. For example, the information bits may be signaling for broadcasting data transmitted by the transmitter 100.
[48] The LDPC encoder 110 may systematically encode LDPC information bits to generate LDPC parity bits, and output an LDPC codeword (or LDPC-encoded bits) formed of the LDPC information bits and the LDPC parity bits. That is, an LDPC
code for the LDPC encoding is a systematic code, and therefore, the LDPC codeword may be formed of the LDPC information bits before being LDPC-encoded and the LDPC
parity bits generated by the LDPC encoding.
[49] For example, the LDPC encoder 110 may perform the LDPC encoding on Kldpc ) Nidurity LDPC information bits i = to generate LDPC parity bits (Po K ) and output an LDPC codeword A = (co, ci, c N
1._1) = (io, inners=--Idpc = - Idpc_parity) bits.
Po, pi, p K1) formed of N ( K -4-N
[50] In this case, the LDPC encoder 110 may perform the LDPC encoding on the input bits (i.e., LDPC information bits) at various code rates to generate an LDPC
codeword having a specific length.
[51] For example, the LDPC encoder 110 may perform LDPC encoding on 3240 input bits at a code rate of 3/15 to generate an LDPC codeword formed of 16200 bits.
As another example, the LDPC encoder 110 may perform LDPC encoding on 6480 input bits at a code rate of 6/15 to generate an LDPC codeword formed of 16200 bits.
[52] Meanwhile, a process of performing the LDPC encoding is a process of generating an LDPC codeword to satisfy H = CT=0, and thus, the LDPC encoder 110 may use a parity check matrix to perform the LDPC encoding. Here, H represents the parity check matrix and C represents the LDPC codeword.
[53] Hereinafter, a structure of the parity check matrix according to various exemplary embodiments will be described with reference to the accompanying drawings. In the parity check matrix, elements of a portion other than 1 are 0.
[54] For example, the parity check matrix according to an exemplary embodiment may have a structure as illustrated in FIG. 2.
[55] Referring to FIG. 2, a parity check matrix 20 may be formed of five sub-matrices A, B, C, Z and D. Hereinafter, for describing the structure of the parity check matrix 20, each matrix structure will be described.
[56] The sub-matrix A is formed of K columns and g rows, and the sub-matrix C is formed of K+g columns and N-K-g rows. Here, K (or Kid.) represents a length of LDPC information bits and N (or Ninn,) represents a length of an LDPC
codeword.
[57] Further, in the sub-matrices A and C, indexes of a row in which 1 is positioned in a 0-th column of an i-th column group may be defined based on Table 1 when the length of the LDPC codeword is 16200 and the code rate is 3/15. The number of columns belonging to a same column group may be 360.
[58] [Table 1]
[59] 8 372 841 4522 5253 7430 8542 9822 10550 11896 11988 [60] Hereinafter, positions (alternatively referred to as "indexes" or "index values") of a row in which 1 is positioned in the sub-matrices A and C will be described in detail with reference to, for example, Table 1.
[61] When the length of an LDPC codeword is 16200 and the code rate is 3/15, coding parameters MI, M21 Q1 and Q2 based on the parity check matrix 200 each are 1080, 11880, 3 and 33.
[62] Here, Qi represents a size at which columns belonging to a same column group in the sub-matrix A are cyclic-shifted, and Q2 represents a size at which columns belonging to a same column group in the sub-matrix C are cyclic-shifted.
[63] Further, Qi = M1/L, Q2= M2/L, M1= g, M2= N-K-g and L represents an interval at which patterns of a column are repeated in the sub-matrices A and C, respectively, that is, the number (for example, 360) of columns belonging to a same column group.
[64] The indexes of the row in which 1 is positioned in the sub-matrices A
and C, re-spectively, may be determined based on an MI value.
[65] For example, in above Table 1, since M1=1080, the position of a row in which 1 is positioned in a 0-th column of an i-th column group in the sub-matrix A may be de-termined based on values less than 1080 among index values of above Table 1, and the position of a row in which 1 is positioned in a 0-th column of an i-th column group in the sub-matrix C may be determined based on values equal to or greater than among the index values of above Table 1.
[66] In detail, a sequence corresponding to a 0-th column group in above Table 1 is "8 372 841 4522 5253 7430 8542 9822 10550 11896 11988". Therefore, in a 0-th column of a 0-th column group in the sub-matrix A, 1 may be positioned in an eighth row, a 372-th row, and an 841-th row, respectively, and in a 0-th column of a 0-th column group in the sub-matrix C, 1 may be positioned in a 4522-th row, a 5253-th row, a 7430-th row, an 8542-th row, a 9822-th row, a 10550-throw, a 11896-th row, and a 11988-row, respectively.
[67] In the sub-matrix A, when the position of 1 is defined in a 0-th columns of each column group, it may be cyclic-shifted by Qi to define a position of a row in which 1 is positioned in other columns of each column group, and in the sub-matrix C, when the position of 1 is defined in a 0-th columns of each column group, it may be cyclic-shifted by Q2 to define a position of a row in which 1 is positioned in other columns of each column group.
[68] In the foregoing example, in the 0-th column of the 0-th column group in the sub-matrix A, 1 is positioned in an eighth row, a 372-th row, and an 841-th row.
In this case, since Q1=3, indexes of a row in which 1 is positioned in a first column of the 0-th column group may be 11(=8+3), 375(=372+3), and 844(=841+3) and indexes of a row in which 1 is positioned in a second column of the 0-th column group may be

8 14(=11+3), 378(=375+3), and 847(= 844+3).
[69] In a 0-th column of a 0-th column group in the sub-matrix C, 1 is positioned in a 4522-th row, a 5253-th row, a 7430-th row, an 8542-th row, a 9822-th row, a 10550-th row, a 11896-th row, and a 11988-th row. In this case, since Q2=33, the indexes of the row in which 1 is positioned in a first column of the 0-th column group may be 4555(.4522+33), 5286(.5253+33), 7463(=7430+33), 8575(=8542+33), 9855(.9822+33) 10583(.10550+33), 11929(.11896+33), and 12021(.11988+33) and the indexes of the row in which 1 is positioned in a second column of the 0-th column group may be 4588(=4555+33), 5319(=5286+33), 7496(=7463+33), 8608(=8575+33), 9888(=9855+33), 10616(=10583+33), 11962(=11929+33), and 12054(=12021+33).
[70] According to the scheme, the positions of the row in which 1 is positioned in all the column groups in the sub-matrices A and C may be defined.
[71] The sub-matrix B is a dual diagonal matrix, the sub-matrix D is an identity matrix, and the sub-matrix Z is a zero matrix.
[72] As a result, the structure of the parity check matrix 20 as illustrated in FIG. 2 may be defined by the sub-matrices A, B, C, D and Z having the above structure.
[73] Hereinafter, a method for performing, by the LDPC encoder 110, LDPC
encoding based on the parity check matrix 20 as illustrated in FIG. 2 will be described.
[74] The LDPC code may be used to encode an information block S = (so, sl, In this case, to generate an LDPC codeword A = (A0, A1, ANA) having a length of N=K+Mo-M2, parity blocks P = (po, m=-, p KA42..1) from the information block S
may be systematically encoded.
[75] As a result, the LDPC codeword may be A=(so, sl, sx-1, po, pi, p [76] Here, M1 and M2 each represent a size of parity sub-matrices corresponding to the dual diagonal sub-matrix B and the identity matrix sub-D, respectively, in which M1=
g and M2= N-K-g.
[77] A process of calculating parity bits may be represented as follows.
Hereinafter, for convenience of explanation, a case in which the parity check matrix 20 is defined as above Table 1 will be described as one example.
[78] Step 1) It is initialized to Xi=s; (i=0, 1, ..., K-1), p,=0 (j=0, 1, ..., M1+M2-1).
[79] Step 2) A first information bit Ao is accumulated in a parity bit address defined in the first row of above Table 1.
[80] Step 3) For the next L-1 information bits X,,,(m=1, 2, ..., L-1), Am is accumulated in the parity bit address calculated based on following Equation 1.
[81] (x + mxQl) mod M1 (if x < MI) [82] M1+ f(x-Mi + mxQ2) mod M21 (if x M1) .... (1) [83] In above Expression 1, x represents an address of a parity bit accumulator cone-

9 sponding to a first information bit 4. Further, QI=MI/L and Q2=M2/L.
[84] In this case, since the length of the LDPC codeword is 16200 and the code rate is 3/15, M1=1080, M2=11880, Q]=3, Q2=33, L=360.
[85] Step 4) Since the parity bit address like the second row of above Table 1 is given to an L-th information bit XL, similar to the foregoing scheme, the parity bit address for next L-1 information bits kri, (m = L+1, L+2, 2L-1) is calculated by the scheme described in the above step 3. In this case, x represents the address of the parity bit ac-cumulator corresponding to the information bit XL and may be obtained based on the second row of above Table 1.
[86] Step 5) For L new information bits of each group, the new rows of above Table 1 are set as the address of the parity bit accumulator, and thus, the foregoing process is repeated.
[87] Step 6) After the foregoing process is repeated from the codeword bit X0 to 41, a value for following Equation 2 is sequentially calculated from i = 1.
[88]
Pi = Pi 0 PH (1=1,2, ... Mi -1) ==== (2) [89]
Step 7) The parity bits X to 2 corresponding to the dual diagonal sub-matrix B are calculated based on following Equation 3.
[90] (Os <L, 0.t< Q1) .... (3) [91] Step 8) The address of the parity bit accumulator for the L new codeword bits Xic. to X K-F-41,-1 of each group is calculated based on the new row of above Table 1 and above Equation 1.
[92] Step 9) After the codeword bits XK to jr+mri are applied, the parity bits to K+Ati+m4.1 corresponding to the sub-matrix D are calculated based on following Equation 4.
[93] XK+M 1+Lxt+,=PM 1 +Q2xs-Ft < L, Co_t< Q2) .... (4) [94] As a result, the parity bits may be calculated by the above scheme.
However, this is only one example, and therefore, the scheme for calculating the parity bits based on the parity check matrix as illustrated in FIG. 2 may be variously defined.
[95] As such, the LDPC encoder 110 may perform the LDPC encoding based on above Table 1 to generate the LDPC codeword.
[96] In detail, the LDPC encoder 110 may perform the LDPC encoding on 3240 input bits, that is, the LDPC information bits at the code rate of 3/15 based on above Table 1 to generate 12960 LDPC parity bits and output the LDPC parity bits and the LDPC
codeword formed of the LDPC parity bits. In this case, the LDPC codeword may be formed of 16200 bits.

10 [97] As another example, the parity check matrix according to an exemplary embodiment may have a structure as illustrated in FIG. 3.
[98] Referring to FIG. 3, a parity check matrix 30 is formed of an information sub-matrix 31 which is a sub-matrix corresponding to the information bits (that is, LDPC
in-formation bits) and a parity sub-matrix 32 which is a sub-matrix corresponding to the parity bits (that is, LDPC parity bits).
[99] The information sub-matrix 31 includes Kid columns and the parity sub-matrix 32 includes Nidpe_puiity=Ninner-Kidõ columns. The number of rows of the parity check matrix 30 is equal to the number N1dõe_par4=Ninner4Kidpe of columns of the parity sub-matrix 32.
[100] Further, in the parity check matrix 30, Ninner represents the length of the LDPC
codeword, 1(147 represents the length of the information bits, and Nidpc 'ty=Ninner-Kldpc represents the length of the parity bits.
[101] Hereinafter, the structures of the information sub-matrix 31 and the parity sub-matrix 32 will be described.
[102] The information sub-matrix 31 is a matrix including the Kidp, columns (that is, 0-th column to (Kidpe-1)-th column) and depends on the following rule.
[103] First, the Kid columns configuring the information sub-matrix 31 belong to the same group by M numbers and are divided into a total of Kidpc/M column groups. The columns belonging to the same column group have a relationship that they are cyclic-shifted by Qicipc from one another. That is, Qidpe may be considered as a cyclic shift parameter value for columns of the column group in the information sub-matrix con-figuring the parity check matrix 30.
[104] Here, M represents an interval (for example, M=360) at which the pattern of columns in the information sub-matrix 31 is repeated and Qidpc is a size at which each column in the information sub-matrix 31 is cyclic-shifted. M is a common divisor of Niece, and K
idpe, and is determined so that gdpe = (Nit, nõ4(Idpc WI is established. Here, M and Qidpe are integers and Kidpe/M also becomes an integer. M and 0 Idpc may have various values depending on the length of the LDPC codeword and the code rate.
[105] For example, when M=360, the length Ninner of the LDPC codeword is 16200, and the code rate is 6/15, Qidp, may be 27.
[106] Second, if a degree (herein, the degree is the number of values is positioned in the column and the degrees of all the columns belonging to the same column group are the same) of a 0-th column of an i-th (i=0, 1, ..., Kid/M-1) column group is set to be Di and positions (or index) of each row in which 1 is positioned in the 0-th column of the i-th column group is set to be (0), (1),(D,-1), an index R (k) of a row in 4.o R id which a k-th 1 is positioned in a j-th column in the i-th column group is determined based on following Equation 5.

11 [107] (k) = D (k) Qkip, mod (Ninner - Kid) ==== (5) [108] In above Equation 5, k = 0, 1,2, ..., D1-1; i = 0,1 , Kidpe/M-1; j = 1,2, ..., M-1.
[109] Meanwhile, above Equation 5 may be represented like following Equation 6.
[110] R ck.) = ( R (*-0) + (j mod M)xQmpc) mod (NJ,. - Ktdp.) =-= (6) [111] In above Equation 10, k = 0, 1, 2, ..., Di-1; i = 0,1 , Kidp/M-1; j = 1, 2, ..., M-1. In above Equation 6, since j = 1, 2, ..., M-1, (j mod M) may be considered as j.
[112] In these Equations, R ii.tc) represents the index of the row in which the k-th 1 is po-sitioned in the j-th column in the i-th column group, the Ninner represents the length of the LDPC codeword, the K1 represents represents the length of the information bits, the Di represents the degree of the columns belonging to the i-th column group, the M

represents the number of columns belonging to one column group, and the Qicip, represents the size at which each column is cyclic-shifted.
[113] As a result, referring to the above Equations, if a R (ko) value is known, the index R of the row in which the k-th 1 is positioned in the j-th column of the i-th column group may be known. Therefore, when the index value of the row in which the k-th 1 is positioned in the 0-th columns of each column group is stored, the positions of the column and the row in which the 1 is positioned in the parity check matrix 30 (that is, information sub-matrix 31 of the parity check matrix 30) having the structure of FIG. 3 may be checked.
[114] According to the foregoing rules, all the degrees of the columns belonging to the i-th column group are D. Therefore, according to the foregoing rules, the LDPC code in which the information on the parity check matrix is stored may be briefly represented as follows.
[115] For example, when the N78 is 30, the Icpc is 15, and the Qidpc is 3, positional in-formation of the row in which 1 is positioned in the 0-th columns of three column groups may be represented by sequences as following Equation 7, which may be named 'weight-1 position sequence'.
[116] R (1) ¨1, R(2) ¨2, R (3) 8, R (4)-10 1,0 1,0 1,0 1,0 [117] R g=0,R j1--- 9,R ?,,g=1 3 [118] R ?(; ¨14 ==== (7) [119] In above Equation 7, R IT represents the indexes of the row in which the k-th 1 is positioned in the j-th column of the i-th column group.
[120] The weight-1 position sequences as above Equation 7 representing the index of the row in which 1 is positioned in the 0-th columns of each column group may be more

12

13 PCT/1CR2016/002091 briefly represented as following Table 2.
[121] [Table 21 [122] 1 2 8 10 [123] Above Table 2 represents positions of elements having a value 1 in the parity check matrix and the i-th weight-1 position sequence is represented by the indexes of the row in which 1 is positioned in the 0-th column belonging to the i-th column group.
[124] The information sub-matrix 31 of the parity check matrix according to the exemplary embodiment described above may be defined based on following Table 3.
[125] Here, following Table 3 represents the indexes of the row in which 1 is positioned in a 0-th column of an i-th column group in the information sub-matrix 31. That is, the in-formation sub-matrix 31 is formed of a plurality of column groups each including M
columns and the positions of is in the 0-th columns of each of the plurality of column groups may be defined as following Table 3.
[126] For example, when the length Ni., of the LDPC codeword is 16200, the code rate is 6/15, and the M is 360, the indexes of the row in which 1 is positioned in the 0-th column of the i-th column group in the information sub-matrix 31 are as following Table 3.
[127] [Table 3]
[1281 27 430 519 828 1897 1943 2513 2600 2640 3310 3415 4266 5044 5100 5328 [129] According to another exemplary embodiment, a parity check matrix in which an order of indexes in each sequence corresponding to each column group in above Table 3 is changed is considered as a same parity check matrix for an LDPC code as the above described parity check matrix is another example of the inventive concept.
[130] According to still another exemplary embodiment, a parity check matrix in which an array order of the sequences of the column groups in above Table 3 is changed is also considered as a same parity check matrix as the above described parity check matrix in that they have a same algebraic characteristics such as cyclic characteristics and degree distributions on a graph of a code.
[131] According to yet another exemplary embodiment, a parity check matrix in which a multiple of Qmpc is added to all indexes of a sequence corresponding to column group in above Table 3 is also considered as a same parity check matrix as the above described parity check matrix in that they have same cyclic characteristics and degree distributions on the graph of the code. Here, it is to be noted that when a value obtained by adding the multiple of Q. to a given sequence is equal to or more than N
inner-Kid,, the value needs to be changed into a value obtained by performing a modulo operation on the Ninner-Kldpc and then applied.
[132] If the position of the row in which 1 is positioned in the 0-th column of the i-th column group in the infonnation sub-matrix 31 as shown in above Table 3 is defined, it may be cyclic-shifted by (21d, and thus, the position of the row in which 1 is po-sitioned in other columns of each column group may be defined.
[133] For example, as shown in above Table 3, since the sequence corresponding to the 0-th column of the 0-th column group of the information sub-matrix 31 is "27 6392 6416 6602 7019 7415 7623 8112 8485 8724 8994 9445 9667", in the 0-th column of the 0-th column group in the information sub-matrix 31, 1 is positioned in a 27-throw, a 430-th row, a 519-th-row, [134] In this case, since Qmpc= (Ninner-Kldpc)/M = (16200-6480)/360 = 27, the indexes of the row in which 1 is positioned in the first column of the 0-th column group may be 54(=27+27), 457(=430+27), 546(=519+27), 81(=54+27), 484(=457+27), 573(=546 27).....
[135] By the above scheme, the indexes of the row in which 1 is positioned in all the rows of each column group may be defined.
[136] Hereinafter, the method for performing LDPC encoding based on the parity check matrix 30 as illustrated in FIG. 3 will be described.
[137] First, information bits to be encoded are set to be io, and code bits output from the LDPC encoding are set to be c0, c1, c [138] Further, since the LDPC code is systematic, fork (01( < Kid-l), ck is set to be k.
Meanwhile, the remaining code bits are set to be p k; = k .
24=0 [139] Hereinafter, a method for calculating parity bits Pk will be described.
[140] Hereinafter, q(i, j, 0) represents a j-th entry of an i-th row in an index list as above Table 3, and q(i, j, 1) is set to be q(i, j, 1) = q(i, j, 0)+Qmpcx1 (mod Nmner¨Kldpc) for 0 < i <
360. Meanwhile, all the accumulations may be realized by additions in a Galois field

14 (GF) (2). Further, in above Table 3, since the length of the LDPC codeword is and the code rate is 6/15, the Qkiõ is 27.
[141] Meanwhile, when the q(i,j,0) and the q(i,j,l) are defined as above, a process of cal-culating the parity bit is as follows.
[142] Step 1) The parity bits are initialized to '0'. That is, pk = 0 for 0 k <
[143] Step 2) For all k values of 0 k < Kld, i and I are set to be = and 1:=k : Lk/360 j (mod 360). Here, is a maximum integer which is not greater than x.
[x]
[144] Next, for all i, ik is accumulated in poi,o. That is, N0,0,0 =
Pq(i3O,1)-F1k,1341,1,1) = Pq0,1,9+1k713 q(i,2,I) = Pcgi,2,1)+1k, ===, Pq(i,w(i) 1,1) = Pc(i,w(i) 1,1) ik are calculated.
[145] Here, w(i) represents the number of the values (elements) of an i-th row in the index list as above Table 3 and represents the number of is in a column corresponding to ik in the parity check matrix. Further, in above Table 3, c(i, j, 0) which is a j-th entry of an i-th row is an index of a parity bit and represents the position of the row in which 1 is positioned in a column corresponding to ik in the parity check matrix.
[146] In detail, in above Table 3, q(i,j,0) which is the j-th entry of the i-th row represents the position of the row in which 1 is positioned in the first (that is, 0-th) column of the i-th column group in the parity check matrix of the LDPC code.
[147] The q(i, j, 0) may also be considered as the index of the parity bit to be generated by LDPC encoding according to a method for allowing a real apparatus to implement a scheme for accumulating ik in p,o,;,0 for all i, and may also be considered as an index in another form when another encoding method is implemented. However, this is only one example, and therefore, it is apparent to obtain an equivalent result to an LDPC
encoding result which may be obtained from the parity check matrix of the LDPC
code which may basically be generated based on the q(i,j,0) values of above Table 3 whatever the encoding scheme is applied.
[148] Step 3) A parity bit Pk is calculated by calculating pk= pk+pk4 for all k satisfying 0 <
k <Ninner¨Kldpc=
[149] Accordingly, all code bits co,el, ¨ N -1 may be obtained.
[150] As a result, parity bits may be calculated by the above scheme.
However, this is only one example, and therefore, the scheme for calculating the parity bits based on the parity check matrix as illustrated in FIG. 3 may be variously defined.
[151] As such, the LDPC encoder 110 may perform LDPC encoding based on above Table 3 to generate an LDPC codeword.
[152] In detail, the LDPC encoder 110 may perform the LDPC encoding on 6480 input bits, that is, the LDPC information bits at the code rate of 6/15 based on above Table 3

15 to generate 9720 LDPC parity bits and output the LDPC parity bits and the LDPC

codeword formed of the LDPC parity bits. In this case, the LDPC codeword may be formed of 16200 bits.
[153] As described above, the LDPC encoder 110 may encode the input bits at various code rates to generate the LDPC codeword, and output the generated LDPC
codeword to the parity permutator 120.
[154] The parity permutator 120 interleaves the LDPC parity bits, and performs group-wise interleaving on a plurality of bit groups configuring the interleaved LDPC
parity bits to perform parity permutation. However, the parity permutator 120 may not interleave the LDPC parity bits but may perform the group-wise interleaving on the LDPC
parity bits to perform parity permutation.
[155] The parity permutator 120 may output the parity perrnutated LDPC
codeword to the puncturer 130.
[156] To this end, the parity permutator 120 may include a parity interleaver (not il-lustrated) for interleaving the LDPC parity bits and a group-wise interleaver (not il-lustrated) for group-wise interleaving the LDPC parity bits or the interleaved LDPC
parity bits.
[157] First, the parity interleaver may interleave the LDPC parity bits.
That is, the parity in-terleaver may interleave only the LDPC parity bits among the LDPC information bits and the LDPC parity bits configuring the LDPC codeword.
[158] In detail, the parity interleaver may interleave the LDPC parity bits based on following Equation 8.
[159] ui=ci for Oi<Kidpõ (information bits are not interleaved) [160] u c Kw 27,H for (:)s <360, (:)t< 27 .... (8) [161] In detail, based on above Equation 8, the LDPC codeword (co, cl, c ) is parity-interleaved by the parity interleaver and an output of the parity interleaver may be represented by U = u1,..., hew [162] By the parity interleaving, the LDPC codeword is configured such that a specific number of continued bits in the LDPC codeword have similar decoding characteristics (for example, cyclic distribution, degree of column, etc.). For example, the LDPC
codeword may have similar decoding characteristics by each continued M bits.
Here, M may be 360.
[163] The product of the LDPC codeword bits by the parity check matrix need to be This means that a sum of the products of the i-th LDPC codeword bits ei (i=0, 1, N
inner 1) by the i-th columns of the parity check matrix needs to be a '0' vector. Therefore, the i-th LDPC codeword bits may be considered as corresponding to the i-th column of

16 the parity check matrix.
[164] As to the parity check matrix 30 as illustrated in FIG. 3, elements included in every M columns of the information sub-matrix 31 belongs to a same group and have the same characteristics in a column group unit (for example, columns of a same column group have the same degree distributions and the same cyclic characteristics).
[165] Continued M bits in the LDPC information bits correspond to a same column group in the information sub-matrix 31, and, as a result, the LDPC information bits may be formed of the continued M bits having same codeword characteristics.
Meanwhile, if the parity bits of the LDPC codeword are interleaved based on above Equation 8, continued M bits of the interleaved parity bits may have the same codeword charac-teristics.
[166] As a result, by the parity interleaving, the LDPC codeword is configured such that a specific number of continued bits have similar decoding characteristics.
[167] However, when LDPC encoding is performed based on the parity check matrix 20 as illustrated in FIG. 2, parity interleaving is performed as a part of the LDPC
encoding.
Therefore, an LDPC codeword generated based on the parity check matrix 20 as il-lustrated in FIG. 2 is not separately parity-interleaved. That is, the parity interleaver for the parity interleaving is not used.
[168] For example, in an Li detail mode 2 in Table 6 to be described later, LDPC in-formation bits are encoded based on the parity check matrix 20 as illustrated in FIG. 2, and thus, separate parity interleaving is not performed. Here, even when the parity in-terleaving is not performed, the LDPC codeword bits may be fonned of continued M
bits having the same characteristics.
1169] In this case, an output U=(uo, u1, ¨, of the parity interleaver may be rep-resented based on following Equation 9.
[170] ui=c; for <linner = = = = (9) [171] As such, the LDPC codeword may simply pass through the parity interleaver without parity interleaving. However, this is only one example, and in some cases, the LDPC
codeword does not pass through the parity interleaver, and instead, may be directly provided to the group-wise interleaver to be described below.
[172] Meanwhile, the group-wise interleaver may perform the group-wise interleaving on the output of the parity interleaver.
[173] Here, as described above, the output of the parity interleaver may be the LDPC
codeword parity-interleaved by the parity interleaver or may be the LDPC
codeword which is not parity-interleaved by the parity interleaver.
[174] Therefore, when the parity interleaving is performed, the group-wise interleaver may perform the group-wise interleaving on the parity interleaved LDPC codeword, and

17 when the parity interleaving is not performed, the group-wise interleaver may perform the group-wise interleaving on the LDPC codeword.
[175] In detail, the group-wise interleaver may interleave the output of the parity in-terleaver in a bit group unit (or in a unit of a bit group).
[176] For this purpose, the group-wise interleaver may divide the LDPC
codeword output from the parity interleaver into a plurality of bit groups. As a result, the LDPC parity bits configuring the LDPC codeword may be divided into a plurality of bit groups.
[177] In detail, the group-wise interleaver may divide the LDPC-encoded bits (uo, ul, ) output from the parity interleaver into Nup(=Isl/360) bit groups based on Inner following Equation 10.
[178] N.:{nk I 360xj < 360x(j+1), 01(< Kn.} for < Nu.up ... (10) [179] In above Equation 10, N represents a j-th bit group.
[180] FIG. 4 illustrates an example in which the LDPC codeword output from the parity in-terleaver is divided into a plurality of bit groups, according to an exemplary em-bodiment.
[181] Referring to FIG. 4, the LDPC codeword is divided into N0õp(=N,/360) bit groups and each bit group x, for 0 j < N8mup is formed of 360 bits.
[182] As a result, the LDPC information bits formed of Kldõ bits may be divided into Kldp, 360 bit groups and the LDPC parity bits formed of Ninn,-Kidpc bits may be divided into Ninner-Kidp./360 bit groups.
[183] Further, the group-wise interleaver performs the group-wise interleaving on the LDPC codeword output from the parity interleaver.
[184] In this case, the group-wise interleaver does not perform the interleaving on the LDPC information bits, and may perform the interleaving only on the LDPC
parity bits among the LDPC information bits and the LDPC parity bits to change the order of the plurality of bit groups configuring the LDPC parity bits.
[185] In detail, the group-wise interleaver may perform the group-wise interleaving on the LDPC codeword based on following Equation 11. In detail, the group-wise interleaver may perform the group-wise interleaving on the plurality of bit groups configuring the LDPC parity bits based on following Equation 11.
[186] Yi=XJ, < Kid/360 [187] YFXõõ(J) Kid/360 < Ngroup (11) [188] In above Equation 11, Y, represents a group-wise interleaved j-th bit group, and N
represents a j-th bit group before the group-wise interleaving (that is, N
represents the j-th bit group among the plurality of bit groups configuring the LDPC
codeword, and Y, represents the group-wise-interleaved j-th bit group). Further, Ju(j) represents a per-mutation order for the group-wise interleaving.

18 [189] Further, Kid is the number of input bits, that is, the number of LDPC
information bits, and Ngroup is the number of groups configuring the LDPC codeword formed of the input bits and the LDPC parity bits.
[190] The permutation order may be defined based on a group-wise interleaving pattern as shown in following Tables 4 to 6. That is, the group-wise interleaver determines Ti(j) based on the group-wise interleaving pattern as shown in following Tables 4 to 6, and as a result an order of the plurality of bit groups configuring the LDPC
parity bits may be changed.
[191] For example, the group-wise interleaving pattern may be as shown in the following Table 4.
[192] [Table 4]
[193] Order of group-wise interleaving 7rp(j) (9 j 4E) Ngroup up(9) ap(10) a(1l) up(12) 77413) 74,(14) 77),(15) ap(16) it(17) up(18) up(19) rip(20) up(21) 77,0(22) 77),(23) 77),(24) 74,(25) 77p(26) 74,(27) up(28) 77(29) 1Tp(30) up(31) 1Tp(32) 7tp(33) 74(34) 74,(35) 77),(36) 77r(37) 77),(38) 7r,,(39) 71),(40) 77-p(41) 71),(42) u1,(43) 77)(44) . 9 31 23 10 11 25 43 29 [194] Here, above Table 4 represents a group-wise interleaving pattern for a case in which the LDPC encoder 110 performs LDPC encoding on 3240 input bits, that is, the LDPC
information bits, at a code rate of 3/15 to generate 12960 LDPC parity bits, and an LDPC codeword generated by the LDPC encoding is modulated by the quadrature phase shift keying (QPSK) and then is transmitted to the receiver 200.
[195] That is, when 3240 LDPC information bits are encoded at the code rate of 3/15, 12960 LDPC parity bits are generated, and as a result the LDPC codeword may be formed of 16200 bits.
[196] Each bit group is formed of 360 bits, and the LDPC codeword formed of 16200 bits is divided into 45 bit groups.
[197] Here, since the LDPC information bits are 3240 and the LDPC parity bits are 12960, a 0-th bit group to an 8-th bit group correspond to the LDPC information bits and a 9-th bit group to a 44-th bit group correspond to the LDPC parity bits.
[198] In this case, the parity interleaver does not perform parity interleaving, the group-wise interleaver does not perform interleaving on bit groups configuring LDPC
in-formation bits, that is, the 0-th bit group to the 8-th bit group, but may interleave bit groups configuring the LDPC parity bits, that is, a 9-th bit group to a 44-th bit group in a group unit to change an order of the 9-th bit group to the 44-th bit group based on above Equation 11 and Table 4.
[199] In detail, in above Table 4, above Equation 11 may be represented like Y0=X0, YI=X1 , Y7=X7, Y8=X8, Y9=Xn( 9)=X9 Y10=Xnp(10)=X31 Yi1=X3clxii)=X23, ===, Y26=Xnp(26)=X17,

19 Y27=X31-p(27)=X35, Y28=Xn-p(28)=X21, [200] Therefore, the group-wise interleaver does not change an order of the 0-th bit group to the 8-th bit group including the LDPC information bits but changes an order of the 9-th bit group to the 44-th bit group including the LDPC parity bits.
[201] In this case, the group-wise interleaver may change an order of 36 bit groups such that specific bit groups among 36 bit groups configuring the LDPC parity bits are po-sitioned at specific positions, and the remaining bit groups are randomly positioned at positions remaining after the specific bit groups are positioned.
[202] In detail, the group-wise interleaver positions the 9-th bit group at a 9-th position, a 31-th bit group at a 10-th position, a 23-th bit group at an 11-th position, ..., a 17-th bit group at a 26-th position, a 35-th bit group at a 27-th position, and a 21-th bit group at a 28-th position.
[203] Further, the group-wise interleaver randomly positions the remaining bit groups, that is, the bit groups, which are positioned at 12-th, 14-th,...,42-th, and 44-th positions before the group-wise interleaving, at the remaining positions. That is, the remaining bit groups are randomly positioned at positions remaining after the bit groups each po-sitioned at 9-th, 31-th, 23-th,...,17-th, 35-th, and 21-th positions before the group-wise interleaving are positioned by the group-wise interleaving. Here, the remaining positions may be 29-th to 44-th positions.
[204] As another example, the group-wise interleaving pattern may be as shown in following Table 5.
[205] [Table 5]
[206]
Order of group-wise interleaving Irpfj) (9 E.; < 45 ) n.,(9) rrp(10) rfp(11) ni,(12) 77'103) n,(14)n,(15) T1.,(16) rrp( 17) n(18)n-,,(19) rrp(ZO) Ngroup rrp(21) rtp(22) Trp(23) irp(24) 7Tp(25) Trp(2 6) 15,(27) 1tp(28) rtp(29) 7tp(30) rtp(31) 1tp(32) Ttp(33) rtp(34) np(35) irp(36) it(37) rtp(38) rr,,(39) irp(40) 7rp(41) 7rp(42) rtp(43) 7tp(44) [207] Above Table 5 represents a group-wise interleaving pattern for a case in which the LDPC encoder 110 performs LDPC encoding on 3240 input bits, that is, the LDPC
in-formation bits, at a code rate of 3/15 to generate 12960 LDPC parity bits, and an LDPC
codeword generated by the LDPC encoding is modulated by QPSK and then is transmitted to the receiver 200.
[208] That is, when 3240 LDPC information bits are encoded at the code rate of 3/15, 12960 LDPC parity bits are generated, and as a result the LDPC codeword may be formed of 16200 bits.
[209] Each bit group is formed of 360 bits, and, as a result, the LDPC
codeword fatined of

20 16200 bits is divided into 45 bit groups.
[210] Here, since the LDPC information bits are 3240 and the LDPC parity bits are 12960, a 0-th bit group to a 8-th bit group correspond to the LDPC information bits and a 9-th bit group to a 44-th bit group correspond to the LDPC parity bits.
[211] In this case, the parity interleaver does not perform parity interleaving, the group-wise interleaver does not perfoun interleaving on bit groups configuring the LDPC in-formation bits, that is, the 0-th bit group to the 8-th bit group, but may interleave bit groups configuring the LDPC parity bits, that is, the 9-th bit group to the 44-th bit group in a group unit to change an order of the 9-th bit group to the 44-th bit group based on above Equation 11 and Table 5.
[212] In detail, in above Table 5, above Equation 11 may be represented like Y0=X0, YI=Xt Y7=X7, Y8-=X8, Y9=Xrcp(9)=X9 Y10=Xotp( l0)=X31 Y11=Xnp(1 l)=X23, = =
Y42=Xnp(42)=X2S Y
43=Xn-p(43)=X399 Y44=Xnp(44)=X42=
[213] Therefore, the group-wise interleaver does not change an order from the 0-th bit group to the 8-th bit group including the LDPC information bit but changes an order from the 9-th bit group to the 44-th bit group including the LDPC parity bits.
[214] In detail, the group-wise interleaver may change the order of the bit group from the 9-th bit group to the 44-th bit group such that the 9-th bit group is positioned at a 9-th position, a 31-th bit group is positioned at a 10-th position, a 23-th bit group is po-sitioned at an 11-th position, ..., a 28-th bit group is positioned at a 42-th position, a 39-th bit group is positioned at a 43-th position, a 42-th bit group is positioned at a 44-th position.
[215] As another example, the group-wise interleaving pattern may be as shown in following Table 6.
[216] [Table 6]
[217] Order of group-wise interleaving Irp(j) (9 .5 I < 45) Ngroup n,(9)u(1O) 1rp(11) ffp(12) 7/(13) rip(14) up(15) up(16) up(17) irp(18) up(19) up(20) 71-p(21) 1Tp(22) ap(23) 7Tp(24) 7Tp(25) up(26) up(27) 1Tp(28) np(29) ap(30) itp(31) 7tp(32) Trp(33) Trp(34) .ftp(35) itp(36) frp(37) n(3R) rip(39) rrf,(40) irp(41) irp(42) 7-4,(43) 7,(44) 39 _ [218] Here, above Table 6 represents a group-wise interleaving pattern for a case in which the LDPC encoder 110 performs LDPC encoding on 3240 input bits, that is, the LDPC
information bits, at the code rate of 3/15 to generate 12960 LDPC parity bits, and an LDPC codeword generated by the LDPC encoding is modulated by QPSK and then is transmitted to the receiver 200.
[219] That is, when 3240 LDPC information bits are encoded at the code rate of 3/15, 12960 LDPC parity bits are generated, and as a result the LDPC codeword may be

21 formed of 16200 bits.
[220] Each bit group is formed of 360 bits and as a result the LDPC
codeword foimed of 16200 bits is divided into 45 bit groups.
[221] Here, since the LDPC information bits are 3240 and the LDPC parity bits are 12960, a 0-th bit group to an 8-th bit group correspond to the LDPC information bits and a 9-th bit group to a 44-th bit group correspond to the LDPC parity bits.
[222] In this case, the parity interleaver does not perform parity interleaving, the group-wise interleaver does not perform interleaving on bit groups configuring the LDPC in-formation bits, that is, the 0-th bit group to the 8-th bit group, but may interleave bit groups configuring the LDPC parity bits, that is, the 9-th bit group to the 44-th bit group in a group unit to change an order of the 9-th bit group to the 44-th bit group based on above Equation 11 and Table 6.
[223] In detail, in above Table 6, above Equation 11 may be represented like Y0=X0, YI=Xi ,===2 Y7=X7, Y8=X82 Y9=Xnp(9)=X9 7 Y10=X3rp(I 0)=X311 YII=Xnp(11)=X232 = = = 7 Y42=X3sp(42)=X 147 Y43=Xnp(43)=X28, Y44=Xscp(44)=X39 =
[224] Therefore, the group-wise interleaver does not change an order of the 0-th bit group to the 8-th bit group including the LDPC information bits but changes an order of the 9-th bit group to the 44-th bit group including the LDPC parity bits.
[225] In detail, the group-wise interleaver may change the order of the bit group from the 9-th bit group to the 44-th bit group such that a 9-th bit group is positioned at a 9-th position, a 31-th bit group is positioned at a 10-th position, a 23-th bit group is po-sitioned at a 11-th position, ..., a 14-th bit group is positioned at a 42-th position, a 28-th bit group is positioned at a 43-th position, a 39-th bit group is positioned at a 44-th position.
[226] As such, the parity permutator 120 may perform the group-wise interleaving on the plurality of bit groups configuring the parity bits to perform parity permutation.
[227] That is, the parity permutator 120 may perform the group-wise interleaving on the plurality of bit groups configuring the LDPC parity bits based on above Equation 11 and Table 4, 5 or 6 to perfoun the parity permutation. In this case, the parity in-terleaving is not performed.
[228] In detail, when the LDPC encoder 110 performs the LDPC encoding on information bits at the code rate of 3/15 to generate 12960 LDPC parity bits, the parity permutator 120 divides the LDPC parity bits into the plurality of bit groups and may perform the plurality of group-wise interleavings based on above Equation 11 and Table 4, 5 or 6 to change the order of the plurality of bit groups.
[229] The parity permutated LDPC codeword bits may be punctured as described below and modulated by QPSK, which may then be transmitted to the receiver 200.
[230] The puncturer 130 punctures some of the parity permutated LDPC parity bits.

22 [231] Here, the puncturing means that some of the LDPC parity bits are not transmitted to the receiver 200. In this case, the puncturer 130 may remove the punctured LDPC
parity bits or output only the remaining bits other than the punctured LDPC
parity bits in the LDPC codeword.
[232] For this purpose, the puncturer 130 may calculate the number of LDPC
parity bits to be punctured.
[233] In detail, the puncturer 130 may calculate the number of LDPC parity bits to be punctured based on Npun, temp which is calculated based on following Equation 12.
[234] .... (12) N punc_temp =LA x (Kidpc- N
¨ outer)] B
[235] In above Equation 12, Npunc_temp represents a temporary number of LDPC parity bits to be punctured, and Kid represents the number of LDPC information bits. Nouter represents the number of outer-encoded bits. Here, when the outer encoding is performed by BCH encoding, N.uter represents the number of BCH encoded bits.
[236] A represents a preset constant. According to an exemplary embodiment, a constant A
value is set at a ratio of the number of bits to be punctured to the number of bits to be shortened, but may be variously set depending on requirements of a system. B
is a value which represents a length of bits to be punctured even when the shortening length is 0 and represents a minimum length that the punctured LDPC parity bits can have. Here, A=2 and B=6036.
[237] The A and B values serve to adjust a code rate at which information bits are actually transmitted. That is, to prepare for a case in which the length of the information bits is short or a case in which the length of the information bits is long, the A and B values serve to adjust the actually transmitted code rate to be reduced.
[238] Further, the puncturer 130 calculates NpEc based on following Equation 13.
[239] .... (13) NFEC _temp 1 N FEC = X I-IMOD
ri= MOD
[240] In above Equation 13, represents a minimum integer which is equal to or f greater than x.
[241] Further, NFEC_temp=Nouter+Ndpe_panty-Npu rx_temp and nmoD is a modulation order. For example, when an LDPC codeword is modulated by QPSK, 16-quadrature amplitude modulation (QAM), 64-QAM or 256-QAM, imp may be 2, 4, 6 or 8, respectively.
[242] Further, NF EE is the number of bits configuring a punctured and shortened LDPC
codeword (that is, LDPC codeword bits to remain after puncturing and shortening).

23 [243] Next, the puncturer 130 calculates Np,õ,, based on following Equation 14.
[244] Npunc=Npunc_temp-(NFEc-NFEc_temp) .... (14) [245] In above Equation 14, Npunc represents the number of LDPC parity bits to be punctured.
[246] Referring to the above process, the puncturer 130 calculates the temporary number N
pune_temp Of LDPC parity bits to be punctured, by adding the constant integer B to a result obtained from a product result of the number of padded zero bits, that is, the shortening length (= Kkipc-Nouter) by A. The constant A value may be set at a ratio of the number of punctured bits to the number of shortened bits according to an exemplary embodiment, but may be variously set depending on requirements of a system.
[247] Further, the puncturer 130 calculates a temporary number NFEC temp of LDPC
codeword bits to constitute the LDPC codeword after puncturing and shortening based on Npunc_temp.
[248] In detail, the LDPC information bits are LDPC-encoded and the LDPC
parity bits generated by the LDPC encoding are added to the LDPC information bits to configure the LDPC codeword. Here, the LDPC information bits include the BCH encoded bits in which the information bits are BCH-encoded and, in some cases, may further include zero bits padded to the information bits.
[249] In this case, since the padded zero bits are LDPC-encoded but are not transmitted to the receiver 200, the shortened LDPC codeword, that is, the LDPC codeword (that is, shortened LDPC codeword) without the padded zero bits may be formed of the BCH

encoded bits and the LDPC parity bits. When the zero bits are not padded, the LDPC
codeword may also be formed of the BCH encoded bits and the LDPC parity bits.
[250] Therefore, the puncturer 130 subtracts the temporary number of punctured LDPC
parity bits from the summed value of the number of BCH encoded bits and the number of LDPC parity bits to calculate NF Ec temp.
[251] The punctured and shortened LDPC codeword bits are modulated by QPSK
to be mapped to constellation symbols and the constellation symbols may be transmitted to the receiver 200 through a frame.
[252] Therefore, the puncturer 130 determines the number NFEC of LDPC
codeword bits to constitute the LDPC codeword after puncturing and shortening based on NFEC_ternp, NFEC
being an integer multiple of the modulation order, and determines the number NE,. of bits which need to be punctured in the shortened LDPC codeword bits to form NFEc Meanwhile, when zero bits are not padded, the LDPC codeword may be founed of BCH encoded bits and LDPC parity bits and the shortening may be omitted.
[253] The puncturer 130 may puncture bits as many as the number calculated in the LDPC
parity bits.
[254] In detail, the puncturer 130 may puncture a specific number of bits at a back portion

24 of the parity permutated LDPC parity bits. That is, the puncturer 130 may puncture N
bits from a last LDPC parity bit among the parity permutated LDPC parity bits.
[255] As such, since the puncturer 130 performs puncturing from the last LDPC parity bit, a bit group of which the position is changed to the back portion in the LDPC
parity bits by the parity permutation may start to be punctured. That is, the first punctured bit group may be a bit group interleaved to a last position by the parity permutation.
[256] The transmitter 100 may transmit an LDPC codeword to the receiver 200.
[257] In detail, the transmitter 100 maps LDPC codeword bits except padded zero bits in the LDPC codeword in which LDPC parity bits are punctured, that is, the punctured and shortened LDPC codeword bits to constellation symbols by QPSK, and may map the symbols to a frame for transmission to the receiver 200.
[258] Therefore, the LDPC codeword in which the LDPC parity bits are punctured may be mapped to the constellation symbols by QPSK to be transmitted to the receiver 200.
For example, some LDPC parity bits in 16200 LDPC codeword bits generated by encoding 3240 input bits at a code rate of 3/15 may be punctured and the LDPC
codeword bits remaining after the puncturing may be modulated by QPSK to be transmitted to the receiver 200.
[259] As described above, since the information bits are signaling including signaling in-formation about data or service data, the transmitter 100 may map the data to a frame along with the signaling for processing the data, and transmit the mapped data to the receiver 200.
[260] In detail, the transmitter 100 may process the data in a specific scheme to generate the constellation symbols and map the generated constellation symbols to data symbols of each frame. Further, the transmitter 100 may map the signaling for data mapped to each data to a preamble of the frame. For example, the transmitter 100 may map the signaling including the signaling information for the data mapped to an i-th frame to the i-th frame.
[261] As a result, the receiver 200 may use the signaling acquired from the frame to acquire and process the data from the frame.
[262] According to the exemplary embodiment, the group-wise interleaving is performed based on above Equation 11 and above Tables 4, 5 or 6 as described above, and the reason for the group-wise interleaving determined like above Tables 4 to 6 is as follows.
[263] In detail, since the B value of above Equation 12 represents the minimum length of the LDPC parity bits to be punctured, the specific number of bits may be always punctured depending on the B value.
[264] For example, according to the exemplary embodiment, since B=6036 and a bit group

25 6036 _I = 16 bit groups are always punctured.
_ 360 [265] In this case, since the puncturing is performed from the last LDPC
parity bit, the specific number of bit groups from a last bit group among the plurality of bit groups configuring the group-wise interleaved LDPC parity bits may be always punctured re-gardless of the shortening length.
[266] That is, in the foregoing example of Table 4, final 16 bit groups among 36 bit groups configuring the group-wise interleaved LDPC parity bits, that is, the bit groups po-sitioned at 29-th to 44-th positions may be always punctured.
[267] Therefore, since the bit groups determined to be always punctured are always punctured, and then, are not transmitted in a current frame, these bit groups need to be positioned only where bits are always punctured after group-wise interleaving.

Therefore, it is not important at which position of these bit groups are positioned after the group-wise interleaving.
[268] When more bits are to be additionally punctured in addition to the LDPC parity bits to be always punctured in response to the number of LDPC parity bits to be punctured, which bit groups are to be additionally punctured is determined depending on which bit groups are sequentially positioned next to the bit groups to be always punctured.
[269] That is, in the foregoing example of Table 4, when the number of LDPC
parity bits to be punctured is 7200, 20 bit groups need to be punctured, and thus, 4 bit groups need to be additionally punctured, in addition to 16 bit groups to be always punctured. In this case, the 4 bit groups to be additionally punctured are positioned from right next to the bit groups to be always punctured based on the puncturing direction and correspond to bit groups positioned at 28-th, 27-th, 26-th and 25-th positions after the group-wise interleaving.
[270] As such, the LDPC parity bits to be additionally punctured may be determined depending on the remaining bit groups other than the bit groups to be always punctured after the group-wise interleaving, that is, the bit groups positioned at 9-th to 28-th positions.
[271] In this case, according to various exemplary embodiments, the indexes of bit groups before the group-wise interleaving which are positioned at a 9-th bit group to a 28-th bit group after the group-wise interleaving are defined as shown in Tables 4 to 6. That is, they may be Y9=X(9)=X9, Yi0=X7,p(10)=X3 Y X
1, - 1=- ¨3rp(1 I )=X23 = = = = 9 Y26=X:cp(26)=X179 Y27 =Xnp(27)=X35, Y28=Xscp(28)=X21.
[272] Therefore, according to various exemplary embodiments, it may be considered that the order of the LDPC parity bits punctured by the group-wise interleaving pattern as shown in above Tables 4 to 6 is determined.

26 [273[ The reason why the permutation order for the group-wise interleaving according to the present exemplary embodiment is denied like Tables 4 to 6 will be described below.
[274] In detail, a process of encoding, by the LDPC encoder 110, 3240 LDPC
information bits at a code rate of 3/15 to generate 12960 LDPC parity bits and inducing the per-mutation order for the group-wise interleaving in the case in which an LDPC
codeword generated by the LDPC encoding is modulated by QPSK and then is transmitted to the receiver 200 is as follows.
[275] A parity check matrix (for example, FIG. 2) of an LDPC code having the code rate of 3/15 may be converted into a parity check matrix having a quasi cyclic structure configured of blocks having a size of 360 x 360 (that is, size of M x M) as illustrated in FIG. 5 by performing an appropriate row permutation process. Here, the row per-mutation process do not change algebraic characteristics of the LDPC code and therefore has been widely used to theoretically analyze the LDPC code.
[276] In a first step for obtaining the permutation order, it is assumed that a length of control information (which is LDPC information bits input of LDPC encoding of which the length is a summed value of the number of information bits and the number of BCH parity-check bits generated by performing BCH encoding on the information bits) is 360 bits. In this case, since 360 bits form one bit group, 360 bits correspond to one bit group, which means that the remaining 8 bit groups other than one information bit group among a total of 9 information bit groups (that is, 9 bit groups configuring the LPDC information bits) are zero-padded.
[277] Here, one bit group which will not be zero-padded depending on a predefined zero padding order is selected (for example, 3-th bit group) and the remaining bit groups are zero-padded. This may be considered that column groups of a parity check matrix cor-responding to zero-padded 8 bit groups are removed in terms of the parity check matrix,. The reason is that since the zero-padded portions are bits already known to the receiver 200, these portions are removed during an LDPC decoding process and may be decoded. This is referred to as shortening.
[278] The parity portion of the LDPC code having the code rate of 3/15 is formed of parity bits all of which the degree is 1 and 2.
[279] In this case, it may be understood that puncturing the parity bits of which the degree is 2 merges two rows connected to element 1 which is present in columns corre-sponding to these bits. This is because the parity node having the degree of 2 transfers only a simple message if the parity node receives no information from the channel.
Meanwhile, upon the merging, for each column in a row newly made by merging two rows, when 1 is present in existing two rows, the element is replaced by 0, and when 1 is present only in one of the two rows, the element is replaced by 1.
Meanwhile, it may

27 be understood that puncturing parity bits having a degree of 1 deletes one row con-catenated to element 1 present in a column corresponding to a corresponding bit.
[280] The number of parity bits to be punctured by the preset A value (for example, 2) and the B value (for example, 6036) and the number of parity bits which are not to be punctured may be calculated. As in the foregoing example, when the length of the control information is 360, the number of parity bits which is not to be punctured may be calculated as 1164 bits. In this case, when 360 bits configure one bit group, 1164 bits correspond to about 3.2 bit groups. That is, three parity bit groups of which all bits are not to be punctured and one parity bit group of which some bits are not to be punctured need to be selected from a total of 36 parity bit groups.
[281] That is, the 8 column blocks which are already identified are deleted from the in-formation bit portion of the parity check matrix of the LDPC code having a code rate of 3/15, and 4 parity bit groups which are not to be punctured are selected to make a row degree of the matrix output at the time of merging row blocks connected to the remaining bit groups except 4 parity bit groups maximally uniform. If the number of cases selecting three parity bit groups to make the row degree of the matrix maximally uniform is plural, the cyclic characteristics and the algebraic characteristics of the parity check matrix in which column deletion and row merging are performed need to be additionally considered. For example, cyclic characteristics such as an approximate cycle extrinsic message degree (ACE) value may be considered. The ACE value of a cycle having a length of 2n is defined as a sum of values obtained by subtracting 2 from a degree of n variable nodes connected to the cycle. Since a cycle having a small ACE value and a short length adversely affects the LDPC code, the number of cycles of which the length is less than or equal to 8 and the ACE value is less than 10 in a matrix left after the in a matrix remaining after column deletion, row merging and row deletion is checked and a case which has the smallest number of cycles is selected. If this case is present in plural, among them, the case in which the real FER
performance is the most excellent is selected. In some cases, when too many number of selections are generated depending on the cyclic characteristics based on the ACE value, a the-oretical prediction value for a minimum signal-to-noise (SNR) which enables error-free communication with respect to ensembles of the LDPC code having a distribution of the same 1 after the column deletion, the row merging and the row deletion for each case is derived by a density evolution analysis and the FER performance is verified by a computation experiment by appropriately adjusting the number of selections based on the minimum SNR values theoretically predicted. Further, since there is a bit group of which only some of bits are punctured, an order of four bit groups is also selected with reference to the real FER performance. In this case, the indexes of the selected four parity bit groups become four bit groups positioned at a beginning portion in the

28 permutation order of the group-wise interleaving. For example, a 9-th bit group, a 31-th bit group, a 23-th bit group and a 10-th bit group of Table 4 may be bit groups after the group-wise interleaving and are then positioned at the beginning portion of the parity portion.
[282] In the next step, one of 8 column groups removed in the first step among the in-formation bit portion of the parity check matrix is recovered depending on the preset order. For example, the column groups corresponding to a 4-th bit groups may be recovered. In this case, the number of parity bits which are not to be punctured is calculated as 1884 bits, which corresponds to about 5.2 bit groups.
[283] Therefore, two parity bit group other than four parity bit groups determined to be not punctured in the previous step needs to be additionally selected. When two parity bit groups are selected, similar to the previous step, a parity group which corresponds to the parity bits to be punctured and makes a degree of each row in the shortened matrix corresponding to the zero-padded bits maximally unifoun is selected. If multiple parity bit groups to make the row degree of the matrix maximally unifoim are present, the number of cycles in which a length is less than or equal to 8 and the ACE
value is less than or equal to 10 is checked in the matrix left after the column deletion and the row merging, and thus, a bit group which has the smallest number of cycles may be selected. If the multiple bit groups have the same cyclic characteristics, a bit group which has the most FER performance is selected.
[284] In the next step, one of 7 column groups removed in the previous step among the in-formation bit portion of the parity check matrix is recovered depending on the preset order. For example, the column group corresponding to an 11-th bit group may be recovered. In this case, the number of parity bits which is not to be punctured is calculated as 2604 bits, which corresponds to about 7.2 bit groups. Therefore, two parity bit groups other than six parity bit groups determined to be not punctured in the previous step need to be additionally selected. In this case, additionally selected two parity bit groups may be determined using the same scheme as the foregoing scheme.
[285] Similarly, the order of the parity bit groups which are not to be punctured until all column groups corresponding to the information bit portion are recovered is de-termined. When all column groups are recovered, the number of parity bits which are not to be punctured is calculated as 6924 bits, which corresponds to about 19.2 bit groups. Even in this case, a parity bit group to be additionally selected may be de-termined using the same scheme as the foregoing scheme.
[286] As a result, 20 indexes at a beginning portion in the permutation order for the group-wise interleaving by the foregoing step may be determined.
[287] For example, the permutation order may start as nõ(9)=9, np(10)=31,3r,(11)=23, ap (12)=10, np(13)=11, 7E1,(l4)=25, np(15)=43, np(16)=29, np(17)=36, np(18)=16, rEp

29 (19)=27, np(20)=34,3r1,(21)=26, np(22)=18, np(23)=37, 7[1)(24)=15, np(25)=13, 7tp (26)=17, np(27)=35, 74(28)=21. Further, in 16 indexes at a last portion other than the 20 indexes at the beginning portion, indexes which are not selected at the beginning portion among indexes (for example, numbers between 9 and 44) corresponding to the parity bit group may be randomly disposed.
[288] As a result, when the group-wise interleaving is performed based on above Table 4, 5 or 6 defined by the foregoing method, the excellent LDPC decoding performance at the receiver 200 may be achieved and the FER performance may be improved.
[289] The bit groups positioned at 12-th, 14-th, 19-th,...,41-th, 42-th, and 44-th positions before the group-wise interleaving in above Table 4 are randomly group-wise in-terleaved at a 29-th position to a 44-th position. However, these bit groups may also be group-wise interleaved at the specific position as shown in above Table 5 or 6, in con-sideration of the additional parity order. The detailed content thereof will be described below.
[290] According to an exemplary embodiment, the foregoing information bits may be im-plemented by Li-detail signaling. Therefore, the transmitter 100 may perform the parity permutation on the Li-detail signaling by using the foregoing method and transmit it to the receiver 200.
[291] Here, the Li-detail signaling may be signaling defined in an Advanced Television System Committee (ATSC) 3.0 standard.
[292] In detail, a mode of processing the Li-detail signaling is divided into seven (7). The transmitter 100 according to the exemplary embodiment may generate additional parity bits according to the foregoing method when an Li-detail mode 2 of the seven modes processes the Li -detail signaling.
[293] The ATSC 3.0 standard defines Li-basic signaling besides the Li-detail signaling.
The transmitter 100 may process the Li-basic signaling and the Li-detail signaling by using a specific scheme and transmit the processed Li-basic signaling and the Li-detail signaling to the receiver 200. In this case, a mode of processing the Li-basic signaling may also be divided into seven.
[294] A method for processing the Li-basic signaling and the Li-detail signaling will be described below.
[295] The transmitter 100 may map the Li-basic signaling and the Li-detail signaling to a preamble of a frame and map data to data symbols of the frame for transmission to the receiver 200.
[296] Referring to FIG. 6, the frame may be configured of three parts, that is, a bootstrap part, a preamble part, and a data part.
[297] The bootstrap part is used for initial synchronization and provides a basic parameter required for the receiver 200 to decode the Li signaling. Further, the bootstrap part

30 may include information about a mode of processing the Li-basic signaling at the transmitter 100, that is, information about a mode the transmitter 100 uses to process the Li-basic signaling.
[298] The preamble part includes the Li signaling, and may be configured of two parts, that is, the Li-basic signaling and the Li-detail signaling.
[299] Here, the Li-basic signaling may include infoimation about the Li-detail signaling, and the Li -detail signaling may include information about data. Here, the data is broadcasting data for providing broadcasting services and may be transmitted through at least one physical layer pipes (PLPs).
[300] In detail, the Li-basic signaling includes information required for the receiver 200 to process the Li-detail signaling. This information includes, for example, information about a mode of processing the Li-detail signaling at the transmitter 100, that is, in-formation about a mode the transmitter 100 uses to process the Li-detail signaling, in-formation about a length of the Li-detail signaling, information about an additional parity mode, that is, information about a K value used for the transmitter 100 to generate additional parity bits using an L1B Ll_Detail additional parity mode (here, when the L1B_Ll_Detail_additional_parity_mode is set as '00', K =0 and the ad-ditional parity bits are not used), and information about a length of total cells. Further, the Li-basic signaling may include basic signaling information about a system including the transmitter 100 such as a fast Fourier transform (FFT) size, a guard interval, and a pilot pattern.
[301] Further, the Li-detail signaling includes infomiation required for the receiver 200 to decode the PLPs, for example, start positions of cells mapped to data symbols for each PLP, PLP identifier (ID), a size of the PLP, a modulation scheme, a code rate, etc..
[302] Therefore, the receiver 200 may acquire frame synchronization, acquire the Li-basic signaling and the Li-detail signaling from the preamble, and receive service data required by a user from data symbols using the Li-detail signaling.
[303] The method for processing the Li-basic signaling and the Li-detail signaling will be described below in more detail with reference to the accompanying drawings.
[304] FIGs. 7 and 8 are block diagrams for describing detailed configurations of the transmitter 100, according to exemplary embodiments.
[305] In detail, as illustrated in FIG. 7, to process the Li-basic signaling, the transmitter 100 may include a scrambler 211, a BCH encoder 212, a zero padder 213, an LDPC

encoder 214, a parity permutator 215, a repeater 216, a puncturer 217, a zero remover 219, a bit demultiplexer 219, and a constellation mapper 221.
[306] Further, as illustrated in FIG. 8, to process the Li-detail signaling, the transmitter 100 may include a segmenter 311, a scrambler 312, a BCH encoder 313, a zero padder 314, an LDPC encoder 315, a parity permutator 316, a repeater 317, a puncturer 318, an ad-

31 ditional parity generator 319, a zero remover 321, bit demultiplexers 322 and 323, and constellation mappers 324 and 325.
[307] Here, the components illustrated in FIGs. 7 and 8 are components for performing encoding and modulation on the Li-basic signaling and the Li-detail signaling, which is only one example. According to another exemplary embodiments, some of the components illustrated in FIGs. 7 and 8 may be omitted or changed, and other components may also be added. Further, positions of some of the components may be changed. For example, the positions of the repeaters 216 and 317 may be disposed after the puncturers 217 and 318, respectively.
[308] The LDPC encoder 315, the repeater 317, the puncturer 318, and the additional parity generator 319 illustrated in FIG. 8 may perform the operations performed by the LDPC
encoder 110, the repeater 120, the puncturer 130, and the additional parity generator 140 illustrated in FIG. 1, respectively.
[309] In describing FIGs. 7 and 8, for convenience, components for performing common functions will be described together.
[310] The Li-basic signaling and the Li-detail signaling may be protected by con-catenation of a BCH outer code and an LDPC inner code. However, this is only one example. Therefore, as outer encoding performed before inner encoding in the con-catenated coding, another encoding such as CRC encoding in addition to the BCH

encoding may be used. Further, the Li-basic signaling and the Li-detail signaling may be protected only by the LDPC inner code without the outer code.
[311] First, the Li-basic signaling and the Li-detail signaling may be scrambled. Further, the Li-basic signaling and the Li-detail signaling are BCH encoded, and thus, BCH
parity check bits of the Li-basic signaling and the Li-detail signaling generated from the BCH encoding may be added to the Li-basic signaling and the Li-detail signaling, respectively. Further, the concatenated signaling and the BCH parity check bits may be additionally protected by a shortened and punctured 16K LDPC code.
[312] To provide various robustness levels appropriate for a wide signal to noise ratio (SNR) range, a protection level of the Li-basic signaling and the Li -detail signaling may be divided into seven (7) modes. That is, the protection level of the Li-basic signaling and the Li-detail signaling may be divided into the seven modes based on an LDPC code, a modulation order, shortening/puncturing parameters (that is, a ratio of the number of bits to be punctured to the number of bits to be shortened), and the number of bits to be basically punctured (that is, the number of bits to be basically punctured when the number of bits to be shortened is 0). In each mode, at least one different combination of the LDPC code, the modulation order, the constellation, and the shortening/puncturing pattern may be used.
[313] A mode for the transmitter 100 to processes the signaling may be set in advance

32 depending on a system. Therefore, the transmitter 100 may detelin ine parameters (for example, modulation and code rate (ModCod) for each mode, parameter for the BCH
encoding, parameter for the zero padding, shortening pattern, code rate/code length of the LDPC code, group-wise interleaving pattern, parameter for repetition, parameter for puncturing, and modulation scheme, etc.) for processing the signaling depending on the set mode, and may process the signaling based on the determined parameters and transmit the processed signaling to the receiver 200. For this purpose, the transmitter 100 may pre-store the parameters for processing the signaling depending on the mode.
[314] Modulation and code rate configurations (ModCod configurations) for the seven modes for processing the Li-basic signaling and the seven modes for processing the Li-detail signaling are shown in following Table 7. The transmitter 100 may encode and modulate the signaling based on the ModCod configurations defined in following Table 7 according to a corresponding mode. That is, the transmitter 100 may determine an encoding and modulation scheme for the signaling in each mode based on following Table 7, and may encode and modulate the signaling according to the determined scheme. In this case, even when modulating the Li signaling by the same modulation scheme, the transmitter 100 may also use different constellations.
[315] [Table 71 [316]
_____________________________ I Signaling FEC TYpe Code Code Rate Constellation Length Mode 1 QPSK
Mode 2 QPSK
Mode 3 QPSK
L1-Basic Mode 4 200 3/15 NUC 16-QAM
Mode 5 (T ype A) NUC 64-QAM
Mode 6 NUC 256-QAM
Mode 7 16200 NUC 256-CAM
Mode 1 400 ¨ 2352 QPSK
Mode 2 400 ¨ 3072 QPSK
Mode 3 QPSK
L1-Detail Mode 4 NUC 16-QAM

Mode 5 400 ¨ 6312 T B) NUC 64-QAM
ype ( Mode 6 NUC 256-CAM
Mode 7 NUC 256-CAM
[317] In above Table 7, Ksig represents the number of information bits for a coded block.
That is, since the Li signaling bits having a length of Ksig are encoded to generate the coded block, a length of the Li signaling in one coded block becomes K,,,.
Therefore, the Li signaling bits having the size of K218 may be considered as corresponding to one LDPC coded block.
[318] Referring to above Table 7, the Km, value for the Li-basic signaling is fixed to 200.
However, since the amount of Li-detail signaling bits varies, the K.518 value for the Li-detail signaling varies.
[319] In detail, in a case of the Li-detail signaling, the number of Li-detail signaling bits varies, and thus, when the number of Li-detail signaling bits is greater than a preset

33 value, the Li-detail signaling may be segmented to have a length which is equal to or less than the preset value.
[320] In this case, each size of the segmented Li-detail signaling blocks (that is, segment of the Li-detail signaling) may have the Ksig value defined in above Table 7.
Further, each of the segmented Li-detail signaling blocks having the size of Icig may correspond to one LDPC coded block.
[321] However, when the number of Li-detail signaling bits is equal to or less than the preset value, the Li-detail signaling is not segmented. In this case, the size of the Li-detail signaling may have the lc, value defined in above Table 7. Further, the Li-detail signaling having the size of Ics may correspond to one LDPC coded block.
[322] Hereinafter, a method for segmenting Li-detail signaling will be described in detail.
[323] The segmenter 311 segments the Li-detail signaling. In detail, since the length of the Li-detail signaling varies, when the length of the Li-detail signaling is greater than the preset value, the segmenter 311 may segment the Li-detail signaling to have the number of bits which are equal to or less than the preset value and output each of the segmented Li-detail signalings to the scrambler 312.
[324] However, when the length of the Li-detail signaling is equal to or less than the preset value, the segmenter 311 does not perform a separate segmentation operation.
[325] A method for segmenting, by the segmenter 311, the Li -detail signaling is as follows.
[326] The amount of Li-detail signaling bits varies and mainly depends on the number of PLPs. Therefore, to transmit all bits of the Li-detail signaling, at least one forward error correction (FEC) frame is required. Here, an FEC frame may represent a form in which the Li-detail signaling is encoded, and thus, parity bits according to the encoding are added to the Li-detail signaling.
[327] In detail, when the Li -detail signaling is not segmented, the Li-detail signaling is BCH-encoded and LDPC encoded to generate one FEC frame, and therefore, one FEC

frame is required for the Li-detail signaling transmission. However, when the Li-detail signaling is segmented into at least two, these segmented Li -detail signalings each are BCH- encoded and LDPC-encoded to generate at least two FEC frames, and therefore, at least two FEC frames are required for the Li-detail signaling transmission.
[328] Therefore, the segmenter 311 may calculate the number MAD FECFRAME of FEC frames for the Li-detail signaling based on following Equation 15. That is, the number NE1D_ FECFRAME of FEC frames for the Li-detail signaling may be determined based on following Equation 15.

34 [329] (15) [ K L1D_ex_pad NUD_FECFRAME
Kseg [330] In above Equation 15, [X1 represents a minimum integer which is equal to or greater than x.
[331] Further, in above Equation 15, KLID_ekimil represents the length of the Li-detail signaling except Li padding bits as illustrated in FIG. 9, and may be determined by a value of an L1B_Ll_Detail_size_bits field included in the Li-basic signaling.
[332] Further, Kseg represents a threshold number for segmentation defined based on the number Ldpe of information bits input to the LDPC encoder 315, that is, the LDPC in-formation bits. Further, Leg may be defined based on the number of BCH parity check bits of BCH encoding and a multiple value of 360.
[333] K.õ0 is determined such that, after the Li-detail signaling is segmented, the number K
sig of information bits in the coded block is set to be equal to or less than Kidpc-Mouter. In detail, when the Li-detail signaling is segmented based on Leg, since the length of segmented L1-detail signaling does not exceed Kseg, the length of the segmented Li-detail signaling is set to be equal to or less than Kidpc-Mõ,õ,e, when Leg is set like in Table 8 as following.
[334] Here, Mo,- and Kid are as following Tables 9 and 10. For sufficient robustness, the Icõ value for the Li-detail signaling mode 1 may be set to be K1-M0-720.
[335] Leg for each mode of the Li-detail signaling may be defined as following Table 8. In this case, the segmenter 311 may determine Leg according to a corresponding mode as shown in following Table 8.
[336] [Table 8]
[337] L1-Detail Mode 1 2352 Mode 2 3072 Mode 3 Mode 4 Mode 5 6312 Mode 6 Mode 7 [338] As illustrated in FIG. 9, an entire Li-detail signaling may be formed of Ll-detail signaling and Li padding bits.
[339] In this case, the segmenter 311 may calculate a length of an Ll_PADDING field for the Li-detail signaling, that is, the number L D_pAD of the Li padding bits based on following Equation 16.
[340] However, calculating KLID_PAD based on following Equation 16 is only one example.
That is, the segmenter 311 may calculate the length of the Ll_PADDING field for the

35 L1-detail signaling, that is, the number KL1D PAD of the Li padding bits based on Kul) _ex_pad and NL1D_FECFRAME values. As one example, the KL1D_PAD value may be obtained based on following Equation 16. That is, following Equation 16 is only one example of a method for obtaining a KLIDJAD value, and thus, another method based on the KLID
_ex_pad and NL1D_FECFRA1E values may be applied to obtain an equivalent result.
[341]
K L1D_ex_pad K Li D PAD cn X 8 X N D FECFRAME K D_ex_pad L1D_FECFRAME X u/
(16) [342] Further, the segmenter 311 may fill the Ll_PADDING field with KL1D_PAD zero bits (that is, bits having a 0 value). Therefore, as illustrated in FIG. 11, the KL1D_PAD zero bits may be filled in the Li _PADDING field.
[343] As such, by calculating the length of the Ll_PADDING field and padding zero bits of the calculated length to the Li _PADDING field, the Li-detail signaling may be segmented into the plurality of blocks formed of the same number of bits when the Ll-detail signaling is segmented.
[344] Next, the segmenter 311 may calculate a final length /cm of the entire Li-detail signaling including the zero padding bits based on following Equation 17.
[345] KLID=KL1D_ex_pad+KL1D_PAD ==.. (17) [346] Further, the segmenter 311 may calculate the number Icig of information bits in each of the NL1D_FECFRAME blocks based on following Equation 18.
[347] Ic,g=KLID/NL1D_FECFRAME ===. (18) [348] Next, the segmenter 311 may segment the Li-detail signaling by K,ie number of bits.
[349] In detail, as illustrated in FIG, 9, when NLID_YECFRAME is greater than 1, the segmenter 311 may segment the Li-detail signaling by the number of Kijg bits to segment the Li-detail signaling into the NLID_FECFRAME blocks.
[350] Therefore, the Li-detail signaling may be segmented into NLID_FEcERAmE blocks, and the number of Li-detail signaling bits in each of the NL1D_FECFRAME blocks may be Kbig=
Further, each segmented Li-detail signaling is encoded. As an encoded result, a coded block, that is, an FEC frame is formed, such that the number of Li -detail signaling bits in each of the NL1D_FECFRAME coded blocks may be Ksig=
[351] However, when the Li-detail signaling is not segmented, Ksig=KL1D_ex_pad=
[352] The segmented Li-detail signaling blocks may be encoded by a following procedure.
[353] In detail, all bits of each of the Li-detail signaling blocks having the size Ksig may be scrambled. Next, each of the scrambled Li-detail signaling blocks may be encoded by concatenation of the BCH outer code and the LDPC inner code.
[354] In detail, each of the Li-detail signaling blocks is BCH-encoded, and thus Ku,

36 (=168) BCH parity check bits may be added to the Ksig Li-detail signaling bits of each block, and then, the concatenation of the Li-detail signaling bits and the BCH
parity check bits of each block may be encoded by a shortened and punctured 16K LDPC
code. The details of the BCH code and the LDPC code will be described below.
However, the exemplary embodiments describe only a case in which Mouter=168, but it is apparent that M, may be changed into an appropriate value depending on the re-quirements of a system.
[355] The scramblers 211 and 312 scramble the Li-basic signaling and the Li-detail signaling, respectively. In detail, the scramblers 211 and 312 may randomize the Li-basic signaling and the Li-detail signaling, and output the randomized Li-basic signaling and Li-detail signaling to the BCH encoders 212 and 313, respectively.
[356] In this case, the scramblers 211 and 312 may scramble the information bits by a unit Of Ksig.
[357] That is, since the number of Li-basic signaling bits transmitted to the receiver 200 through each frame is 200, the scrambler 211 may scramble the Li-basic signaling bits by Ksig (=200).
[358] Since the number of Ll-basic signaling bits transmitted to the receiver 200 through each frame varies, in some cases, the Li-detail signaling may be segmented by the segmenter 311. Further, the segmenter 311 may output the Li-detail signaling formed of Ksig bits or the segmented Li-detail signaling blocks to the scrambler 312.
As a result, the scrambler 312 may scramble the Li-detail signaling bits by every Ksi, which are output from the segmenter 311.
[359] The BCH encoders 212 and 313 perform the BCH encoding on the Li-basic signaling and the Ll-detail signaling to generate the BCH parity check bits.
[360] In detail, the BCH encoders 212 and 313 may perform the BCH encoding on the Li-basic signaling and the Li-detail signaling output from the scramblers 211 and 313, respectively, to generate the BCH parity check bits, and output the BCH-encoded bits in which the BCH parity check bits are added to each of the Li-basic signaling and the Li-detail signaling to the zero padders 213 and 314, respectively.
[361] For example, the BCH encoders 212 and 313 may perform the BCH
encoding on the input K bits to generate the M outer (that is, Ksigayload) =Kp 1 BCH parity check bits and output the BCH-encoded bits formed of Nouter (= K,ig+Mouter) bits to the zero padders 213 and 314, respectively.
[362] The parameters for the BCH encoding may be defined as following Table 9.
[363] [Table 9]

37 [364] Ks ig Signaling FEC Type Moots,' Noutor= Nig 4. Monter = Kpayload Mode 1 Mode 2 Mode 3 L1-Basic Mode 4 200 368 Mode 5 Mode 6 Mode 7 Mode 1 400 - 2352 568-2520 Mode 2 400 - 3072 568 - 3240 Mode 3 L1-Detail Mode 4 Mode 5 400 - 6312 568 - 6480 Mode 6 Mode 7 [365] Referring to FIGs. 7 and 8, it may be appreciated that the LDPC
encoders 214 and 315 may be disposed after the BCH encoders 212 and 313, respectively.
[366] Therefore, the Li-basic signaling and the Li-detail signaling may be protected by the concatenation of the BCH outer code and the LDPC inner code.
[367] In detail, the Li-basic signaling and the Li-detail signaling are BCH-encoded, and thus, the BCH parity check bits for the Li-basic signaling are added to the Li-basic signaling and the BCH parity check bits for the Li-detail signaling are added to the Li-detail signaling. Further, the concatenated Li-basic signaling and BCH
parity check bits are additionally protected by an LDPC code, and the concatenated Li-detail signaling and BCH parity check bits may be additionally protected by an LDPC
code.
[368] Here, it is assumed that an LDPC code for LDPC encoding is a 16K LDPC
code, and thus, in the BCH encoders 212 and 213, a systematic BCH code for Knner=16200 (that is, the code length of the 16K LDPC code is 16200 and an LDPC codeword generated by the LDPC encoding may be formed of 16200 bits) may be used to perfoun outer encoding of the Li-basic signaling and the Li-detail signaling.
[369] The zero padders 213 and 314 pad zero bits. In detail, for the LDPC
code, a prede-termined number of LDPC information bits defined according to a code rate and a code length is required, and thus, the zero padders 213 and 314 may pad zero bits for the LDPC encoding to generate the predetermined number of LDPC information bits formed of the BCH-encoded bits and zero bits, and output the generated bits to the LDPC encoders 214 and 315, respectively, when the number of BCH-encoded bits is less than the number of LDPC information bits. When the number of BCH-encoded bits is equal to the number of LDPC information bits, zero bits are not padded.
[370] Here, zero bits padded by the zero padders 213 and 314 are padded for the LDPC
encoding, and therefore, the padded zero bits padded are not transmitted to the receiver 200 by a shortening operation.
[371] For example, when the number of LDPC information bits of the 16K LDPC
code is Kldpc, in order to form Kid LDPC information bits, zero bits are padded to some of the

38 LDPC information bits.
[372] In detail, when the number of BCH-encoded bits is Nouter, the number of LDPC in-formation bits of the 16K LDPC code is Kid, and Nõõ,õ < Kid, the zero padders and 314 may pad the Kidpc-Nouter zero bits to some of the LDPC information bits, and use the Nome.- BCH-encoded bits as the remaining portion of the LDPC
information bits to generate the LDPC information bits formed of Kidp, bits. However, when Nõõte,=Ki, zero bits are not padded.
[373] For this purpose, the zero padders 213 and 314 may divide the LDPC
information bits into a plurality of bit groups.
[374] For example, the zero padders 213 and 314 may divide the Kkip,,. LDPC
information bits (i0, K_i) into Ninfo_group(=Kidpc/360) bit groups based on following kipr Equation 19 or 20. That is, the zero padders 213 and 314 may divide the LDPC
in-formation bits into the plurality of bit groups so that the number of bits included in each bit group is 360.
[375] .... (19) ==[ k 360 _1'0 < K !ape} for 0 j <N inf o_group [376] .... (20) Z = 360 x j k < 360 x (j-F1) 1 for 0 j < N info_group [377] In above Equations 19 and 20, Z; represents a j-th bit group.
[378] The parameters Muter, Kid, and Ninfo_uoup for the zero padding for the Li-basic signaling and the Li-detail signaling may be defined as shown in following Table 10.
In this case, the zero padders 213 and 314 may determine parameters for the zero padding according to a corresponding mode as shown in following Table 10.
[379] [Table 101 [380]
Signaling FEC Type Nouter Kldpc Ninfo_group Ll -Basic (all modes) L1-Detail Mode 1 568 - 2520 Ll-Detail Mode 2 568 - 3240 Ll-Detail Mode 3 Li-Detail Mode 4 L'I-Detail Mode 5 568 - 6480 6480 18 Ll-Detail Mode 6 Ll-Detail Mode 7 [381] Further, for 0 <Ninfo_group, each bit group Z; as shown in FIG. 10 may be formed of 360 bits.
[382] In detail, FIG. 10 illustrates a data format after the Li-basic signaling and the Li-detail signaling each are LDPC-encoded. In FIG. 10, an LDPC FEC added to the K
Idpe LDPC information bits represents the LDPC parity bits generated by the LDPC

39 encoding.
[383] Referring to FIG. 10, the Kidpe LDPC information bits are divided into the Ninfo p bits groups and each bit group may be formed of 360 bits.
[384] When the number Noute.(= Ksig+Mouter) of BCH-encoded bits for the Li-basic signaling and the Li-detail signaling is less than the Kidpõ that is, Noutõ(=
Icig+Moutõ)< K1dõ, for the LDPC encoding, the Kidpc LDPC information bits may be filled with the Nouter BCH-encoded bits and the Kidpc-Notiter zero-padded bits. In this case, the padded zero bits are not transmitted to the receiver 200.
[385] Hereinafter, a shortening procedure performed by the zero padders 213 and 314 will be described in more detail.
[386] The zero padders 213 and 314 may calculate the number of padded zero bits. That is, to fit the number of bits required for the LDPC encoding, the zero padders 213 and 314 may calculate the number of zero bits to be padded.
[387] In detail, the zero padders 213 and 314 may calculate a difference between the number of LDPC information bits and the number of BCH-encoded bits as the number of padded zero bits. That is, for a given Nouter, the zero padders 213 and 314 may calculate the number of padded zero bits as Kkipc-Nouter.
[388] Further, the zero padders 213 and 314 may calculate the number of bit groups in which all the bits are padded. That is, the zero padders 213 and 314 may calculate the number of bit groups in which all bits within the bit group are padded by zero bits.
[389] In detail, the zero padders 213 and 314 may calculate the number Npad of groups to which all bits are padded based on following Equation 21 or 22.
[390] .... (21) [ K ldpc N outer]
N
pad 360 [391] .... (22) [ (Kidpc- M outer) K sig N pad ¨ 360 [392] Next, the zero padders 213 and 314 may determine bit groups in which zero bits are padded among a plurality of bit groups based on a shortening pattern, and may pad zero bits to all bits within some of the determined bit groups and some bits within the remaining bit groups.
[393] In this case, the shortening pattern of the padded bit group may be defined as shown in following Table 11. In this case, the zero padders 213 and 314 may determine the shortening patterns according to a corresponding mode as shown in following Table 11.
[394] [Table 11]

40 [395] ws(,) to j < lirelfojnni0 Signaling FEC Alm" , ,=0-Type oup 5% -I 71- s'1' Trs(2) 71's (3) ws(4) 3Ts(5:1 1r56) 775..7 i IT s(8) IrS(9) i1 O) 71-s(1l) ITsi12) Ast13) ,m-st14,) n-sk15,,J
irst le) _Irsi.,17) triliiie 4 1 5 2 8 6 0 7 3 (for all modes) - - - - -L1-Detall Modal 9 7 8 5 4 1 2 6 3 0 L1-Detail Mode 2 - -0 12 15 13 2 5 7 9 8 , LID -etail Mode 3 e ,16 10 14 1 17 11 4 3 Ll -Detail Mode 4 4 , 7 12 8 14 2 3 9 10 L1-Detail Mode 5 18 8 10 14 16 0 11 13 12 3 L1-Detail Mode 6=

Li-D l Mode 7 15 7 6 11 5 10 16 4 12 etai 1 [396] Here, 7rs(j) is an index of a j-th padded bit group. That is, the it(j) represents a shortening pattern order of the j-th bit group. Further, Ninfo_group is the number of bit groups configuring the LDPC information bits.
[397] In detail, the zero padders 213 and 314 may determine Z Jo, Z -, Z 7,,(N,..r1) as bit groups in which all bits within the bit group are n n ,(1), -padded by zero bits based on the shortening pattern, and pad zero bits to all bits of the bit groups. That is, the zero padders 213 and 314 may pad zero bits to all bits of a Jr, (0)-th bit group, a 3ts(1)-th bit group,....a 31s(Np5d-1)-th bit group among the plurality of bit groups based on the shortening pattern.
[398] As such, when Npad is not 0, the zero padders 213 and 314 may determine a list of the Npad bit groups, that is, z (Ar,1) Z Z based on above Table 11, and ic,(1).=". N,-pad zero bits to all bits within the determined bit group.
[399] However, when the Npad is 0, the foregoing procedure may be omitted.
[400] Meanwhile, since the number of all the padded zero bits is Kidpc-Nouõ, and the number of zero bits padded to the Npad bit groups is 360xNp3d, the zero padders 213 and 314 may additionally pad zero bits to Kidpe-Not,õ,--360xNpad LDPC infoimation bits.
[401] In this case, the zero padders 213 and 314 may determine a bit group to which zero bits are additionally padded based on the shortening pattern, and may additionally pad zero bits from a head portion of the determined bit group.
[402] In detail, the zero padders 213 and 314 may determine z It, ( Npm) as a bit group to which zero bits are additionally padded based on the shortening pattern, and may addi-tionally pad zero bits to the Kldpe-N.,,-360xNpad bits positioned at the head portion of z.(1,7,..,) Therefore, the Kldpc-N0u-360xNpad zero bits may be padded from a first bit of the ns(Npad)-th bit group.
[403] As a result, for z (N,)' zero bits may be additionally padded to the Kidpc-Nbch -7, ::4

41 360xNpad bits positioned at the head portion of the z7,(jv [404] Meanwhile, the foregoing example describes that Kidpc-Not,-360xNpad zero bits are padded from a first bit of the z which is only one example. Therefore, the position at which zero bits are padded in the z (isrpõ) may be changed. For example, the Kidoc-Noiner-360xNpad zero bits may be padded to a middle portion or a last portion of the z ivpad) or may also be padded at any position of the z [405] Next, the zero padders 213 and 314 may map the BCH-encoded bits to the positions at which zero bits are not padded to configure the LDPC information bits.
[406] Therefore, the Muter BCH-encoded bits are sequentially mapped to the bit positions at which zero bits in the Kldpc LDPC information bits (i0, f ) are not padded, Km.
and thus, the Kidp, LDPC information bits may be formed of the Miner BCH-encoded bits and the Kidpc-Nonter information bits.
[407] The padded zero bits are not transmitted to the receiver 200. As such, a procedure of padding the zero bits or a procedure of padding the zero bits and then not transmitting the padded zero bits to the receiver 200 may be called shortening.
[408] The LDPC encoders 214 and 315 perform LDPC encoding on the Li-basic signaling and the Li-detail signaling, respectively.
[409] In detail, the LDPC encoders 214 and 315 may perform LDPC encoding on the LDPC information bits output from the zero padders 213 and 31 to generate LDPC

parity bits, and output an LDPC codeword including the LDPC information bits and the LDPC parity bits to the parity permutators 215 and 316, respectively.
[410] That is, Kkip, bits output from the zero padder 213 may include Ksig Li-basic signaling bits, M.te,(=NouterKsig) BCH parity check hits, and Kid,-Nouter padded zero bits, which may configure Kid LDPC information bits i=(i0, j1 I) for the LDPC encoder 214.
[411] Further, the Kidp, bits output from the zero padder 314 may include the IQ, Li-detail signaling bits, the M ( N
- -outer,=- outerKsig) BCH parity check bits, and the (Kmpe-Nouter) padded zero bits, which may configure the Kidpe LDPC information bits i=00, ) for the LDPC encoder 315.
[412] In this case, the LDPC encoders 214 and 315 may systematically perform the LDPC
encoding on the Kidp, LDPC information bits to generate an LDPC codeword A=(co, c1, ===, C N -1) = ===1 I ichte,_1, Po, Pi, p xut.,_1) formed of NimeT bits.
[413] In the Li-basic modes and the Li-detail modes 1 and 2, the LDPC
encoders 214 and 315 may encode the Li-basic signaling and the Li-detail signaling at a code rate of

42 3/15 to generate 16200 LDPC codeword bits. In this case, the LDPC encoders 214 and 315 may perform the LDPC encoding based on above Table 1.
[414] Further, in the Li-detail modes 3, 4, 5 6, and 7, the LDPC encoder 315 may encode the Li-detail signaling at a code rate of 6/15 to generate the 16200 LDPC
codeword bits. In this case, the LDPC encoder 315 may perform the LDPC encoding based on above Table 3.
[415] The code rate and the code length for the Li-basic signaling and the Ll -detail signaling are as shown in above Table 7, and the number of LDPC information bits are as shown in above Table 11.
[416] The parity permutators 215 and 316 perform parity permutation. That is, the parity permutators 215 and 316 may perform permutation only on the LDPC parity bits among the LDPC information bits and the LDPC parity bits.
[417] In detail, the parity permutators 215 and 316 may perform the permutation only on the LDPC parity bits in the LDPC codewords output from the LDPC encoders 214 and 315, and output the parity permutated LDPC codewords to the repeaters 216 and 317, respectively. The parity permutator 316 may output the parity permutated LDPC
codeword to an additional parity generator 319. In this case, the additional parity generator 319 may use the parity permutated LDPC codeword output from the parity permutator 316 to generate additional parity bits.
[418] For this purpose, the parity permutators 215 and 316 may include a parity interleaver (not illustrated) and a group-wise interleaver (not illustrated).
[419] First, the parity interleaver may interleave only the LDPC parity bits among the LDPC information bits and the LDPC parity bits configuring the LDPC codeword.
However, the parity interleaver may perfolln the parity interleaving only in the cases of the Li-detail modes 3, 4, 5, 6 and 7. That is, since the Li-basic modes and the Li-detail modes 1 and 2 include the parity interleaving as a portion of the LDPC
encoding process, in the Li-basic modes and the Li-detail modes 1 and 2, the parity interleaver may not perform the parity interleaving.
[420] In the mode of performing the parity interleaving, the parity interleaver may in-terleave the LDPC parity bits based on following Equation 23.
[421] ui=ci for Kidpe (information bits are not interleaved) [422] u Ki4.+360t ,F= c Kt4..+27.rt., for 05s < 360, 05t< 27 .... (23) [423] In detail, based on above Equation 23, the LDPC codeword (co, cl, c ) is parity-interleaved by the parity interleaver and an output of the parity interleaver may be represented by U = (uo, , u Ar -1)=
[424] Meanwhile, since the Li-basic modes and the Li-detail modes 1 and 2 do not use the

43 parity interleaver, an output U = (uo, ul, u 2v1of the parity interleaver may be represented as following Equation 24.
[425] ui=c; for 0<i <Ninner .... (24) [426] The group-wise interleaver may perform the group-wise interleaving on the output of the parity interleaver.
[427] Here, as described above, the output of the parity interleaver may be an LDPC
codeword parity-interleaved by the parity interleaver or may be an LDPC
codeword which is not parity-interleaved by the parity interleaver.
[428] Therefore, when the parity interleaving is performed, the group-wise interleaver may perform the group-wise interleaving on the parity interleaved LDPC codeword, and when the parity interleaving is not performed, the group-wise interleaver may perform the group-wise interleaving on the LDPC codeword which is not parity-interleaved.
[429] In detail, the group-wise interleaver may interleave the output of the parity in-terleaver in a bit group unit.
[430] For this purpose, the group-wise interleaver may divide an LDPC
codeword output from the parity interleaver into a plurality of bit groups. As a result, the LDPC parity bits output from the parity interleaver may be divided into a plurality of bit groups.
[431] In detail, the group-wise interleaver may divide the LDPC-encoded bits (uo, ul, ) output from the parity interleaver into Ngroup(=N;nne. - J360) bit groups based on -following Equation 25.
[432] X={ u, I 360xj=k< 360x(j+1), 01( < Ninner } for < Nmoup ... (25) [433] In above Equation 25, N represents a j-th bit group.
[434] FIG. 11 illustrates an example of dividing the LDPC codeword output from the parity interleaver into a plurality of bit groups.
[435] Referring to FIG. 11, the LDPC codeword is divided into Ng,õ,,p(=Nione,/360) bit groups, and each bit group N for 0 j <Nproup is formed of 360 bits.
[436] As a result, the LDPC information bits formed of Kldp, bits may be divided into Kid /
360 bit groups and the LDPC parity bits formed of N.,-Kidoc bits may be divided into Ni.õ-Kidoc/360 bit groups.
[437] Further, the group-wise interleaver performs the group-wise interleaving on the LDPC codeword output from the parity interleaver.
[438] In this case, the group-wise interleaver does not perform interleaving on the LDPC
information bits, and may perform the interleaving only on the LDPC parity bits to change the order of the plurality of bit groups configuring the LDPC parity bits.
[439] As a result, the LDPC information bits among the LDPC bits may not be interleaved by the group-wise interleaver but the LDPC parity bits among the LDPC bits may be interleaved by the group-wise interleaver. In this case, the LDPC parity bits may be in-

44 terleaved in a group unit.
[440] In detail, the group-wise interleaver may perform the group-wise interleaving on the LDPC codeword output from the parity interleaver based on following Equation 26.
[441] Yi=XJ, 0Sj < Kidpc/360 [442] Yli=X,4,(J) Kidpe/360j <Nõ, .... (26) [443] Here, N represents a j-th bit group among the plurality of bit groups configuring the LDPC codeword, that is, the j-th bit group which is not group-wise interleaved, and yi represents the group-wise interleaved j-th bit group. Further, Try(j) represents a per-mutation order for the group-wise interleaving.
[444] The permutation order may be defined based on following Table 12 and Table 13.
Here, Table 12 shows a group-wise interleaving pattern of a parity portion in the Ll-basic modes and the Ll-detail modes 1 and 2, and Table 13 shows a group-wise in-terleaving pattern of a parity portion for the Li-detail modes 3, 4, 5, 6 and 7.
[445] In this case, the group-wise interleaver may determine the group-wise interleaving pattern according to a corresponding mode shown in following Tables 12 and 13.
[446] [Table 12]
[447] Order of group-wise interleaving irpi_vi ( j 45) Signaling Ngroup n(9) up(10) 71-õ(11) 7402) up(13) n,(14) up(15) n(16) up(17) n(18)n(19)n(20)FEC Type up(21) up(22) up(23) 10(24) n,(2 S) up(26) rtp(27) up(28) up(2)) 71p(30) 7Tp(31) 14,(32) up(33) up(34) rt:435) 10(36) up(37) ii(B8) rtp(39) 7Tp(40) rrp(41) up(42) np(43) up(44) L1-Basic 20 23 25 32 38 41 18 9 10 11 31 (all modes) 14 15 _26 40 33 19 28 34 16 39 16 22 .27 30 37 44 20 23 25 32 L1-Detall

45 9 10 17 18 21 33 35 14 28 12 Mode 1 11 24 29 .34 36 13 40 43 31 .26 9 31 23 _10 11 25 _43 29 36 16 27 34 L1-Detail Mode 2 [448] [Table 13]
[449]
Order of group-wise interleaving 1ri,(1, (18 -Lf: j < 45) Signaling Ngroup FEC Type 7(18) up(19) ir,,(20) 7021) q22) 7-4(13) ry-(24) /(25) 1y.(26) 7(27) ryk28) r(29) T(3O) W1) 7032). 7033) 704) TrA35) q:36) 717) Tri<38) 1(39) T(4O) rr(41) 7(42) T043) *44) L1-Detail 19 ,37 _30 42 23 44 27 40 21 ,34 25 32 29 24 Mode 3 26 35 39 -20 18 43 31 36 38 22 33 28 41 L1-Detail 20 35 42 39 26 23 30 18 28 37 32 ,27 44 43 Mode 4 41 .40 38 36 34 33 31 29 25 _24 22 21 19 Ll-Detall 19 _37 33 ¨26 _40 43 22 29 24 35 -44 _31 27 20 Mode 5 21 39 25 42 34 18 32 38 23 30 28 36 41 1.1 -Detail 20 35 42 39 26 23 ,30 18 28 Mode 6 41 _40 38 36 34 33 31 29 25 24 22 21 19 L1-Detail 44 23 29 33 24 28 21 27 42 18 22 31 32 37 Mode 7 43 30 25 35 20 34 39 36 19 41 40 26 38 [450] Hereinafter, for the group-wise interleaving pattern in the Li -detail mode 2 as an example, an operation of the group-wise interleaver will be described.
[451] In the Li-detail mode 2, the LDPC encoder 315 performs LDPC encoding on 3240 LDPC information bits at a code rate of 3/15 to generate 12960 LDPC parity bits. In this case, an LDPC codeword may be formed of 16200 bits.
[452] Each bit group is formed of 360 bits, and as a result the LDPC
codeword formed of 16200 bits is divided into 45 bit groups.
[453] Here, since the number of the LDPC information bits is 3240 and the number of the LDPC parity bits is 12960, a 0-th bit group to an 8-th bit group correspond to the LDPC information bits and a 9-th bit group to a 44-th bit group correspond to the LDPC parity bits.
[454] In this case, the group-wise interleaver does not perform interleaving on the bit groups configuring the LDPC information bits, that is, a 0-th bit group to a 8-th bit group based on above Equation 26 and Table 12, but may interleave the bit groups configuring the LDPC parity bits, that is, a 9-th bit group to a 44-th bit group in a group unit to change an order of the 9-th bit group to the 44-th bit group.
[455] In detail, in the Li-detail mode 2 in above Table 12, above Equation 26 may be rep-resented like Yo=-X0, YI=Xi, ==== Y7=X7, Y9=X"(9)=X9, Yi0=X.1,(l0)=X3i, (II)=X23, = = = ,Y42=Xnp(42)=-X281 Y43=Xscp(43)=X39, Y44=Xnp(44)=X42.
[456] Therefore, the group-wise interleaver does not change an order of the 0-th bit group to the 8-th bit group including the LDPC information bits but may change an order of the 9-th bit group to the 44-th bit group including the LDPC parity bits.
[457] In detail, the group-wise interleaver may change the order of the bit groups from the 9-th bit group to the 44-th bit group so that the 9-th bit group is positioned at the 9-th position, the 31-th bit group is positioned at the 10-th position, the 23-th bit group is positioned at the 11-th position,..., the 28-th bit group is positioned at the 42-th position, the 39-th bit group is positioned at the 43-th position, the 42-th bit group is positioned at the 44-th position.
[458] As described below, since the puncturers 217 and 318 perform puncturing from the last parity bit, the parity bit groups may be arranged in an inverse order of the puncturing pattern by the parity permutation. That is, the first bit group to be punctured is positioned at the last bit group.
[459] The foregoing example describes that only the parity bits are interleaved, which is only one example. That is, the parity permutators 215 and 316 may also interleave the LDPC information bits. In this case, the parity permutators 215 and 316 may interleave the LDPC information bits with identity and output the LDPC information bits having the same order before the interleaving so that the order of the LDPC
information bits is not changed.
[460] The repeaters 216 and 317 may repeat at least some bits of the parity permutated LDPC codeword at a position subsequent to the LDPC information bits, and output the repeated LDPC codeword, that is, the LDPC codeword bits including the repetition

46 bits, to the puncturers 217 and 318. The repeater 317 may also output the repeated LDPC codeword to the additional parity generator 319. In this case, the additional parity generator 319 may use the repeated LDPC codeword to generate the additional parity bits.
[461] In detail, the repeaters 216 and 317 may repeat a predetermined number of LDPC
parity bits after the LDPC information bits. That is, the repeaters 216 and 317 may add the predetermined number of repeated LDPC parity bits after the LDPC
information bits. Therefore, the repeated LDPC parity bits are positioned between the LDPC
in-formation bits and the LDPC parity bits within the LDPC codeword.
[462] Therefore, since the predetermined number of bits within the LDPC
codeword after the repetition may be repeated and additionally transmitted to the receiver 200, the foregoing operation may be referred to as repetition.
[463] The term "adding" represents disposing the repetition bits between the LDPC in-formation bits and the LDPC parity bits so that the bits are repeated.
[464] The repetition may be performed only on the Li-basic mode 1 and the Li-detail mode 1, and may not be performed on the other modes. In this case, the repeaters 216 and 317 do not perform the repetition and may output the parity permutated LDPC
codeword to the puncturers 217 and 318.
[465] Hereinafter, a method for performing repetition will be described in more detail.
[466] The repeaters 216 and 317 may calculate a number Nõõeõ, of bits additionally transmitted per an LDPC codeword based on following Equation 27.
[467] .... (27) N repeat = 2 X LC X N outed D
[468] In above Equation 27, C has a fixed number and D may be an even integer. Referring to above Equation 27, it may be appreciated that the number of bits to be repeated may be calculated by multiplying C by a given I=1õõter and adding D thereto.
[469] The parameters C and D for the repetition may be selected based on following Table 14. That is, the repeaters 216 and 317 may determine the C and D based on a corre-sponding mode as shown in following Table 14.
[470] [Table 14]
[471]
NIdpc_parity Nouier Ksig Kldpc C
7imoD
(m Ninner- Kldpc) L1-Basic Mode 1 368 200 3240 0 3672 12960 2 L1-Detail Mode 1 568 - 2520 400 - 2352 3240 61/16 -508 12960 2 [472] Further, the repeaters 216 and 317 may repeat Nrepeat LDPC parity bits.
[473] In detail, when Isliepeat Nidpc_paii,y, the repeaters 216 and 317 may add first N1 bits bits of the parity permutated LDPC parity bits to the LDPC information bits as illustrated in FIG. 12. That is, the repeaters 216 and 317 may add a first LDPC parity bit among

47 the parity permutated LDPC parity bits as an Nrepeat-th LDPC parity bit after the LDPC
information bits.
[474] When Nrepea> NIdpc_parity, the repeaters 216 and 317 may add the parity permutated N
idpc_pafity WPC parity bits to the LDPC information bits as illustrated in FIG. 15, and may additionally add an Nõ,.-Nkipc it), number of the parity permutated LDPC
parity bits to the Nid, LDPC parity bits which are first added. That is, the repeaters 216 and 317 may add all the parity permutated LDPC parity bits after the LDPC in-formation bits and additionally add the first LDPC parity bit to the Nrepeal-Nidpe_parity-th LDPC parity bit among the parity permutated LDPC parity bits after the LDPC
parity bits which are first added.
[475] Therefore, in the Li-basic mode 1 and the Li-detail mode 1, the additional Nrepeat bits may be selected within the LDPC codeword and transmitted.
[476] The puncturers 217 and 318 may puncture some of the LDPC parity bits included in the LDPC codeword output from the repeaters 216 and 317, and output a punctured LDPC codeword (that is, the remaining LDPC codeword bits other than the punctured bits and also referred to as an LDPC codeword after puncturing) to the zero removers 218 and 321. Further, the puncturcr 318 may provide information (for example, the number and positions of punctured bits, etc.) about the punctured LDPC parity bits to the additional parity generator 319. In this case, the additional parity generator 319 may generate additional parity bits based thereon.
[477] As a result, after going through the parity permutation, some LDPC
parity bits may be punctured.
[478] In this case, the punctured LDPC parity bits are not transmitted in a frame in which Li signaling bits are transmitted. In detail, the punctured LDPC parity bits are not transmitted in a current frame in which the Li-signaling bits are transmitted, and in some cases, the punctured LDPC parity bits may be transmitted in a frame before the current frame, which will be described with reference to the additional parity generator 319.
[479] For this purpose, the puncturers 217 and 318 may determine the number of LDPC
parity bits to be punctured per LDPC codeword and a size of one coded block.
[480] In detail, the puncturers 217 and 318 may calculate a temporary number NpURCJemp of LDPC parity bits to be punctured based on following Equation 28. That is, for a given Nouter, the puncturers 217 and 318 may calculate the temporary number Npunc_temp of LDPC parity bits to be punctured based on following Equation 28.
[481] .... (28) N punciemp =LA X (Kldpc N outer)] B
[482] Referring to above Equation 28, the temporary size of bits to be punctured may be

48 calculated by adding a constant integer B to an integer obtained from a result of mul-tiplying a shortening length (that is, Kld,-Nouter) by a preset constant A
value. In the present exemplary embodiment, it is apparent that the constant A value is set at a ratio of the number of bits to be punctured to the number of bits to be shortened but may be variously set according to requirements of a system.
[483] The B value is a value which represents a length of bits to be punctured even when the shortening length is 0, and thus, represents a minimum length that the punctured bits can have. Further, the A and B values serve to adjust an actually transmitted code rate. That is, to prepare for a case in which the length of information bits, that is, the length of the Li signaling is short or a case in which the length of the Li signaling is long, the A and B values serve to adjust the actually transmitted code rate to be reduced.
[484] The above Kidpel A and B are listed in following Table 15 which shows parameters for puncturing. Therefore, the puncturers 217 and 318 may determine the parameters for puncturing according to a corresponding mode as shown in following Table 15.
[485] [Table 15]
[486] Signaling FEC Type Neuter K/dpc A
B NI.J.p1ftynm OD
Mode 1 9360 2 Mode 2 11460 2 Mode 3 12360 2 Li-Basic Mode 4 368 0 12292 4 Mode 5 3240 12350 12960 6 Mode 6 12432 Mode 7 12776 Model 568 - 2520 7/2 0 2 Mode 2 568 - 3240 2 6036 2 Mode 3 11/16 4653 2 Li-Detail Mode 4 29/32 3200 4 Mode 5 568 - 6480 6480 3/4 4284 9720 6 Mode 6 11/16 4900 Mode 7 49/256 8246 B
[487] The puncturers 217 and 318 may calculate a temporary size NFEc temp of one coded block as shown in following Equation 29. Here, the number N1dpe_pari1), of LDPC parity bits according to a corresponding mode is shown as above Table 15.
[488] NFEC_temp=Nouter+Nldpc_parity-Npunc_temp ==== (29) [489] Further, the puncturers 217 and 318 may calculate a size NFEc of one coded block as shown in following Equation 30.
[490] (30) NFEC _temp 1 NFEC= ____ X rt MOD
rt MOD
[491] In above Equation 30, imoD is a modulation order. For example, when the Li-basic signaling and the Li-detail signaling are modulated by QPSK, 16-QAM, 64-QAM or

49 256-QAM according to a corresponding mode, imoD may be 2,4, 6 and 8 as shown in above Table 15. According to above Equation 30, the NFEC may be an integer multiple of the modulation order.
[492] Further, the puncturers 217 and 318 may calculate the number Npunc of LDPC parity bits to be punctured based on following Equation 31.
[493] Npunc=Npunc temp-(NFEC-NFEC temp) ==.. (31) [494] Here, s i N 0 or a positive integer. Further, NFEC is the number of bits of an _ in-formation block which are obtained by subtracting Npunc bits to be punctured from Now.
+Nidpe_panty bits obtained by performing the BCH encoding and the LDPC
encoding on lc, information bits. That is, NFEC is the number of bits other than the repetition bits among the actually transmitted bits, and may be called the number of shortened and punctured LDPC codeword bits.
[495] Referring to the foregoing process, the puncturers 217 and 318 multiplies A by the number of padded zero bits, that is, a shortening length and adding B to a result to calculate the temporary number Npww_temi, of LDPC parity bits to be punctured.
[496] Further, the puncturers 217 and 318 calculate the temporary number NFEC_ternp of LDPC codeword bits to constitute the LDPC codeword after puncturing and shortening based on the Npunc_temp=
[497] In detail, the LDPC information bits are LDPC-encoded, and the LDPC
parity bits generated by the LDPC encoding are added to the LDPC information bits to configure the LDPC codeword. Here, the LDPC information bits include the BCH-encoded bits in which the Li-basic signaling and the Li-detail signaling are BCH encoded, and in some cases, may further include padded zero bits.
[498] In this case, since the padded zero bits are LDPC-encoded, and then, are not transmitted to the receiver 200, the shortened LDPC codeword, that is, the LDPC
codeword (that is, shortened LDPC codeword) except the padded zero bits may be formed of the BCH-encoded bits and LDPC parity bits.
[499] Therefore, the puncturers 217 and 318 subtract the temporary number of LDPC
parity bits to be punctured from a sum of the number of BCH-encoded bits and the number of LDPC parity bits to calculate the NEF.c_temp=
[500] The punctured and shortened LDPC codeword (that is, LDPC codeword bits remaining after puncturing and shortening) are mapped to constellation symbols by various modulation schemes such as QPSK, 16-QAM, 64-QAM or 256-QAM
according to a corresponding mode, and the constellation symbols may be transmitted to the receiver 200 through a frame.
[501] Therefore, the puncturers 217 and 318 determine the number NFEC of LDPC
codeword bits to constitute the LDPC codeword after puncturing and shortening based on NFEC_teinp, NFEC being an integer multiple of the modulation order, and determine the

50 number Npuõ, of bits which need to be punctured based on LDPC codeword bits after shortening to obtain the Nrge.
[502] When zero bits are not padded, an LDPC codeword may be formed of BCH-encoded bits and LDPC parity bits, and the shortening may be omitted.
[503] Further, in the Li-basic mode 1 and the Li -detail mode 1, repetition is performed, and thus, the number of shortened and punctured LDPC codeword bits is equal to NFEc Nrepeat=
[504] The puncturers 217 and 318 may puncture the LDPC parity bits as many as the calculated number.
[505] In this case, the puncturers 217 and 318 may puncture the last Npunc bits of all the LDPC codewords. That is, the puncturers 217 and 318 may puncture the Npune bits from the last LDPC parity bits.
[506] In detail, when the repetition is not performed, the parity permutated LDPC
codeword includes only LDPC parity bits generated by the LDPC encoding.
[507] In this case, the puncturers 217 and 318 may puncture the last Npõne bits of all the parity permutated LDPC codewords. Therefore, the Npunc bits from the last LDPC

parity bits among the LDPC parity bits generated by the LDPC encoding may be punctured.
[508] When the repetition is performed, the parity permutated and repeated LDPC
codeword includes the repeated LDPC parity bits and the LDPC parity bits generated by the LDPC encoding.
[509] In this case, the puncturers 217 and 318 may puncture the last Npunc bits of all the parity permutated and repeated LDPC codewords, respectively, as illustrated in FIGs.
14 and 15.
[510] In detail, the repeated LDPC parity bits are positioned between the LDPC in-formation bits and the LDPC parity bits generated by the LDPC encoding, and thus, the puncturers 217 and 318 may puncture the NpUrle bits from the last LDPC
parity bits among the LDPC parity bits generated by the LDPC encoding, respectively.
[511] As such, the puncturers 217 and 318 may puncture the Npunc bits from the last LDPC
parity bits, respectively.
[512] Npune is 0 or a positive integer and the repetition may be applied only to the Li-basic mode 1 and the Li-detail mode 1.
[513] The foregoing example describes that the repetition is performed, and then, the puncturing is performed, which is only one example. In some cases, after the puncturing is performed, the repetition may be performed.
[514] The additional parity generator 319 may select bits from the LDPC
parity bits to generate additional parity (AP) bits.
[515] In this case, the additional parity bits may be selected from the LDPC parity bits

51 generated based on the Li-detail signaling transmitted in a current frame, and transmitted to the receiver 200 through a frame before the current frame, that is, a previous frame.
[516] In detail, the Li-detail signaling is LDPC-encoded, and the LDPC
parity bits generated by the LDPC encoding are added to the Li-detail signaling to configure an LDPC codeword.
[517] Further, puncturing and shortening are performed on the LDPC
codeword, and the punctured and shortened LDPC codeword may be mapped to a frame to be transmitted to the receiver 200. Here, when the repetition is performed according to a corre-sponding mode, the punctured and shortened LDPC codeword may include the repeated LDPC parity bits.
[518] In this case, the Li-detail signaling corresponding to each frame may be transmitted to the receiver 200 through each frame, along with the LDPC parity bits. For example, the punctured and shortened LDPC codeword including the Li-detail signaling corre-sponding to an (i-1)-th frame may be mapped to the (i-1)-th frame to be transmitted to the receiver 200, and the punctured and shortened LDPC codeword including the L1-detail signaling corresponding to the i-th frame may be mapped to the i-th frame to be transmitted to the receiver 200.
[519] The additional parity generator 319 may select at least some of the LDPC parity bits generated based on the Li-detail signaling transmitted in the i-th frame to generate the additional parity bits.
[520] In detail, some of the LDPC parity bits generated by performing the LDPC encoding on the Li-detail signaling are punctured, and then, are not transmitted to the receiver 200. In this case, the additional parity generator 319 may select at least some of the punctured LDPC parity bits among the LDPC parity bits generated by performing the LDPC encoding on the Li-detail signaling transmitted in the i-th frame, thereby generating the additional parity bits.
[521] Further, the additional parity generator 319 may select at least some of the LDPC
parity bits to be transmitted to the receiver 200 through the i-th frame to generate the additional parity bits.
[522] In detail, the LDPC parity bits included in the punctured and shortened LDPC
codeword to be mapped to the i-th frame may be configured of only the LDPC
parity bits generated by the LDPC encoding according to a corresponding mode or the LDPC
parity bits generated by the LDPC encoding and the repeated LDPC parity bits.
[523] In this case, the additional parity generator 319 may select at least some of the LDPC
parity bits included in the punctured and shortened LDPC codeword to be mapped to the i-th frame to generate the additional parity bits.
[524] The additional parity bits may be transmitted to the receiver 200 through the frame

52 before the i-th frame, that is, the (i-1)-th frame.
[525] That is, the transmitter 100 may not only transmit the punctured and shortened LDPC
codeword including the Li-detail signaling corresponding to the (i-1)-th frame but also transmit the additional parity bits generated based on the Li -detail signaling transmitted in the i-th frame to the receiver 200 through the (i-1)-th frame.
[526] In this case, the frame in which the additional parity bits are transmitted may be temporally the most previous frame among the frames before the current frame.
[527] For example, the additional parity bits have the same bootstrap major/minor version as the current frame among the frames before the current frame, and may be transmitted in temporally the most previous frame.
[528] In some cases, the additional parity generator 319 may not generate the additional parity bits.
[529] In this case, the transmitter 100 may transmit information about whether additional parity bits for an Li-detail signaling of a next frame are transmitted through the current frame to the receiver 200 using an Li-basic signaling transmitted through the current frame.
[530] For example, the use of the additional parity bits for the Li-detail signaling of the next frame having the same bootstrap major/minor version as the current frame may be signaled through a field L1B_Ll_Detail_additional_parity_mode of the Li-basic parameter of the current frame. In detail, when the L1B_Ll_Detail_additional_parity_mode in the Li-basic parameter of the current frame is set to be '00', additional parity bits for the Li -detail signaling of the next frame are not transmitted in the current frame.
[531] As such, to additionally increase robustness of the Li-detail signaling, the additional parity bits may be transmitted in the frame before the current frame in which the Li-detail signaling of the current frame is transmitted.
[532] FIG. 16 illustrates an example in which the additional parity bits for the Li-detail signaling of the i-th frame are transmitted in a preamble of the (i-1)-th frame.
[533] FIG. 16 illustrates that the Li-detail signaling transmitted through the i-th frame is segmented into M blocks by segmentation and each of the segmented blocks is FEC
encoded.
[534] Therefore, M number of LDPC codewords, that is, an LDPC codeword including LDPC information bits L1-D(i)_1 and parity bits parity for L1-D(i)_1 therefor,..., and an LDPC codeword including LDPC information bits Li-D(i)_M and parity bits parity for L1-D(i)_M therefor are mapped to the i-th frame to be transmitted to the receiver 200.
[535] In this case, the additional parity bits generated based on the Li-detail signaling transmitted in the i-th frame may be transmitted to the receiver 200 through the (i-1)-th

53 frame.
[536] In detail, the additional parity bits, that is, AP for L1-D(i)_1,...AP for Ll-D(O_M
generated based on the Li-detail signaling transmitted in the i-th frame may be mapped to the preamble of the (i-1)-th frame to be transmitted to the receiver 200. As a result of using the additional parity bits, a diversity gain for the Li signaling may be obtained.
[537] Hereinafter, a method for generating additional parity bits will be described in detail.
[538] The additional parity generator 319 calculates a temporary number NAp _temp of ad-ditional parity bits based on following Equation 32.
[539]
. 0.5 X K X (N outer + N Idpc_parity N punc + N
repeat), "AP temp = min , K=0,1,2 (Nidpc_parity N punc N repeat) (32) [540] In above Equation 32, a,if a b min(a,b) =
b,if b < a [541] Further, K represents a ratio of the additional parity bits to a half of a total number of bits of a transmitted coded Li-detail signaling block (that is, bits configuring the Li-detail signaling block repeated, punctured, and have the zero bits removed (that is, shortened)).
[542] In this case, K corresponds to an L1B_Ll_Detail_additional_parity_mode field of the Li-basic signaling. Here, a value of the L1B_Ll_Detail_additional_parity_mode associated with the Li-detail signaling of the i-th frame (that is, frame (#i)) may be transmitted in the (i-1)-th frame (that is, frame (#i-1)).
[543] As described above, when Li detail modes are 2, 3, 4, 5, 6 and 7, since repetition is not performed, in above Equation 32, Nat is 0.
[544] Further, the additional parity generator 319 calculates the number N"
of additional parity bits based on following Equation 33. Therefore, the number NAp of additional parity bits may be an integer multiple of a modulation order.
[545] .... (33) NAP temp NIAF, _ = X n. MOD
- ri MOD -[546] Here, is a maximum integer which is not greater than x. Here, Timor, is the LxJ
modulation order. For example, when the Li-detail signaling is modulated by QPSK,

54 16-QAM, 64-QAM or 256-QAM according to a corresponding mode, the rimoD may be 2, 4, 6 or 8.
[547] As such, the number of additional parity bits to be generated may be determined based on the total number of bits transmitted in the current frame.
[548] Next, the additional parity generator 319 may select bits as many as the number of bits calculated in the LDPC parity bits to generate the additional parity bits.
[549] In detail, when the number of punctured LDPC parity bits is equal to or greater than the number of additional parity bits to be generated, the additional parity generator 319 may select bits as many as the calculated number from the first LDPC parity bit among the punctured LDPC parity bits to generate the additional parity bits.
[550] When the number of punctured LDPC parity bits is less than the number of ad-ditional parity bits to be generated, the additional parity generator 319 may first select all the punctured LDPC parity bits and additionally select bits as many as the number obtained by subtracting the number of punctured LDPC parity bits from the number of additional parity bits to be generated, from the first LDPC parity bit among the LDPC
parity bits included in the LDPC codeword to generate the additional parity bits.
[551] In detail, when the repetition is not performed, LDPC parity bits included in a repeated LDPC codeword are the LDPC parity bits generated by the LDPC
encoding.
[552] In this case, the additional parity generator 319 may first select all the punctured LDPC parity bits and additionally select bits as many as the number obtained by sub-tracting the number of punctured LDPC parity bits from the number of additional parity bits to be generated, from the first LDPC parity bit among the LDPC
parity bits generated by the LDPC encoding, to generate the additional parity bits.
1553] Here, the LDPC parity bits generated by the LDPC encoding are divided into the non-punctured LDPC parity bits and the punctured LDPC parity bits. As a result, when bits are selected from the first bit among the LDPC parity bits generated by the LDPC
encoding, they may be selected in an order of the non-punctured LDPC parity bits and the punctured LDPC parity bits.
[554] When the repetition is performed, the LDPC parity bits included in the repeated LDPC codeword are the repeated LDPC parity bits and the LDPC parity bits generated by the LDPC encoding. Here, the repeated LDPC parity bits are positioned between the LDPC information bits and the LDPC parity bits generated by the LDPC
encoding.
[555] In this case, the additional parity generator 319 may first select all the punctured LDPC parity bits and additionally select the bits as many as the number obtained by subtracting the number of punctured LDPC parity bits from the number of additional bits , from the first LDPC parity bit among the repeated LDPC parity bits to generate the additional parity bits.
[556] Here, when the bits are selected from the first bit among the repeated LDPC parity

55 bits, they may be selected in an order of the repetition bits and the LDPC
parity bits generated by the LDPC encoding. Further, the bits may be selected in an order of the non-punctured LDPC parity bits and the punctured LDPC parity bits, within the LDPC
parity bits generated by the LDPC encoding.
[557] Hereinafter, methods for generating additional parity bits according to exemplary embodiments will be described in more detail with reference to FIGs. 17 to 19.
[558] FIGs. 17 to 19 are diagrams for describing the methods for generating additional parity bits when repetition is performed, according to the exemplary embodiments. In this case, a repeated LDPC codeword V = (vo, v1, ..., v N _1) may be rep-resented as illustrated in FIG. 17.
[559] First, when NAp < Npunc, as illustrated in FIG. 18, the additional parity generator 319 may select NAp bits from the first LDPC parity bit among punctured LDPC parity bits to generate the additional parity bits.
[560] Therefore, for the additional parity bits, the punctured LDPC parity bits ( ) V N + N N VN +N -N +1' = =
V N N N + N AF-1 may be selected.
That is, the additional parity generator 319 may select the NAp bits from the first bit among the punctured LDPC parity bits to generate the additional parity bits.
[561] When NAp > N as illustrated in FIG. 19, the additional parity generator 319 selects all the punctured LDPC parity bits.
[562] Therefore, for the additional parity bits, all the punctured LDPC
parity bits ( ) may be selected.
V N +N -N 9 V N +N -N +1"." V N +N -1 'vast ham pole roped hIlIO pine niped Inner [563] Further, the additional parity generator 319 may additionally select first NAp-Npuõ, bits from the LDPC parity bits including the repeated LDPC parity bits and the LDPC

parity bits generated by the LDPC encoding.
[564] That is, since the repeated LDPC parity bits and the LDPC parity bits generated by the LDPC encoding are sequentially arranged, the additional parity generator 319 may additionally select the NAp-N parity bits from the first LDPC parity bit among the punc repeated LDPC parity bits.
[565]
Therefore, for the additional parity bits, the LDPC parity bits ( v , K xko,-may be additionally selected.
V Kw+ NAP- N -i) [566] In this case, the additional parity generator 319 may add the additionally selected bits to the previously selected bits to generate the additional parity bits. That is, as il-lustrated in FIG. 19, the additional parity generator 319 may add the additionally selected LDPC parity bits to the punctured LDPC parity bits to generate the additional parity bits.

56 [567] As a result, for the additional parity bits, ( v N + N V N
N N õ..+19 + N w _1, K,' v K +1, v K + NAP p ..1) may be selected.
toe idAe ine [568] As such, when the number of punctured bits is equal to or greater than the number of additional parity bits, the additional parity bits may be generated by selecting bits among the punctured bits based on the puncturing order. However, in other cases, the additional parity bits may be generated by selecting all the punctured bits and the ISTAp -Npu,K parity bits.
[569] Since Nõpeat=0 when repetition is not performed, the method for generating additional parity bits when the repetition is not performed is the same as the case in which Nrepeat =0 in FIGs. 17 to 19.
[570] The additional parity bits may be bit-interleaved, and may be mapped to con-stellation. In this case, the constellation for the additional parity bits may be generated by the same method as constellation for the Li-detail signaling bits transmitted in the current frame, in which the Li-detail signaling bits are repeated, punctured, and have the zero bits removed. Further, as illustrated in FIG. 18, after being mapped to the con-stellation, the additional parity bits may be added after the Li-detail signaling block in a frame before the current frame in which the Li-detail signaling of the curient frame is transmitted.
[571] The additional parity generator 319 may output the additional parity bits to a bit de-multiplexer 323.
[572] As described above in reference to Tables 12 and 13, the group-wise interleaving pattern defining the permutation order may have two patterns: a first pattern and a second pattern.
[573] In detail, since the B value of above Equation 26 represents the minimum length of the LDPC parity bits to be punctured, the predetermined number of bits may be always punctured depending on the B value regardless of the length of the input signaling. For example, in the Li-detail mode 2, since B=6036 and the bit group is formed of bits, even when the shortening length is 0, at least 6036 bit groups are always L 360 I = 16 punctured.
[574] In this case, since the puncturing is performed from the last LDPC
parity bit, the pre-determined number of bit groups from a last bit group among the plurality of bit groups configuring the group-wise interleaved LDPC parity bits may be always punctured regardless of the shortening length.
[575] For example, in the Li-detail mode 2, the last 16 bit groups among 36 bit groups configuring the group-wise interleaved LDPC parity bits may be always punctured.

57 [576] As a result, some of the group-wise interleaving patterns defining the permutation order represent bit groups always to punctured, and therefore, the group-wise in-terleaving pattern may be divided into two patterns. In detail, a pattern defining the remaining bit groups other than the bit groups to be always punctured in the group-wise interleaving pattern is referred to as the first pattern, and the pattern defining the bit groups to be always punctured is referred to as the second pattern.
[577] For example, in the Li-detail mode 2, since the group-wise interleaving pattern is defined as above Table 12, a pattern representing indexes of bit groups which are not group-wise interleaved and positioned in a 9-th bit group to a 28-th bit group after group-wise interleaving, that is, Y9=Xõp(9)=X9, Yi0=X"(10)=X3i, Y11=X2Lixii)=X23, ¨, Y26 =X"(26)=X17, Y27=Xnp(27)=X357 Y28=Xx7p(28)=X21 may be the first pattern, and a pattern rep-resenting indexes of bit groups which are not group-wise interleaved and positioned in a 29-th bit group to a 44-th bit group after group-wise interleaving, that is, Y29=Xnp(29) =X20, Y30=Xnp(30)=X24, Y31=Xn-p(31)=X44, = = =, Y42=XEp(42)=X287 Y43=X5p(43)=X39, Y44=Xnp(44) =X42 may be the second pattern.
[578] As described above, the second pattern defines bit groups to be always punctured in a current frame regardless of the shortening length, and the first pattern defines bit groups additionally to be punctured as the shortening length is long, such that the first pattern may be used to determine the LDPC parity bits to be transmitted in the current frame after the puncturing.
[579] In detail, according to the number of LDPC parity bits to be punctured, in addition to the LDPC parity bits to be always punctured, more LDPC parity bits may additionally be punctured.
[580] For example, in the Li-detail mode 2, when the number of LDPC parity bits to be punctured is 7200, 20 bit groups need to be punctured, and thus, four (4) bit groups need to be additionally punctured, in addition to the 16 bit groups to be always punctured.
[581] In this case, the additionally punctured four (4) bit groups correspond to the bit groups positioned at 25-th to 28-th positions after group-wise interleaving, and since these bit groups are determined according to the first pattern, that is, belong to the first pattern, the first pattern may be used to determine the punctured bit groups.
[582] That is, when LDPC parity bits are punctured more than a minimum value of LDPC
parity bits to be punctured, which bit groups are to be additionally punctured is de-termined according to which bit groups are positioned after the bit groups to be always punctured. As a result, according to a puncturing direction, the first pattern which defines the bit groups positioned after the bit groups to be always punctured may be considered as determining the punctured bit groups.
[583] That is, as in the foregoing example, when the number of LDPC parity bits to be

58 punctured is 7200, in addition to the 16 bit groups to be always punctured, four (4) bit groups, that is, the bit groups positioned at 28-th, 27-th, 26-th, and 25-th positions, after group-wise interleaving is performed, are additionally punctured. Here, the bit groups positioned at 25-th to 28-th positions after the group-wise interleaving are de-termined according to the first pattern.
[584] As a result, the first pattern may be considered as being used to deteimine the bit groups to be punctured. Further, the remaining LDPC parity bits other than the punctured LDPC parity bits are transmitted through the current frame, and therefore, the first pattern may be considered as being used to determine the bit groups transmitted in the current frame.
[585] The second pattern may be used to determine the additional parity bits to be transmitted in the previous frame.
[586] In detail, since the bit groups determined to be always punctured are always punctured, and then, are not transmitted in the current frame, these bit groups need to be positioned only where bits are always punctured after group-wise interleaving.
Therefore, it is not important at which position of these bit groups are positioned after the group-wise interleaving.
[587] For example, in the Li-detail mode 2, bit groups positioned at 20-th, 24-th, 44-th, ..., 28-th, 39-th and 42-th positions before the group-wise interleaving need to be po-sitioned only at a 29-th bit group to a 44-th bit group after the group-wise interleaving.
Therefore, it is not important at which positions of these bit groups are positioned.
[588] As such, the second pattern defining bit groups to be always punctured is used to identify bit groups to be punctured. Therefore, defining an order between the bit groups in the second pattern is meaningless in the puncturing, and thus, the second pattern defining bit groups to be always punctured may be considered as not being used for the puncturing.
[589] However, for determining additional parity bits, positions of the bit groups to be always punctured within these bit groups need to be considered.
[590] In detail, since the additional parity bits are generated by selecting bits as many as a predetermined number from the first bit among the punctured LDPC parity bits, bits included in at least some of the bit groups to be always punctured may be selected as at least some of the additional parity bits depending on the number of punctured LDPC
parity bits and the number of additional parity bits to be generated.
[591] That is, when additional parity bits are selected over the number of bit groups defined according to the first pattern, since the additional parity bits are sequentially selected from a start portion of the second pattern, the order of the bit groups belonging to the second pattern is meaningful in terms of selection of the additional parity bits.
As a result, the second pattern defining bit groups to be always punctured may be

59 considered as being used to determine the additional parity bits.
[592] For example, in the Li-detail mode 2, the total number of LDPC parity bits is 12960 and the number of bit groups to be always punctured is 16.
[593] In this case, the second pattern may be used to generate the additional parity bits depending on whether a value obtained by subtracting the number of LDPC parity bits to be punctured from the number of all LDPC parity bits and adding the subtraction result to the number of additional parity bits to be generated exceeds 7200.
Here, 7200 is the number of LDPC parity bits except the bit groups to be always punctured, among the bit groups configuring the LDPC parity bits. That is, 7200=(36-16)x360.
[594] In detail, when the value obtained by the above subtraction and addition is equal to or less than 7200, that is, 12960-Np00e+NAp < 7200, the additional parity bits may be generated according to the first pattern.
[595] However, when the value obtained by the above subtraction and addition exceeds 7200, that is, 12960-Np08+NAp> 7200, the additional parity bits may be generated according to the first pattern and the second pattern.
[596] In detail, when 12960-Np +NAp> 7200, for the additional parity bits, bits included in the bit group positioned at a 28-th position from the first LDPC parity bit among the punctured LDPC parity bits may be selected, and bits included in the bit group po-sitioned at a predetermined position from a 29-th position may be selected.
[597] Here, the bit group to which the first LDPC parity bit among the punctured LDPC
parity bits belongs and the bit group (that is, when being sequentially selected from the first LDPC parity bit among the punctured LDPC parity bits, a bit group to which the finally selected LDPC parity bits belong) at the predetermined position may be de-termined depending on the number of punctured LDPC parity bits and the number of additional parity bits to be generated.
[598] In this case, the bit group positioned at the 28-th position from the firth LDPC parity bit among the punctured LDPC parity bits is determined according to the first pattern, and the bit group positioned at the predetermined position from the 29-th position is determined according to the second pattern.
[599] As a result, the additional parity bits are determined according to the first pattern and the second pattern.
[600] As such, the first pattern may be used to determine additional parity bits to be generated as well as LDPC parity bits to be punctured, and the second pattern may be used to detei __ mine the additional parity bits to be generated and LDPC
parity bits to be always punctured regardless of the number of parity bits to be punctured by the punctizers 217 and 318.
[601] The foregoing example describes that the group-wise interleaving pattern includes the first pattern and the second pattern, which is only for convenience of explanation in

60 terms of the puncturing and the additional parity. That is, the group-wise interleaving pattern may be considered as one pattern without being divided into the first pattern and the second pattern. In this case, the group-wise interleaving may be considered as being performed with one pattern both for the puncturing and the additional parity.
[602] The values used in the foregoing example such as the number of punctured LDPC
parity bits are only example values.
[603] The zero removers 218 and 321 may remove zero bits padded by the zero padders 213 and 314 from the LDPC codewords output from the puncturers 217 and 318, and output the remaining bits to the bit demultiplexers 219 and 322.
[604] Here, the removal does not only remove the padded zero bits but also may include outputting the remaining bits other than the padded zero bits in the LDPC
codewords.
[605] In detail, the zero removers 218 and 321 may remove Kidpc-Nouter zero bits padded by the zero padders 213 and 314. Therefore, the Kidpc-Nõ,,,, padded zero bits are removed, and thus, may not be transmitted to the receiver 200.
[606] For example, as illustrated in FIG. 20, it is assumed that all bits of a first bit group, a fourth bit group, a fifth bit group, a seventh bit group, and an eighth bit group among a plurality of bit groups configuring an LDPC codcword are padded by zero bits, and some bits of the second bit group are padded by zero bits.
[607] In this case, the zero removers 218 and 321 may remove the zero bits padded to the first bit group, the second bit group, the fourth bit group, the fifth bit group, the seventh bit group, and the eighth bit group.
[608] As such, when zero bits are removed, as illustrated in FIG. 20, an LDPC codeword formed of Ksig information bits (that is, Icis Ll-basic signaling bits and Ksig Li -detail signaling bits), 168 BCH parity check bits (that is, BCH FEC), and Nr-Kidpc-Npune or Ninner-Kidpc-Npuric+Nrepeat Parity bits may remain.
[609] That is, when repetition is performed, the lengths of all the LDPC
codewords become NFEci-Nrepeat= Here, NFEC = Nouter+Nidpc_parity-Npunc. However, in a mode in which the repetition is not performed, the lengths of all the LDPC codewords become NFEC.
[610] The bit demultiplexers 219 and 322 may interleave the bits output from the zero removers 218 and 321, demultiplex the interleaved bits, and then output them to the constellation mappers 221 and 324.
[611] For this purpose, the bit demultiplexers 219 and 322 may include a block interleaver (not illustrated) and a demultiplexer (not illustrated).
[612] First, a block interleaving scheme performed in the block interleaver is illustrated in HG. 21.
[613] In detail, the bits of the NFEC or NFEc+Nrepe, length after the zero bits are removed may be column-wisely serially written in the block interleaver. Here, the number of columns of the block interleaver is equivalent to the modulation order and the number

61 of rows is NFEchlmoD or (NFEc+Nrepeat)/rlmoo=
[614] Further, in a read operation, bits for one constellation symbol may be sequentially read in a row direction to be input to the demultiplexer. The operation may be continued to the last row of the column.
[615] That is, the NFEC Or (NEEC+Nrepeat) bits may be written in a plurality of columns in a column direction from the first row of the first column, and the bits written in the plurality of columns are sequentially read from the first row to the last row of the plurality of columns in a row direction. In this case, the bits read in the same row may configure one modulation symbol.
[616] The demultiplexer may demultiplex the bits output from the block interleaver.
[617] In detail, the demultiplexer may demultiplex each of the block-interleaved bit groups, that is, the bits output while being read in the same row of the block interleaver within the bit group bit-by-bit, before the bits are mapped to constellation.
[618] In this case, two mapping rules may be present according to the modulation order.
[619] In detail, when QPSK is used for modulation, since reliability of bits within a con-stellation symbol is the same, the demultiplexer does not perform the demultiplexing operation on a bit group. Therefore, the bit group read and output from the block in-terleaver may be mapped to a QPSK symbol without the demultiplexing operation.
[620] However, when high order modulation is used, the demultiplexer may perform de-multiplexing on a bit group read and output from the block interleaver based on following Equation 34. That is, a bit group may be mapped to a QAM symbol depending on following Equation 34.
[621]
Sdemux_in(i) ={bi (0),b; (1),b (2),...,b; (1'1 marl )1, Sdemux_out(i) ={C1 (0),C1 (1),Ci C (0)=1Di ron.MOD),Ci (1,1=bi ((i+1)%qMOD),...,Ci knmoD-1)=bi ((i+n. moD-1)%n.
MOO
(34) [622] In above Equation 34, % represents a modulo operation, and imoD is a modulation order.
[623] Further, i is a bit group index corresponding to a row index of the block interleaver.
That is, an output bit group Sdemux_out(i) mapped to each of the QAM symbols may be cyclic-shifted in an Sdemoxjn(i) according to the bit group index i.
[624] FIG. 22 illustrates an example of performing bit demultiplexing on 16-non uniform constellation (16-NUC), that is, NUC 16-QAM. The operation may be continued until all bit groups are read in the block interleaver.
[625] The bit demultiplexer 323 may perform the same operation as the operations performed by the bit demultiplexers 219 and 322, on the additional parity bits output

62 from the additional parity generator 319, and output the block-interleaved and demul-tiplexed bits to the constellation mapper 325.
[626] The constellation mappers 221, 324 and 325 may map the bits output from the bit de-multiplexers 219, 322 and 323 to constellation symbols, respectively.
[627] That is, each of the constellation mappers 221, 324 and 325 may map the Sden.Lpia(i) to a cell word using constellation according to a corresponding mode. Here, the S
der/mu:Rio may be configured of bits having the same number as the modulation order.
[628] In detail, the constellation mappers 221, 324 and 325 may map bits output from the bit demultiplexers 219, 322 and 323 to constellation symbols using QPSK, 16-QAM, 64-QAM, the 256-QAM, etc., according to a corresponding mode.
[629] In this case, the constellation mappers 221, 324 and 325 may use the NUC. That is, the constellation mappers 221, 324 and 325 may use NUC 16-QAM, NUC 64-QAM or NUC 256-QAM. The modulation scheme applied to the Li-basic signaling and the Li-detail signaling according to a corresponding mode is shown in above Table 7.
[630] The transmitter 100 may map the constellation symbols to a frame and transmit the mapped symbols to the receiver 200.
[631] In detail, the transmitter 100 may map the constellation symbols corresponding to each of the Li-basic signaling and the Li-detail signaling output from the constellation mappers 221 and 324, and map the constellation symbols corresponding to the ad-ditional parity bits output from the constellation mapper 325 to a preamble symbol of a frame.
[632] In this case, the transmitter 100 may map the additional parity bits generated based on the Li-detail signaling transmitted in the current frame to a frame before the current frame.
[633] That is, the transmitter 100 may map the LDPC codeword bits including the Li-basic signaling corresponding to the (i-1)-th frame to the (i-1)-th frame, maps the LDPC
codeword bits including the Li-detail signaling corresponding to the (i-1)-th frame to the (i-1)-th frame, and additionally map the additional parity bits generated selected from the LDPC parity bits generated based on the Li-detail signaling corresponding to the i-th frame to the (i-1)-th frame and may transmit the mapped bits to the receiver 200.
[634] In addition, the transmitter 100 may map data to the data symbols of the frame in addition to the Li signaling and transmit the frame including the Li signaling and the data to the receiver 200.
[635] In this case, since the Li signalings include signaling information about the data, the signaling about the data mapped to each data may be mapped to a preamble of a corre-sponding frame. For example, the transmitter 100 may map the Li signaling including the signaling information about the data mapped to the i-th frame to the i-th frame.

63 [636] As a result, the receiver 200 may use the signaling obtained from the frame to receive the data from the corresponding frame for processing.
[637] FIGs. 23 and 24 are block diagrams for describing a configuration of a receiver according to an exemplary embodiment.
[638] In detail, as illustrated in FIG. 23, the receiver 200 may include a constellation demapper 2310, a multiplexer 2320, a Log Likelihood Ratio (LLR) 2330, an LLR
combiner 2340, a parity depermutator 2350, an LDPC decoder 2360, a zero remover 2370, a BCH decoder 2380, and a descrambler 2390 to process the Li-basic signaling.
[639] Further, as illustrated in FIG. 24, the receiver 200 may include constellation demappers 2411 and 2412, multiplexers 2421 and 2422, an LLR inserter 2430, an LLR
combiner 2440, a parity deperrnutator 2450, an LDPC decoder 2460, a zero remover 2470, a BCH decoder 2480, a descrambler 2490, and a desegmenter 2495 to process the Li-detail signaling.
[640] Here, the components illustrated in FIGs. 23 and 24 perform functions corresponding to the functions of the components illustrated in FIGs. 7 and 8, respectively, which is only an example, and in some cases, some of the components may be omitted and changed and other components may be added.
[641] The receiver 200 may acquire frame synchronization using a bootstrap of a frame and receive Li -basic signaling from a preamble of the frame using information for processing the Ll-basic signaling included in the bootstrap.
[642] Further, the receiver 200 may receive Li-detail signaling from the preamble using in-formation for processing the Li-detail signaling included in the Li-basic signaling, and receive broadcasting data required by a user from data symbols of the frame using the Li -detail signaling.
[643] In this case, the receiver 200 may acquire information on whether the transmitter 100 processes the Li-basic signaling based on any mode from the bootstrap and acquire in-formation on whether the transmitter 100 processes the Li-detail signaling based on any mode from the Li-basic signaling.
[644] Therefore, the receiver 200 may determine a mode used at the transmitter 100 to process the Li-basic signaling and the Li-detail signaling, and process a signal received from the transmitter 100 according to the determined mode to receive the Li-basic signaling and the Li-detail signaling. For this purpose, the receiver 200 may pre-store infoimation about parameters used at the transmitter 100 to process the signaling according to corresponding modes.
[645] As such, the Li-basic signaling and the Li-detail signaling may be sequentially acquired from the preamble. In describing FIGs. 23 and 24, components performing common functions will be described together for convenience of explanation.
[646] The constellation demappers 2310, 2411 and 2412 demodulate a signal received from

64 the transmitter 100.
[647] In detail, the constellation demapppers 2310, 2411 and 2412 are components corre-sponding to the constellation mappers 221, 324 and 325 of the transmitter 100, re-spectively, and may demodulate the signal received from the transmitter 100 and generate values corresponding to bits transmitted from the transmitter 100.
[648] That is, as described above, the transmitter 100 maps an LDPC
codeword including the Li-basic signaling and the LDPC codeword including the Li-detail signaling to the preamble of a frame, and transmits the mapped LDPC codeword to the receiver 200.
Further, in some cases, the transmitter 100 may map additional parity bits to the preamble of a frame and transmit the mapped bits to the receiver 200.
[649] As a result, the constellation demappers 2310 and 2411 may generate values corre-sponding to the LDPC codeword bits including the Li-basic signaling and the LDPC
codeword bits including the Li-detail signaling. Further, the constellation demapper 2412 may generate values corresponding to the additional parity bits.
[650] For this purpose, the receiver 200 may pre-store information about a modulation scheme used by the transmitter 100 to modulate the Li-basic signaling, the Li-detail signaling, and the additional parity bits according to corresponding modes.
Therefore, the constellation demappers 2310, 2411 and 2412 may demodulate the signal received from the transmitter 100 according to the corresponding modes to generate values cor-responding to the LDPC codeword bits and the additional parity bits.
[651] The value corresponding to a bit transmitted from the transmitter 100 is a value calculated based on probability that a received bit is 0 and 1, and instead, the probability itself may also be used as a value corresponding to each bit. The value may also be a Likelihood Ratio (LR) or an LLR value as another example.
[652] In detail, an LR value may represent a ratio of probability that a bit transmitted from the transmitter 100 is 0 and probability that the bit is 1, and an LLR value may represent a value obtained by taking a log on probability that the bit transmitted from the transmitter 100 is 0 and probability that the bit is 1.
[653] The foregoing example uses the LR value or the LLR value, which is only one example. According to another exemplary embodiment, the received signal itself rather than the LR or LLR value may also be used.
[654] The multiplexers 2320, 2421 and 2422 perform multiplexing on the LLR
values output from the constellation demappers 2310, 2411 and 2412.
[655] hi detail, the multiplexers 2320, 2421 and 2422 are components corresponding to the bit demultiplexers 219, 322 and 323 of the transmitter 100 and may perform operations corresponding to the operations of the bit demultiplexers 219, 322 and 323, re-spectively.
[656] For this purpose, the receiver 200 may pre-store information about parameters used

65 for the transmitter 100 to perform demultiplexing and block interleaving.
Therefore, the multiplexers 2320, 2421 and 2422 may reversely perform the demultiplexing and block interleaving operations of the bit demultiplexers 219, 322, and 323 on the LLR
value corresponding to a cell word to multiplex the LLR value corresponding to the cell word in a bit unit.
[657] The LLR inserters 2330 and 2430 may insert LLR values for the puncturing and shortening bits into the LLR values output from the multiplexers 2320 and 2421, re-spectively. In this case, the LLR inserters 2330 and 2430 may insert previously de-termined LLR values between the LLR values output from the multiplexers 2320 and 2421 or a head portion or an end portion thereof.
[658] In detail, the LLR inserters 2330 and 2430 are components corresponding to the zero removers 218 and 321 and the puncturers 217 and 318 of the transmitter 100, re-spectively, and may perform operations corresponding to the operations of the zero removers 218 and 321 and the puncturers 217 and 318, respectively.
[659] First, the LLR inserters 2330 and 2430 may insert LLR values corresponding to zero bits into a position where the zero bits in the LDPC codeword are padded. In this case, the LLR values corresponding to the padded zero bits, that is, the shortened zero bits may be 00 or -00. However, 00 or -00 are a theoretical value but may actually be a maximum value or a minimum value of the LLR value used in the receiver 200.
[660] For this purpose, the receiver 200 may pre-store information about parameters and/or patterns used for the transmitter 100 to pad the zero bits according to corresponding modes. Therefore, the LLR inserters 2330 and 2430 may determine positions where the zero bits in the LDPC codeword are padded according to the corresponding the modes, and insert the LLR values corresponding to the shortened zero bits into corresponding positions.
[661] Further, the LLR inserters 2330 and 2430 may insert the LLR values corresponding to the punctured bits into the positions of the punctured bits in the LDPC
codeword. In this case, the LLR values corresponding to the punctured bits may be 0.
[662] For this purpose, the receiver 200 may pre-store information about parameters and/or patterns used for the transmitter 100 to perform puncturing according to corresponding modes. Therefore, the LLR inserters 2330 and 2430 may determine the lengths of the punctured LDPC parity bits according to the corresponding modes, and insert corre-sponding LLR values into the positions where the LDPC parity bits are punctured.
[663] When the additional parity bits selected from the punctured bits among the additional parity bits, the LLR inserter 2430 may insert LLR values corresponding to the received additional parity bits, not an LLR value '0' for the punctured bit, into the positions of the punctured bits.
[664] The LLR combiners 2340 and 2440 may combine, that is, a sum the LLR
values

66 output from the LLR inserters 2330 and 2430 and the LLR value output from the mul-tiplexer 2422. However, the LLR combiners 2340 and 2440 serve to update LLR
values for specific bits into more correct values. However, the LLR values for the specific bits may also be decoded from the received LLR values without the LLR

combiners 2340 and 2440, and therefore, in some cases, the LLR combiners 2340 and 2440 may be omitted.
[665] In detail, the LLR combiner 2340 is a component corresponding to the repeater 216 of the transmitter 100, and may perform an operation corresponding to the operation of the repeater 216. Alternatively, the LLR combiner 2440 is a component corresponding to the repeater 317 and the additional parity generator 319 of the transmitter 100 and may perform operations corresponding to the operations of the repeater 317 and the ad-ditional parity generator 319.
[666] First, the LLR combiners 2340 and 2440 may combine LLR values corresponding to the repetition bits with other LLR values. Here, the other LLR values may be bits which are a basis of generating the repetition bits by the transmitter 100, that is, LLR
values for the LDPC parity bits selected as the repeated object.
[667] That is, as described above, the transmitter 100 selects bits from the LDPC parity bits and repeats the selected bits between the LDPC information bits and the LDPC
parity bits generated by LDPC encoding, and transmits the repetition bits to the receiver 200.
[668] As a result, the LLR values for the LDPC parity bits may be formed of the LLR
values for the repeated LDPC parity bits and the LLR values for the non-repeated LDPC parity bits, that is, the LDPC parity bits generated by the LDPC
encoding.
Therefore, the LLR combiners 2340 and 2440 may combine the LLR values for the same LDPC parity bits.
[669] For this purpose, the receiver 200 may pre-store information about parameters used for the transmitter 100 to perform the repetition according to corresponding modes. As a result, the LLR combiners 2340 and 2440 may determine the lengths of the repeated LDPC parity bits, determine the positions of the bits which are a basis of the repetition, and combine the LLR values for the repeated LDPC parity bits with the LLR
values for the LDPC parity bits which are a basis of the repetition and generated by the LDPC
encoding.
[670] For example, as illustrated in FIGs. 25 and 26, the LLR combiners 2340 and 2440 may combine LLR values for repeated LDPC parity bits with LLR values for LDPC
parity bits which are a basis of the repetition and generated by the LDPC
encoding.
[671] When LPDC parity bits are repeated n times, the LLR combiners 2340 and 2440 may combine LLR values for bits at the same position at n times or less.
[672] For example, FIG. 25 illustrates a case in which some of LDPC parity bits other than punctured bits are repeated once. In this case, the LLR combiners 2340 and 2440 may

67 combine LLR values for the repeated LDPC parity bits with LLR values for the LDPC
parity bits generated by the LDPC encoding, and then, output the combined LLR
values or output the LLR values for the received repeated LDPC parity bits or the LLR
values for the received LDPC parity bits generated by the LDPC encoding without combining them.
[673] As another example, FIG. 26 illustrates a case in which some of the transmitted LDPC parity bits, which are not punctured, are repeated twice, the remaining portions are repeated once, and the punctured LDPC parity bits are repeated once.
[674] In this case, the LLR combiners 2340 and 2440 may process the remaining portion and the punctured bits which are repeated once by the same scheme as described above. However, the LLR combiners 2340 and 2440 may process the portion repeated twice as follows. In this case, for convenience of description, one of the two portions generated by repeating some of the LDPC parity bits twice is referred to as a first portion and the other is referred to as the second portion.
[675] In detail, the LLR combiners 2340 and 2440 may combine LLR values for each of the first and second portions with LLR values for the LDPC parity bits.
Alternatively, the LLR combiners 2340 and 2440 may combine the LLR values for the first portion with the LLR values for the LDPC parity bits, combine the LLR values for the second portion with the LLR values for the LDPC parity bits, or combine the LLR
values for the first portion with the LLR values for the second portion. Alternatively, the LLR
combiners 2340 and 2440 may output the LLR values for the first portion, the LLR
values for the second portion, the LLR values for the remaining portion, and punctured bits, without separate combination.
1676] Further, the LLR combiner 2440 may combine LLR values corresponding to ad-ditional parity bits with other LLR values. Here, the other LLR values may be the LDPC parity bits which are a basis of the generation of the additional parity bits by the transmitter 100, that is, the LLR values for the LDPC parity bits selected for generation of the additional parity bits.
[677] That is, as described above, the transmitter 100 may map additional parity bits for Li-detail signaling transmitted in a current frame to a previous frame and transmit the mapped bits to the receiver 200.
[678] In this case, the additional parity bits may include LDPC parity bits which are punctured and are not transmitted in the current frame, and in some cases, may further include LDPC parity bits transmitted in the current frame.
[679] As a result, the LLR combiner 2440 may combine LLR values for the additional parity bits received through the current frame with LLR values inserted into the positions of the punctured LDPC parity bits in the LDPC codeword received through the next frame and LLR values for the LDPC parity bits received through the next

68 frame.
[680] For this purpose, the receiver 200 may pre-store information about parameters and/or patterns used for the transmitter 100 to generate the additional parity bits according to corresponding modes. As a result, the LLR combiner 2440 may determine the lengths of the additional parity bits, determine the positions of the LDPC parity bits which are a basis of generation of the additional parity bits, and combine the LLR
values for the additional parity bits with the LLR values for the LDPC parity bits which are a basis of generation of the additional parity bits.
[681] The parity depermutators 2350 and 2450 may depermutate the LLR values output from the LLR combiners 2340 and 2440, respectively.
[682] In detail, the parity depermutators 2350 and 2450 are components corresponding to the parity permutators 215 and 316 of the transmitter 100, and may perform operations corresponding to the operations of the parity permutators 215 and 316, respectively.
[683] For this purpose, the receiver 200 may pre-store information about parameters and/or patterns used for the transmitter 100 to perform group-wise interleaving and parity in-terleaving according to corresponding modes. Therefore, the parity depermutators 2350 and 2450 may reversely perform the group-wise interleaving and parity in-terleaving operations of the parity permutators 215 and 316 on the LLR values corre-sponding to the LDPC codeword bits, that is, perform group-wise deinterleaving and parity deinterleaving operations to perform the parity depermutation on the LLR values corresponding to the LDPC codeword bits, respectively.
[684] The LDPC decoders 2360 and 2460 may perform LDPC decoding based on the LLR
values output from the parity depermutators 2250 and 2350, respectively.
1685] In detail, the LDPC decoders 2360 and 2460 are components corresponding to the LDPC encoders 214 and 315 of the transmitter 100 and may perform operations corre-sponding to the operations of the LDPC encoders 214 and 315, respectively.
[686] For this purpose, the receiver 200 may pre-store information about parameters used for the transmitter 100 to perform the LDPC encoding according to corresponding modes. Therefore, the LDPC decoders 2360 and 2460 may perform the LDPC
decoding based on the LLR values output from the parity depermutators 2350 and 2450 according to the corresponding modes.
[687] For example, the LDPC decoders 2360 and 2460 may perform the LDPC
decoding based on the LLR values output from the parity depermutators 2350 and 2450 by iterative decoding based on a sum-product algorithm and output error-corrected bits depending on the LDPC decoding.
[688] The zero removers 2370 and 2470 may remove zero bits from the bits output from the LDPC decoders 2360 and 2460, respectively.
[689] In detail, the zero removers 2370 and 2470 are components corresponding to the zero

69 padders 213 and 314 of the transmitter 100 and may perform operations corresponding to the operations of the zero padders 213 and 314, respectively.
[690] For this purpose, the receiver 200 may pre-store information about parameters and/or patterns used for the transmitter 100 to pad the zero bits according to corresponding modes. As a result, the zero removers 2370 and 2470 may remove the zero bits padded by the zero padders 213 and 314 from the bits output from the LDPC decoders and 2460, respectively.
[691] The BCH decoders 2380 and 2480 may perform BCH decoding on the bits output from the zero removers 2370 and 2470, respectively.
[692] In detail, the BCH decoders 2380 and 2480 are components corresponding to the BCH encoders 212 and 313 of the transmitter 100 and may perform the operations cor-responding to the BCH encoders 212 and 313.
[693] For this purpose, the receiver 200 may pre-store the information about parameters used for the transmitter 100 to perform BCH encoding. As a result, the BCH
decoders 2380 and 2480 may correct errors by performing the BCH decoding on the bits output from the zero removers 2370 and 2470 and output the error-corrected bits.
[694] The descramblers 2390 and 2490 may descramble the bits output from the BCH
decoders 2380 and 2480, respectively.
[695] In detail, the descramblers 2390 and 2490 are components corresponding to the scramblers 211 and 312 of the transmitter 100 and may perform operations corre-sponding to the operations of the scramblers 211 and 312.
[696] For this purpose, the receiver 200 may pre-store information about the parameters used for the transmitter 100 to perform the scrambling. As a result, the descramblers 2390 and 2490 may descramble the bits output from the BCH decoders 2380 and and output them, respectively.
[697] As a result, Li-basic signaling transmitted from the transmitter 100 may be recovered. Further, when the transmitter 100 does not perform segmentation on Li -detail signaling, the Li-detail signaling transmitted from the transmitter 100 may also be recovered.
[698] However, when the transmitter 100 performs the segmentation on the Li-detail signaling, the desegmenter 2495 may desegment the bits output from the descrambler 2390.
[699] In detail, the desegmenter 2495 is a component corresponding to the segmenter 311 of the transmitter 100 and may perform an operation corresponding to the operation of the segmenter 311.
[700] For this purpose, the receiver 200 may pre-store information about parameters used for the transmitter 100 to perform the segmentation. As a result, the desegmenter 2495 may combine the bits output from the descrambler 2490, that is, the segments for the

70 Li-detail signaling to recover the Li-detail signaling before the segmentation.
[701] The information about the length of the Li signaling is provided as illustrated in FIG.
27. Therefore, the receiver 200 may calculate the length of the Li-detail signaling and the length of the additional parity bits.
[702] Referring to FIG. 27, since the Li-basic signaling provides information about Li-detail total cells, the receiver 200 needs to calculate the length of the Li -detail signaling and the lengths of the additional parity bits.
[703] In detail, when L1B_Ll_Detail_additional_parity_mode of the Li-basic signaling is not 0, since the information on the given L1B_Ll_Detail_total_cells represents a total cell length (= Nu-detail-total)cells), the receiver 200 may calculate the length Nu_detati_ceits of the Ll-detail signaling and the length NAP total _cells of the additional parity bits based on following Equations 35 to 37.
[704] NLI_FEc_cew6=(Nouter+Nrepeat+Ntapc_ptirity-Npunc)/llmoD=NFEchlmon ==..(35) [705] NLidetaksells=NLI OJECFRAM EX NIA _,17.13Csells (36) [706] NAp_total_cells=NLl_detail_total_cells-NLl_detail cells ....(37) [707] In this case, based on above Equations 35 to 37, an NAp_touil_cens value may be obtained based on an Nu_deta_totaLcois value which may be obtained from the infotmation about the L1B_Ll_Detail_total_cells of the Li-basic signaling, Npp,c, the NLID_FECPRAME, and the modulation order imoD. As an example, NAp_tetili_rens may be calculated based on following Equation 38.
[708] NAp total_cells=NL l_detai l_tatal_cel Is NL I D_FECFRAME XNFEChl MOD
= = .. (38) [709] Meanwhile, a syntax, and field semantics of the Li-basic signaling field are as following Table 16.
[710] [Table 161 [711]
Syntax # of bits Format L1_Basic_signalling 0 {
L1B_L1_Detail_size_bits 16 uimsbf L1B L1 Detail fec type 3 uimsbf _ _ _ _ L1B_L1_Detail_add itional_parity_mode 2 uimsbf L1B L1 Detail total cells 19 uimsbf _ _ _ _ L1B_Reserved ? uimsbf L1B_crc 32 uimsbf [712] _______________________________________________________________________ As a result, the receiver 200 may perfot in an operation of a receiver for the additional parity bits in a next frame based on the additional parity bits transmitted to the N
AP total_cells cell among the received Li detail cells.
[713] FIG. 28 is a flow chart for describing a method for parity permutation according to

71 an exemplary embodiment.
[714] First, parity bits are generated by encoding input bits (S2610).
[715] Next, a plurality of bit groups configuring the parity bits are group-wise interleaved to perform parity permutation (S2620).
[716] Further, some of the parity-permutated parity bits are punctured (S2630).
[717] In step S2620, the group-wise interleaving may be performed on the plurality of bit groups configuring the parity bits based on above Equation 11 and Table 4, 5 or 6.
[718] In this case, the parity bits are divided into the plurality of bit groups and the order of the plurality of bit groups may be changed based on above Equation 11 and above Table 4, 5 or 6 to perform the group-wise interleaving.
[719] In S2610, 3240 input bits may be encoded at a code rate of 3/15 to generate 12960 parity bits and generate an LDPC codeword formed of the input bits and the parity bits.
Next, the LDPC codeword in which some of the parity bits are punctured may be mapped to constellation symbols by QPSK to be transmitted to the receiver 200.
[720] The detailed methods for performing the parity permutation based on above Equation 11 and the above Table 4, 5, or 6 has been described above, and thus, duplicate de-scriptions are omitted.
[721] A non-transitory computer readable medium in which a program executing the various methods according to the above exemplary embodiments are stored may be provided, according to an exemplary embodiment.
[722] The non-transitory computer readable medium is not a medium that stores data therein for a while, such as a register, a cache, a memory, or the like, but means a medium that semi-permanently stores data therein and is readable by a device.
In detail, various applications or programs described above may be stored and provided in the non-transitory computer readable medium such as a compact disk (CD), a digital versatile disk (DVD), a hard disk, a Blu-ray disk, a universal serial bus (USB), a memory card, a read only memory (ROM), or the like.
[723] At least one of the components, elements, modules or units represented by a block as illustrated in FIGs. 1, 7, 8, 23 and 24 may be embodied as various numbers of hardware, software and/or firmware structures that execute respective functions described above, according to an exemplary embodiment. For example, at least one of these components, elements, modules or units may use a direct circuit structure, such as a memory, a processor, a logic circuit, a look-up table, etc. that may execute the re-spective functions through controls of one or more microprocessors or other control apparatuses. Also, at least one of these components, elements, modules or units may be specifically embodied by a module, a program, or a part of code, which contains one or more executable instructions for performing specified logic functions, and executed by one or more microprocessors or other control apparatuses. Also, at least one of these

72 components, elements, modules or units may further include or implemented by a processor such as a central processing unit (CPU) that performs the respective functions, a microprocessor, or the like. Two or more of these components, elements, modules or units may be combined into one single component, element, module or unit which performs all operations or functions of the combined two or more components, elements, modules or units. Also, at least part of functions of at least one of these components, elements, modules or units may be performed by another of these components, elements, modules or units. Further, although a bus is not illustrated in the above block diagrams, communication between the components, elements, modules or units may be performed through the bus. Functional aspects of the above exemplary embodiments may be implemented in algorithms that execute on one or more processors. Furthermore, the components, elements, modules or units represented by a block or processing steps may employ any number of related art techniques for electronics configuration, signal processing and/or control, data processing and the like.
[724]
Although the exemplary embodiments of inventive concept have been illustrated and described hereinabove, the inventive concept is not limited to the above-mentioned exemplary embodiments, but may be variously modified by those skilled in the art to which the inventive concept pertains without departing from the scope and spirit of the inventive concept as disclosed in the accompanying claims. For example, the exemplary embodiments are described in relation with BCH encoding and decoding and LDPC encoding and decoding. However, these embodiments do not limit the inventive concept to only a particular encoding and decoding, and instead, the inventive concept may be applied to different types of encoding and decoding with necessary modifications. These modifications should also be understood to fall within the scope of the inventive concept.
Date Recue/Date Received 2023-03-22

Claims

1. A broadcast signal transmitting method of a broadcast signal transmitting apparatus which is operable in a mode among a plurality of modes, the broadcast signal transmitting method comprising:
encoding information bits comprising input bits to generate parity bits based on a low density parity check (LDPC) code, a code rate of the mode being 3/15 and a code length of the mode being 16200 bits;
splitting a codeword comprising the information bits and the parity bits into a plurality of bit groups;
obtaining a permutation order of the mode from among a plurality of permutation orders;
interleaving the plurality of bit groups using the permutation order of the mode, to provide an interleaved codeword;
calculating a number of parity bits to be punctured based on a number of the information bits;
puncturing one or more parity bits of the interleaved codeword based on the calculated number;
mapping the input bits and parity bits of the interleaved codeword remaining after the puncturing onto constellation points, wherein the constellation points are generated based on a quadrature phase shift keying (QPSK) of the mode;
generating a broadcast signal based on the constellation points; and transmitting the broadcast signal, wherein the plurality of bit groups are interleaved based on following equations:
Y; = N for 0 < j < Klapc/360, 1'1 = Jcp (I) for K1dpc/3 60 j < Ngroup, where Y; represents a j-th bit group among the interleaved plurality of bit groups, X;
represents a j-th bit group among the plurality of bit groups, Kupe represents a number of the information bits, Ngroup represents a number of the plurality of bit groups, and a(j) represents the permutation order of the mode, and wherein the irp(j) is represented as follows:
Date Recue/Date Received 2023-03-22

2. The transmitting method of claim 1, wherein each of the plurality of bit groups comprises 360 bits.

3. The transmitting method of claim 1, wherein the encoding encodes 3240 information bits to generate 12960 parity bits.

4. A broadcast signal transmitting apparatus which is operable in a mode among a plurality of modes, the broadcast signal transmitting apparatus comprising:
an encoder configured to encode information bits comprising input bits to generate parity bits based on a low density parity check (LDPC) code having a code rate of the mode being 3/15 and a code length of the mode being 16200 bits;
a parity permutator configured to split a codeword comprising the information bits and the parity bits into a plurality of bit groups, obtain a permutation order of the mode from among a plurality of permutation orders and interleave the plurality of bit groups using the permutation order of the mode, to provide an interleaved codeword;
a puncturer configured to calculate a number of parity bits to be punctured based on a number of the information bits, and puncture bits of the interleaved codeword based on the calculated number;
a mapper configured to map the input bits and parity bits of the interleaved codeword remaining after the puncturing onto constellation points, wherein the constellation points are generated based on a quadrature phase shift keying (QPSK) of the mode;
a signal generator configured to generate a broadcast signal based on the constellation points; and a transmitter configured to transmit the broadcast signal, wherein the plurality of bit groups are interleaved based on following equations:
Yi = x; for 0 < j < K1dpc/360, = X7 r p D for K1dpc/360 < j < Ngroup, Date Recue/Date Received 2023-03-22 where Yi represents a j-th bit group among the interleaved plurality of bit groups, X;
represents a j-th bit group among the plurality of bit groups, Kt* represents the number of the information bits, Ngroup represents a number of the plurality of bit groups, and 70) represents the permutation order of the mode, and wherein the 70) is represented as follows:

5. The transmitting apparatus of claim 4, wherein each of the plurality of bit groups comprises 360 bits.

6. The transmitting apparatus of claim 4, wherein the encoder encodes 3240 information bits to generate 12960 parity bits.
Date Recue/Date Received 2023-03-22