CN101827059B - Digital signal transmission method and system based on multi-carrier pseudorandom sequence - Google Patents

Abstract

The invention relates to digital signal transmission method and system based on a multi-carrier pseudorandom sequence. The method comprises the steps of: carrying out coding and modulation treatment on data to be transmitted to generate a data block to be transmitted; carrying out framing on the data block to be transmitted and a selected multi-carrier pseudorandom sequence to obtain a data frame to be transmitted; and carrying out digital-to-analogue conversion and RF (Radio Frequency) modulation treatment on the data frame to be transmitted and sending. The method and system can obtain the needed multi-carrier pseudorandom sequence used as data assistance with the least time and provides more accurate and reliable parameter estimation for digital signal transmission.

Description

Digital signal transmission method and system based on multi-carrier pseudorandom sequence

Technical field

The present invention relates to digital information transmission technical field, relate in particular to a kind of digital signal transmission method based on multi-carrier pseudorandom sequence and system.

Background technology

In digital communication system, parameter Estimation recovers very crucial for data accurately and reliably.Common method for parameter estimation comprises the parameter Estimation of blind estimation and data auxiliary (Data Aided, DA).Wherein data-aided parameter Estimation has estimation accurately, and is reliable rapidly, realizes the advantages such as simple, is widely used in the digital communication system.

Training sequence (Training Sequence, TS) is a kind of auxiliary data, adds one section known sequence in transmitted signal, can carry out by this known array the estimation of various transformation parameters at receiving terminal.Common training sequence has PN (Pseudo-Noise, pseudo noise) sequence, Golay sequence, Legendre sequence, CAZAC (Constant Amplitude ZeroAuto-Correlation, permanent mould zero auto-correlation) sequence etc.These sequences have good automatic correlative property usually, and generate simply, therefore are widely used.Pilot tone (Pilot) also is a kind of common auxiliary data, sends known data at the frequency domain of transmitted signal according to certain pattern, can be used for carrying out equally the estimation of system parameters at receiving terminal.

Maximum linear feedback shift register sequence (being called for short the m sequence) is a kind of of pseudo random sequence, has many outstanding character (seeing Cao Zhigang, Qian Yasheng " Principles of Modern Communication " for details, Beijing, publishing house of Tsing-Hua University, 1992).It is TDS-OFDM (time domain orthogonal frequency division multiplexing Digital Transmission) technology that a typical case of m sequence uses, adopted (GB20600-2006, digital television ground broadcast transmission system frame structure, Channel Coding and Modulation) by Chinese terrestrial DTV national standard.TDS-OFDM adopts training sequence to fill the protection interval, and frame head is made of time domain two-value m sequence and cyclic extensions thereof, can be used to carry out fast synchronous and channel estimating.

With respect to the time domain binary sequence, frequency domain binary sequence (Chinese patent: based on the frequency domain channel estimation method that two-value full-pass sequence protection interval is filled, Tsing-Hua University, publication number CN101102114) is easier to carry out channel estimating.The people such as Fang Yang are verified, the sequence of the permanent mould of frequency domain can obtain optimum channel estimation results and (see " TrainingSequence Design for Low Complexity Channel Estimation in TransmitDiversity TDS-OFDM System " for details, IEICE Transactions on Communications, vol.E92-B, no.6, pp.230g-2311, June 2009).Owing to only have at frequency domain+1 and-1, so that receiving terminal does not need division arithmetic can finish channel estimating, thereby greatly reduce the complexity of channel estimation module.

Be called multi-carrier pseudorandom sequence (Multi-Carrier Pseudo-Noise by frequency domain sequence through the sequence that discrete Fourier transform (DFT) obtains with this, PN-MC), multi-carrier pseudorandom sequence is the good binary sequence of character in the discrete Fourier transform territory, inherits simultaneously the advantage of multi-carrier communication.Usually wish that in actual applications multi-carrier pseudorandom sequence has preferably power PAR character and automatic correlative property etc.If by the method search of traversal, length is that the multi-carrier pseudorandom sequence of N co-exists in 2 ^NIndividual possible sequence, volumes of searches are O (2 ^N).Take the sequence of length as 256 as example, volumes of searches reaches 10 ⁷⁷Magnitude, present computer may not realized.

Summary of the invention

The technical problem that (one) will solve

The technical problem to be solved in the present invention is: it is auxiliary as data to obtain needed multi-carrier pseudorandom sequence with the minimum time, thinks that digital data transmission provides more accurate, reliable parameter Estimation.

(2) technical scheme

For achieving the above object, the present invention adopts following technical scheme.

The invention provides a kind of digital signal transmission method based on multi-carrier pseudorandom sequence, the method comprising the steps of:

S1. to data to be transmitted encode, modulation treatment, generate the data to be transmitted piece;

S2. with described data to be transmitted piece and the multi-carrier pseudorandom sequence framing of selecting, obtain the data to be transmitted frame;

S3. described data to be transmitted frame is carried out digital-to-analogue conversion, rf modulations processing and transmission.

Wherein, the framing method among the step S2 comprises: the protection interval of filling described data to be transmitted piece with at least one described multi-carrier pseudorandom sequence; Or with the targeting sequencing of at least one described multi-carrier pseudorandom sequence as described data to be transmitted piece.

Wherein, the sequence of described multi-carrier pseudorandom sequence for being obtained through inverse discrete Fourier transformer inverse-discrete by binary sequence.

Wherein, the method for selecting of described multi-carrier pseudorandom sequence comprises step:

S2.1 makes that the discrete Fourier transform (DFT) of multi-carrier pseudorandom sequence is sequence C, and described sequence C is divided into the K section, and note is C successively ₁, C ₂..., C _K, the value of initialization sequence C is 0 entirely, and wherein, the length of multi-carrier pseudorandom sequence is N, and K is any positive integer less than N;

S2.2 makes i=1, C ₁At { α ₁, α ₂In value, obtain new sequence C ', with new sequence C ' do the inverse transformation of N point discrete Fourier, obtain multi-carrier pseudorandom sequence, calculate the parameter to be investigated of this multi-carrier pseudorandom sequence according to the optimal sequence Criterion of Selecting, travel through all possible C ₁, obtain the multi-carrier pseudorandom sequence of parameter optimum described to be investigated, the sequence C that record is corresponding ₁, wherein, 1≤i≤K, | α ₁|=| α ₂|;

S2.3 makes i=i+1, fixed sequence program C ₁, C ₂..., C _I-1, C _iAt { α ₁, α ₂Middle value, with C ₁, C ₂..., C _I-1, C _iInsetion sequence C consists of new sequence C ", to described new sequence C " does the inverse transformation of N point discrete Fourier and obtains multi-carrier pseudorandom sequence, calculates the parameter to be investigated of this multi-carrier pseudorandom sequence according to the optimal sequence Criterion of Selecting, travels through all possible C _i, obtain the multi-carrier pseudorandom sequence of parameter optimum described to be investigated, the C that record is corresponding _iAnd optimum parameter P to be investigated ₀

I sequence before S2.4 travels through successively again, fixation of C ₁-C _iIn except C _jOutside all sequences, travel through all possible C _jIf the parameter to be investigated of the optimum that obtains is better than P ₀, then upgrade optimum parameter to be investigated and corresponding sequence C _j, wherein, 1≤j≤i;

If S2.5 is i=K, execution in step S2.6 then, otherwise return step S2.3;

S2.6 is with the C of current selected ₁, C ₂..., C _KBe spliced into the binary sequence that length is N, described binary sequence is done the inverse transformation of N point discrete Fourier, the multi-carrier pseudorandom sequence that obtains is exported as selected multi-carrier pseudorandom sequence.

Wherein, described multi-carrier pseudorandom sequence is through expanding or blocking the sequence that obtains through inverse discrete Fourier transformer inverse-discrete again by the m sequence.

Wherein, described extended method comprises: cyclic extensions copies to the some bit signs in the end of described m sequence before the described m sequence; Or the zero padding expansion, replenish respectively some nil symbols at front end and the end of described m sequence; Or in sequence, insert nil symbol according to known pattern and expand.

Wherein, the method for selecting of described multi-carrier pseudorandom sequence comprises step:

The length of the selected multi-carrier pseudorandom sequence of S2.1 ' is N, determines the exponent number K of m sequence, satisfies

Or

Wherein,

With

Expression rounds downwards and rounds up respectively;

S2.2 ' is generator polynomial and the initial phase of selected m sequence successively, generates a m sequence;

S2.3 ' is the two-phase PSK symbol with the m sequence mapping that generates, and through expanding or blocking, consisting of length is the symbol sebolic addressing of N;

S2.4 ' does the inverse transformation of N point discrete Fourier to described symbol sebolic addressing, obtains the multi-carrier pseudorandom sequence that length is N;

S2.5 ' is according to the optimal sequence Criterion of Selecting, and the parameter to be investigated of the multi-carrier pseudorandom sequence that calculation procedure S2.4 ' obtains records described multi-carrier pseudorandom sequence and parameter value described to be investigated;

S2.6 ' judges whether to travel through all generator polynomials and all initial phases, if travel through, and execution in step S2.7 ' then, otherwise, return execution in step S2.2 ';

S2.7 ' chooses optimum parameter to be investigated according to described optimal sequence Criterion of Selecting from the parameter to be investigated that all obtain, and the multi-carrier pseudorandom sequence that it is corresponding is as selected multi-carrier pseudorandom sequence output.

Wherein, described optimal sequence Criterion of Selecting comprises:

Power PAR minimum criteria, parameter to be investigated are the power PAR PAPR of sequence, and the described power PAR PAPR of sequence c (n) is:

$\mathrm{PAPR}=\underset{0\&le;n<N}{\max }\left(c^2\left(n\right)\right)/\frac{1}{N}\underset{n=0}{\overset{N-1}{\mathrm{\&Sigma;}}}\left|c^2\left(n\right)\right|;$ Or

Aperiodic autocorrelative part quality factor maximal criterion, parameter to be investigated is the autocorrelative part quality factor F aperiodic of sequence _Part, autocorrelative part quality factor F aperiodic of sequence c (n) _Part, for:

$F_{\mathrm{part}}=R^2\left(0\right)/\underset{n=-3,-2,-\mathrm{1,1,2,3}}{{\mathrm{\&Sigma;}\left|R\left(n\right)\right|}^2}$

Wherein, R (n) is auto-correlation aperiodic of sequence c (n), and

$R\left(n\right)=\left\{\begin{array}{cc}\underset{i=0}{\overset{N-1-n}{\mathrm{\&Sigma;}}}c\left(i\right)\&CenterDot;c^{*}(i+n),& 0\&le;n<N\\ R^{*}(-n),& -N<n<0\end{array}\right.;$ Or

Auto-correlation quality factor maximal criterion aperiodic of discrete Fourier transform (DFT), parameter to be investigated is the autocorrelative quality factor aperiodic of sequence, autocorrelative quality factor MF aperiodic of sequence c (n) is:

$\mathrm{MF}=R^2\left(0\right)/\underset{n\&NotEqual;0}{{\mathrm{\&Sigma;}\left|R\left(n\right)\right|}^2}$

Wherein, R (n) is auto-correlation aperiodic of sequence c (n); Or

Aperiodic auto-correlation part quality factor and power PAR ratio maximal criterion, parameter to be investigated is: P=F _Part/ PAPR; Or

The auto-correlation quality factor and power PAR ratio maximal criterion aperiodic of discrete Fourier transform (DFT), parameter to be investigated is: P=MF/PAPR; Or

Aperiodic auto-correlation part quality factor and discrete Fourier transform (DFT) auto-correlation quality factor product maximal criterion aperiodic, parameter to be investigated is: P=F _PartMF; Or

Power PAR, aperiodic auto-correlation part quality factor and discrete Fourier transform (DFT) auto-correlation quality factor compromise aperiodic criterion, parameter to be investigated is P=F _PartMF/PAPR chooses the multi-carrier pseudorandom sequence of P maximum.

The present invention also provides a kind of digital signal transmission system based on multi-carrier pseudorandom sequence, and this system comprises: code modulation module, to data to be transmitted encode, modulation treatment, generate the data to be transmitted piece; The sequence generation module generates needed multi-carrier pseudorandom sequence; The framing module with described data to be transmitted piece and the multi-carrier pseudorandom sequence framing of selecting, obtains the data to be transmitted frame; Back end processing module carries out digital-to-analogue conversion, rf modulations processing and transmission to described data to be transmitted frame.

(3) beneficial effect

Method and system of the present invention is based on multi-carrier pseudorandom sequence, and this sequence has good peak-to-average force ratio characteristic, all has preferably automatic correlative property in time domain and discrete Fourier transform domain, can provide digital data transmission accurate, reliable channel estimating; According to the optimal sequence choosing method in the inventive method, can obtain fast by less volumes of searches the sequence of actual needs character optimum in addition, volumes of searches only is O (M2 ^N/M), M is the hop count that sequence is divided into; Can be by two-value m sequence through expanding or blocking again through inverse discrete Fourier transformer inverse-discrete structure multi-carrier pseudorandom sequence according to method of the present invention, in all m arrangement sets, choose the sequence of character optimum, thereby greatly less volumes of searches, can also obtain the more excellent multi-carrier pseudorandom sequence of character, inherit simultaneously the multiple advantage of m sequence; The multi-carrier pseudorandom sequence that uses the inventive method to obtain may be used in the multiple transmission system providing reliable accurate parameter Estimation as training sequence.

Description of drawings

Fig. 1 is the digital signal transmission method flow chart based on multi-carrier pseudorandom sequence according to one embodiment of the present invention;

Fig. 2 be according to one embodiment of the present invention based on the segmentation of the multi-carrier pseudorandom sequence in the digital signal transmission method of multi-carrier pseudorandom sequence access method flow chart most preferably;

Fig. 3 constructs and the choosing method flow chart according to the multi-carrier pseudorandom sequence based on the m sequence sets based in the digital signal transmission method of multi-carrier pseudorandom sequence of one embodiment of the present invention;

Fig. 4 is the digital signal transmission system structure chart based on multi-carrier pseudorandom sequence according to one embodiment of the present invention;

Fig. 5 (a) for segmentation among the embodiment 1 most preferably under the power PAR optiaml ciriterion that obtains of access method length be 256 PN-MC sequence time-domain mode value;

Fig. 5 (b) for segmentation among the embodiment 1 most preferably under the power PAR optiaml ciriterion that obtains of access method length be 256 PN-MC sequence auto-correlation aperiodic result;

Fig. 5 (c) for segmentation among the embodiment 1 most preferably under the power PAR optiaml ciriterion that obtains of access method length be auto-correlation result aperiodic of 256 PN-MC series of discrete Fourier transform;

Fig. 6 is the signal frame structure schematic diagram of embodiment 1;

Fig. 7 (a) is 512 PN-MC sequence time-domain mode value for length under the power PAR optiaml ciriterion among the embodiment 2;

Fig. 7 (b) is 512 PN-MC sequence auto-correlation aperiodic result for length under the power PAR optiaml ciriterion among the embodiment 2;

Fig. 7 (c) is auto-correlation result aperiodic of 512 PN-MC series of discrete Fourier transform for length under the power PAR optiaml ciriterion among the embodiment 2;

Fig. 8 (a) is 128 PN-MC sequence time-domain mode value for length under the auto-correlation quality partial factors optiaml ciriterion among the embodiment 2;

Fig. 8 (b) is 128 PN-MC sequence auto-correlation aperiodic result for length under the auto-correlation quality partial factors optiaml ciriterion among the embodiment 2;

Fig. 8 (c) is auto-correlation result aperiodic of 128 PN-MC series of discrete Fourier transform for length under the auto-correlation quality partial factors optiaml ciriterion among the embodiment 2;

Fig. 8 (d) is near the result of the as a result local amplification of relevant peaks of PN-MC sequence auto-correlation aperiodic of Fig. 8 (b);

Fig. 9 is the signal frame structure schematic diagram of embodiment 2;

Figure 10 is the signal frame structure schematic diagram of embodiment 3.

Embodiment

Digital signal transmission method and system based on multi-carrier pseudorandom sequence (PN-MC sequence) that the present invention proposes are described in detail as follows in conjunction with the accompanying drawings and embodiments.

As shown in Figure 1, according to the digital signal transmission method based on multi-carrier pseudorandom sequence of one embodiment of the present invention, the method comprising the steps of:

S1. to data to be transmitted encode, the processing such as modulation, generate the data to be transmitted piece;

The data to be transmitted piece can be the data block of single carrier data block, multicarrier data block and broad sense, and namely the data block of single carrier data block or multicarrier data block and protection interval formation thereof can also be the combination of one or more data blocks.

S2. with data to be transmitted piece and the PN-MC sequence framing of selecting, obtain the data to be transmitted frame;

The method of framing includes but not limited to: with the protection interval of one or more PN-MC Sequence Filling data to be transmitted pieces; With the targeting sequencing of one or more PN-MC sequences as the data to be transmitted piece.

S3. treat transmitting data frame and carry out the back-end processing such as digital-to-analogue conversion, rf modulations and transmission.

Wherein, described PN-MC sequence is the sequence that the Arbitrary Binary sequence obtains through inverse discrete Fourier transformer inverse-discrete.In order to obtain the PN-MC sequence of character optimum by less volumes of searches, as shown in Figure 2, the method for selecting of PN-MC sequence comprises step:

The length of the PN-MC sequence that S2.1 order is selected is N, with its discrete Fourier transform (DFT) segmentation and initialization, is specially: the discrete Fourier transform (DFT) of note PN-MC sequence is sequence C, is that the sequence C of N is divided into the K section with length, and note is C successively ₁, C ₂..., C _K, the value of initialization C sequence is 0 entirely, preferably, and C ₁, C ₂..., C _K-1Length is L,

C _KLength is N-(K-1) L, Expression rounds downwards;

S2.2 remembers i=1, and traversal first paragraph sequence is got criterion according to the most orderly column selection, obtains the first paragraph sequence of parameter optimum to be investigated; Be specially: make sequence C ₁At { α ₁, α ₂In value, obtain new sequence C ', with new sequence C ' do the inverse transformation of N point discrete Fourier, obtain the PN-MC sequence, calculate the parameter to be investigated of this sequence according to the optimal sequence Criterion of Selecting, travel through all possible C ₁, obtain the PN-MC sequence of parameter optimum to be investigated, the sequence C that record is corresponding ₁, wherein, 1≤i≤K, | α ₁|=| α ₂|;

S2.3 remembers i=i+1, and for i＞1, fixing front i-1 section sequence travels through i section sequence, obtains the i terminal sequence of parameter optimum to be investigated, and the optimum parameter value to be investigated of record; Be specially: for i (i＞1) section sequence C _i, fixed sequence program C ₁, C ₂..., C _I-1, make C _iAt { α ₁, α ₂Middle value, with C ₁, C ₂..., C _I-1, C _iInsetion sequence C consists of new sequence C ", to new sequence C " does the inverse transformation of N point discrete Fourier and obtains the PN-MC sequence, calculates the parameter to be investigated of this sequence according to the optimal sequence Criterion of Selecting, travels through all possible C _i, obtain the PN-MC sequence of parameter optimum to be investigated, the C that record is corresponding _iAnd optimum parameter P to be investigated ₀

I sequence also upgraded optimum parameter to be investigated and corresponding sequence before S2.4 traveled through successively again; Be specially: fixation of C ₁-C _iIn except C _jOutside all sequences, travel through all possible C _jIf the parameter to be investigated of the optimum that obtains is better than P ₀, then upgrade corresponding sequence C _jAnd optimum parameter to be investigated, wherein, 1≤j≤i;

If S2.5 is i=K, execution in step S2.6 then, otherwise return step S2.3;

S2.6 finishes search, with the C of current selected ₁, C ₂..., C _KBe spliced into the binary sequence that length is N, this binary sequence is done the inverse transformation of N point discrete Fourier, the PN-MC sequence that obtains is exported as selected PN-MC sequence.

In addition, the PN-MC sequence also can for by the m sequence through the expansion or block the sequence that obtains through inverse discrete Fourier transformer inverse-discrete again.At this moment, in order to obtain the PN-MC sequence of character optimum, as shown in Figure 3, the method for selecting of PN-MC sequence comprises step:

The length of the selected PN-MC sequence of S2.1 ' is N, determines the exponent number K of m sequence, satisfies

Or Wherein,

With

Expression rounds downwards and rounds up respectively;

S2.2 ' is generator polynomial and the initial phase of selected m sequence successively, generates a m sequence;

S2.3 ' is the two-phase PSK symbol with the m sequence mapping that generates, and through expanding or blocking, consisting of length is the symbol sebolic addressing of N;

Expansion includes but not limited to: cyclic extensions, and the some bit signs in end that are about to sequence copy to before the sequence; Or the zero padding expansion, namely replenish respectively several nil symbols at front end and the end of sequence; Or in sequence, insert nil symbol according to known pattern and realize expansion.

S2.4 ' does the inverse transformation of N point discrete Fourier to this symbol sebolic addressing, and obtaining length is the PN-MC sequence of N;

S2.5 ' is according to the optimal sequence Criterion of Selecting, and the parameter to be investigated of the PN-MC sequence that calculation procedure S2.4 ' obtains records PN-MC sequence and parameter value to be investigated;

S2.6 ' judges whether to travel through all generator polynomials and all initial phases, if travel through, and execution in step S2.7 ' then, otherwise, return execution in step S2.2 ';

S2.7 ' end search according to the optimal sequence Criterion of Selecting, is chosen optimum parameter to be investigated from the parameter to be investigated that all obtain, and the multi-carrier pseudorandom sequence that it is corresponding is as selected multi-carrier pseudorandom sequence output.

Mentioned optimal sequence Criterion of Selecting includes but not limited in above-mentioned two kinds of PN-MC sequence method for selecting:

Power PAR minimum criteria, parameter to be investigated are the power PAR (Peak-to-Average Power Ratio, PAPR) of sequence, and the power PAR PAPR of sequence c (n) is:

$\mathrm{PAPR}=\underset{0\&le;n<N}{\mathrm{<figure-callout\; id="0"\; label="max"\; filenames="HSA00000059525400031.png,HSA00000059525400032.png"\; state="\{\{state\}\}">max</figure-callout>}}\left(c^2\left(n\right)\right)/\frac{1}{N}\underset{n=0}{\overset{N-1}{\mathrm{\&Sigma;}}}\left|c^2\left(n\right)\right|;$

Aperiodic autocorrelative part quality factor maximal criterion, parameter to be investigated is the autocorrelative part quality factor aperiodic of sequence (Partial Merit Factor) F _Part, autocorrelative part quality factor F aperiodic of sequence c (n) _Part, for:

$F_{\mathrm{part}}=R^2\left(0\right)/\underset{n=-3,-2,-\mathrm{1,1,2,3}}{\mathrm{\&Sigma;}}{\left|R\left(n\right)\right|}^2$

Wherein, R (n) is auto-correlation aperiodic of sequence c (n), and

$R\left(n\right)=\left\{\begin{array}{cc}\underset{i=0}{\overset{N-1-n}{\mathrm{\&Sigma;}}}c\left(i\right)\&CenterDot;c^{*}(i+n),& 0\&le;n<N\\ R^{*}(-n),& -N<n<0\end{array}\right.;$ Or

Auto-correlation quality factor maximal criterion aperiodic of discrete Fourier transform (DFT), parameter to be investigated is the autocorrelative quality factor aperiodic of sequence, autocorrelative quality factor MF aperiodic of sequence c (n) is:

$\mathrm{MF}=R^2\left(0\right)/\underset{n\&NotEqual;0}{\mathrm{\&Sigma;}}{\left|R\left(n\right)\right|}^2$

Wherein, R (n) is auto-correlation aperiodic of sequence c (n);

Or take into account above-mentioned three kinds of criterions, in power PAR, auto-correlation part quality factor, three parameters of discrete Fourier transform (DFT) auto-correlation quality factor, compromise:

Aperiodic auto-correlation part quality factor and power PAR ratio maximal criterion, parameter to be investigated is: P=F _Part/ PAPR; Or

The auto-correlation quality factor and power PAR ratio maximal criterion aperiodic of discrete Fourier transform (DFT), parameter to be investigated is: P=MF/PAPR; Or

Aperiodic auto-correlation part quality factor and discrete Fourier transform (DFT) auto-correlation quality factor product maximal criterion aperiodic, parameter to be investigated is: P=F _PartMF; Or

Power PAR, aperiodic auto-correlation part quality factor and discrete Fourier transform (DFT) auto-correlation quality factor compromise aperiodic criterion, parameter to be investigated is P=F _PartMF/PAPR chooses the multi-carrier pseudorandom sequence of P maximum.

As shown in Figure 4, according to the digital signal transmission system based on multi-carrier pseudorandom sequence of one embodiment of the present invention, this system comprises: code modulation module, to data to be transmitted encode, the processing such as modulation, generate the data to be transmitted piece; The sequence generation module generates needed multi-carrier pseudorandom sequence; The framing module with data to be transmitted piece and the PN-MC sequence framing of selecting, obtains the data to be transmitted frame; Post-processing module is treated transmitting data frame and is carried out the back-end processing such as digital-to-analogue conversion, rf modulations and transmission.

Embodiment 1

Present embodiment specifies the method for selecting of PN-MC sequence in the inventive method take the PN-MC of length as 256 as example, and based on the digital signal transmission method of optimum PN-MC sequence.This PN-MC sequence by value for the Arbitrary Binary sequence of ± 1} obtains through inverse discrete Fourier transformer inverse-discrete, and as the optimal sequence Criterion of Selecting, concrete steps are with time domain power PAR criterion:

S101. selected PN-MC sequence length N=256 is divided into equal 16 sections with the discrete Fourier transform C of PN-MC, and note is C ₁, C ₂..., C ₁₆, every segment length L=16, all elements value of initialization C sequence is 0;

S102. remember i=1, make sequence C ₁Value among the ± 1}, obtain new sequence C ', with sequence C ' do 256 point discrete Fourier inverse transformations, obtain the PN-MC sequence, calculate the power PAR of this PN-MC sequence, travel through all possible C ₁, search out the PN-MC sequence of power PAR minimum, the sequence C that record is corresponding ₁

S103. for i＞1, for i section sequence C _i, fixed sequence program C ₁..., C _I-1, make sequence C _iIn that { value among the ± 1} is with C ₁..., C _I-1, C _iInsert C and consist of new sequence C ", obtain the PN-MC sequence through 256 point discrete Fourier inverse transformations again, calculate the power PAR of this PN-MC sequence, travel through all possible C _i, search the PN-MC sequence of power PAR minimum, the sequence C that record is corresponding _iWith minimum power peak-to-average force ratio PAPR ₀

S104. successively again front i the sequence of traversal and renewal.Fixation of C ₁～C _iIn except C _j(all sequences outside 1≤j≤i), traversal C _jAll possible value is if the optimal value of the parameter that obtains is better than P ₀, then upgrade corresponding sequence C _jWith optimal value of the parameter P ₀

If i=16 S105., execution in step S106 then, otherwise make i=i+1 return step S103;

S106. finish search, export best PN-MC sequence.The C that current search is arrived ₁, C ₂..., C _KBe spliced into length and be 256 binary sequence, do 256 point discrete Fourier inverse transformations, as best PN-MC sequence output.

Most preferably following the example of the length that obtains by above-mentioned segmentation is that 256 PN-MC sequence is as shown in table 1, its time-domain mode value is shown in Fig. 5 (a), aperiodic, the auto-correlation result was shown in Fig. 5 (b), discrete Fourier transform (DFT) aperiodic the auto-correlation result shown in Fig. 5 (c).Profit uses the same method, and can to obtain length be 128 and 192 PN-MC sequence, and its result is listed in the table 1 in the lump.

The minimum PN-MC sequence of power PAR that obtains is most preferably followed the example of in table 1 segmentation

Sequence length	Power PAR	The discrete Fourier transform (DFT) of PN-MC sequence (wherein 1 expression+1,0 expression-1)
			128	1.8664	101000010110100111011001110010101100110111010011100 000010011010111000001001011000110010010111010010011 11110011110110100000011010
192	1.9409	1100000110111111101100101100110011101110001101101011

[0118]

		1101000101011000101110110001101111011100101110010111 1011111111100101000111011100110010100000100000100010 011011001011110011010110100000011010
			256	2.0324	001101101010100110000110000111001000010000010001111 010010001000010010000010100101111111011010110101001 1111111101011100010001011101100001101001101101010100 0011100101101011111111010011110100010000011111000000 10011101100011111010100111000100111100100111000110

Use the digital signal transmission method of the PN-MC sequence of above-mentioned power PAR optimum, concrete steps are:

S1. with data to be transmitted process coding, constellation mapping generates the single carrier data block;

S2. using 1 length is the protection interval that the PN-MC sequence of 512 power PAR optimum is inserted the single carrier data block, forms the signal frame that training sequence is filled the protection interval, and signal frame structure as shown in Figure 6;

S3. the signal frame among the step S2 is carried out reprocessing and send.

Embodiment 2

This embodiment is take the PN-MC sequence of length as 256 as example, specify structure and the method for selecting of the PN-MC sequence under the auto-correlation quality factor optiaml ciriterion of discrete Fourier transform (DFT), and based on the digital signal transmission method of the optimum PN-MC sequence of auto-correlation quality factor of discrete Fourier transform (DFT).PN-MC method for selecting concrete steps under the auto-correlation quality factor optiaml ciriterion of discrete Fourier transform (DFT) are:

S201. the length of selected PN-MC sequence is that the exponent number of 256, m sequence is 8;

S202. selected 8 rank m sequences one-tenth multinomial and the initial phase of giving birth to, 8 rank m sequences have 16 kinds of generator polynomials and 255 kinds of initial phases, are 255 m sequence { PN (k) } according to generator polynomial and initial phase structure length ₀ ²⁵⁴

The S203.m sequence is modulated (BPSK) through two-phase PSK, and is 256 sequence { C (k) } through 1 cyclic extensions formation length ₀ ²⁵⁵

S204.{C (k) } ₀ ²⁵⁵Obtain sequence PN-MC sequence { C (n) } through 256 point discrete Fourier inverse transformations ₀ ²⁵⁵

c(n)＝IDFT ₂₅₆(C(k))，n＝0，1，...，255

IDFT wherein ₂₅₆() expression 256 point discrete Fourier inverse transformations.

S105. calculate auto-correlation aperiodic of the discrete Fourier transform (DFT) c (n) of PN-MC sequence;

$R\left(n\right)=\left\{\begin{array}{cc}\underset{i=0}{\overset{255-n}{\mathrm{\&Sigma;}}}c\left(i\right)\&CenterDot;c^{*}(i+n),& 0\&le;n<256\\ R^{*}(-n),& -256<n<0\end{array}\right.$

By R (n) but the auto-correlation quality factor of sequence of calculation c (n),

$\mathrm{MF}=R^2\left(0\right)/\underset{n\&NotEqual;0}{\mathrm{\&Sigma;}}{\left|R\left(n\right)\right|}^2$

S206. judge that current whether the traversal reaches all initial phases under all generator polynomials, if do not travel through, then return S202, if travel through, then jump to S207;

S207. choose the PN-MC sequence of the auto-correlation quality factor maximum of discrete Fourier transform (DFT), as the optimal sequence under the auto-correlation quality factor optiaml ciriterion of discrete Fourier transform (DFT) and output.

Be that 256 the corresponding m sequence of best PN-MC sequence has two according to the selected length of above-mentioned steps, as shown in table 2.The PN-MC sequence of table 2 discrete Fourier transform (DFT) auto-correlation quality factor optimum

x 9+x 8+x 7+x 5+x 3+x 2

1100011100

The PN-MC sequence of table 3 power PAR optimum

Sequence length	The minimum power peak-to-average force ratio	M sequence generator polynomial	Initial phase
				128	2.1250	x 6+x 5+x 2+1	1001001
256	2.3556	x 7+x 5+x 4+x 2+1	11000111
				512	2.4668	x 8+x 6+x 5+x 2+x 1+1	010101111
1024	2.6318	x 9+x 7+x 5+x 3+x 1+1	0101000110

The PN-MC sequence of table 4 auto-correlation part quality factor optimum

Sequence length	Maximum auto-correlation part quality factor	M sequence generator polynomial	Initial phase
				128	2733	x 6+1	0000010
256	9000	x 7+x 3+x 2+x 1+1	11000100
				512	35056	x 8+x 6+x 5+x 3	001001000
1024	127710	x 9+x 6+x 2+1	0110000111

Contrast table 1 and table 3 as can be known, the result who is confined to the m sequence search is more less better than the result that search in all possible sequence obtains, but volumes of searches is less, can inherit some advantageous properties of m sequence simultaneously.

Wherein, length is 512 best PN-MC sequence time-domain mode value in the table 3, aperiodic auto-correlation and discrete Fourier transform (DFT) aperiodic auto-correlation respectively shown in Fig. 7 (a)-7 (c).

Length is 128 best PN-MC sequence time-domain mode value in the table 4, aperiodic auto-correlation, auto-correlation aperiodic of discrete Fourier transform (DFT), and aperiodic auto-correlation as a result near the relevant peaks the local result who amplifies respectively shown in Fig. 8 (a)-8 (c).

The digital signal transmission method concrete steps of PN-MC of using the auto-correlation quality factor optimum of above-mentioned discrete Fourier transform (DFT) are:

S1. the data to be transmitted process is encoded, constellation mapping, the OFDM modulation generates the OFDM data block;

S2. using 2 identical length is the protection interval that 256 best PN-MC sequence is inserted the OFDM data block, forms the signal frame that training sequence is filled the protection interval, and signal frame structure as shown in Figure 9;

S3. the signal frame among the S2 is carried out reprocessing and send.

Embodiment 3

This embodiment is take the PN-MC of length as 420 as example, specifies a plurality of criterions of explanation and unites optimal sequence method for selecting when considering.Such as wishing that PN-MC sequence time domain power PAR autocorrelation low and discrete Fourier transform (DFT) is good, can define parameter A=MF/PAPR to be investigated, choose the PN-MC of A maximum as optimal sequence; Wish that perhaps the PN-MC sequence all has good autocorrelation in time domain and discrete Fourier transform domain, can define B parameter=MFF to be investigated _Part, choose the PN-MC sequence of B maximum as optimal sequence.The below is low and the discrete Fourier transform (DFT) autocorrelation is good as the optimal sequence Criterion of Selecting with the time domain power PAR, and making up length by m sequence zero padding expansion is 420 PN-MC sequence, and step is specially:

S301. the length of selected PN-MC sequence is 420, and selecting the exponent number of m sequence is 8;

S302. select successively generator polynomial and the initial phase of m sequence; It is 255 m sequence { PN (k) } according to generator polynomial and initial phase structure length ₀ ²⁵⁴

The S303.m sequence is replenished respectively 82 and 83 0 symbols at front end and end again through BPSK modulation, obtains length and be 420 sequence { C (k) } ₀ ⁴¹⁹

S304.{C (k) } ₀ ⁴¹⁹Obtain sequence { C (n) } through 420 point discrete Fourier inverse transformations ₀ ⁴¹⁹

c(n)＝IDFT ₄₂₀(C(k))，n＝0，1，...，419

IDFT wherein ₄₂₀() expression 420 point discrete Fourier inverse transformations.

S305. autocorrelative quality factor MF aperiodic of the power PAR PAPR of sequence of calculation c (n) and sequence C (k) defines A=MF/PAPR, calculates the A value of PN-MC;

S306. judge current all generator polynomials and all initial phases that whether has traveled through 8 rank m sequences, if travel through, then jump to step 307, otherwise return step 302;

S307. the PN-MC sequence of Selecting All Parameters A maximum is also exported as the optimal sequence under this enforcement optiaml ciriterion.

The length that searches according to above-mentioned steps is that 420 best PN-MC sequence has two, and generator polynomial and the initial phase of corresponding m sequence are respectively x ⁷+ x ⁴+ x ²+ 1,11101001, x ⁷+ x ⁶+ x ⁴+ x ², 11111000, its power PAR is 2.6797, the auto-correlation quality factor of discrete Fourier transform (DFT) is 3.5685.

The digital signal transmission method concrete steps of using the PN-MC of above-mentioned optimum are:

S1. with data to be transmitted through coding, constellation mapping, OFDM modulation generates the OFDM data block, and last L symbol of OFDM data block is copied to before the data block formation CP-OFDM (Cyclic Prefix OFDM) data block;

S2. using 4 identical length is that 420 auto-correlation part PN-MC sequence best in quality is inserted before M the CP-OFDM data block, and as the targeting sequencing of signal frame, signal frame structure as shown in figure 10;

S3. the signal frame among the step S2 is carried out reprocessing and send.

Embodiment 4

This embodiment constructs the PN-MC of length as 420 in the mode of m sequence truncation, low with the time domain power PAR, aperiodic, auto-correlation part quality factor was large, and the auto-correlation quality factor wonderful works aperiodic optimal sequence Criterion of Selecting of discrete Fourier transform (DFT), and its step is specially:

S401. the length of selected PN-MC sequence is 420, and selecting the exponent number of m sequence is 9;

S402. select successively generator polynomial and the initial phase of m sequence; It is 511 m sequence { PN (k) } according to generator polynomial and initial phase structure length ₀ ⁵¹⁰

The S403.m sequence intercepts front 420 symbols through BPSK modulation, obtains length and be 420 sequence { C (k) } ₀ ⁴¹⁹

S404.{C (k) } ₀ ⁴¹⁹Obtain sequence { C (n) } through 420 point discrete Fourier inverse transformations ₀ ⁴¹⁹

c(n)＝IDFT ₄₂₀(C(k))，n＝0，1，...，419

IDFT wherein ₄₂₀() expression 420 point discrete Fourier inverse transformations.

S405. power PAR PAPR, the aperiodic autocorrelative part quality factor F of sequence of calculation c (n) _Part, and autocorrelative quality factor MF aperiodic of C (k), defined parameters A=MFF _Part/ PAPR, the parameter A value of calculating PN-MC;

S406. judge current all generator polynomials and all initial phases that whether has traveled through 9 rank m sequences, if travel through, then jump to S407, otherwise return S402;

S407. the PN-MC sequence of Selecting All Parameters A maximum is also exported as the optimal sequence under this enforcement optiaml ciriterion.

The length that searches according to above-mentioned steps is that the generator polynomial of 420 the corresponding m sequence of best PN-MC sequence is x ⁸+ x ⁷+ x ⁵+ x ⁴+ x ²+ x ¹, initial phase is 100100001, and its power PAR is 2.3525, and auto-correlation part quality factor is 996.2265, and the auto-correlation quality factor of discrete Fourier transform (DFT) is 2.6164.

Embodiment 5

This embodiment is take the extended mode structure length of filling nil symbol according to known pattern in the m sequence PN-MC as 420, and minimum as the optimal sequence Criterion of Selecting with the time domain power PAR, its step is specially:

S501. the length of selected PN-MC sequence is 420, and selecting the exponent number of m sequence is 8;

S502. successively generator polynomial and the initial phase of selected m sequence are 255 m sequence { PN (k) } according to generator polynomial and initial phase structure length ₀ ²⁵⁴

The S503.m sequence is got fixed known pattern through BPSK modulation, is in 420 the null symbol with being inserted into length in the m sequence after the BPSK modulation, obtains length and be 420 sequence { C (k) } ₀ ⁴¹⁹, namely

$C\left(k\right)=\left\{\begin{array}{cc}1-2\&CenterDot;\mathrm{PN}\left(S^{-1}\left(k\right)\right),& k\&Element;\mathrm{<figure-callout\; id="0"\; label="S"\; filenames="HSA00000059525400031.png,HSA00000059525400032.png"\; state="\{\{state\}\}">S</figure-callout>}\\ 0,& k\&NotElement;S\end{array}\right.;$

Wherein S is the indexed set that the m sequence is inserted into null symbol, note S ^-1(k)=n satisfies k=S (n).

S504.{C (k) } ₀ ⁴¹⁹Obtain sequence { c (n) } through 420 point discrete Fourier inverse transformations ₀ ⁴¹⁹

c(n)＝IDFT ₄₂₀(C(k))，n＝0，1，...，419

IDFT wherein ₄₂₀() expression 420 point discrete Fourier inverse transformations.

S505. the power PAR PAPR of sequence of calculation c (n) records c (n) and corresponding PAPR;

S506. judge current all generator polynomials and all initial phases that whether has traveled through 8 rank m sequences, if travel through, then jump to step 607, otherwise return step 602;

S507. choose the PN-MC sequence of PAPR minimum, as the optimal sequence under this enforcement optiaml ciriterion and output.

Above execution mode only is used for explanation the present invention; and be not limitation of the present invention; the those of ordinary skill in relevant technologies field; in the situation that does not break away from the spirit and scope of the present invention; can also make a variety of changes and modification; therefore all technical schemes that are equal to also belong to category of the present invention, and scope of patent protection of the present invention should be defined by the claims.

Claims (5)

1. digital signal transmission method based on multi-carrier pseudorandom sequence, the method comprising the steps of:

S1. to data to be transmitted encode, modulation treatment, generate the data to be transmitted piece;

S2. with described data to be transmitted piece and the multi-carrier pseudorandom sequence framing of selecting, obtain the data to be transmitted frame;

S3. described data to be transmitted frame is carried out digital-to-analogue conversion, rf modulations processing and transmission;

The sequence of described multi-carrier pseudorandom sequence for being obtained through inverse discrete Fourier transformer inverse-discrete by binary sequence, the method for selecting of described multi-carrier pseudorandom sequence comprises step:

S2.1 makes that the discrete Fourier transform (DFT) of multi-carrier pseudorandom sequence is sequence C, and described sequence C is divided into the K section, and note is C successively ₁, C ₂..., C _K, the value of initialization sequence C is 0 entirely, and wherein, the length of multi-carrier pseudorandom sequence is N, and K is any positive integer less than N;

S2.2 makes i=1, C ₁At { α ₁, α ₂In value, obtain new sequence C ', with new sequence C ' do the inverse transformation of N point discrete Fourier, obtain multi-carrier pseudorandom sequence, calculate the parameter to be investigated of this multi-carrier pseudorandom sequence according to the optimal sequence Criterion of Selecting, travel through all possible C ₁, obtain the multi-carrier pseudorandom sequence of parameter optimum described to be investigated, the sequence C that record is corresponding ₁, wherein, 1≤i≤K, | α ₁|=| α ₂|;

S2.3 makes i=i+1, fixed sequence program C ₁, C ₂..., C _I-1, C _iAt { α ₁, α ₂Middle value, with C ₁, C ₂..., C _I-1, C _iInsetion sequence C consists of new sequence C ", to described new sequence C " does the inverse transformation of N point discrete Fourier and obtains multi-carrier pseudorandom sequence, calculates the parameter to be investigated of this multi-carrier pseudorandom sequence according to the optimal sequence Criterion of Selecting, travels through all possible C _i, obtain the multi-carrier pseudorandom sequence of parameter optimum described to be investigated, the C that record is corresponding _iAnd optimum parameter P to be investigated ₀

I sequence before S2.4 travels through successively again, fixation of C ₁-C _iIn except C _jOutside all sequences, travel through all possible C _jIf the parameter to be investigated of the optimum that obtains is better than P ₀, then upgrade optimum parameter to be investigated and corresponding sequence C _j, wherein, 1≤j≤i;

If S2.5 is i=K, execution in step S2.6 then, otherwise return step S2.3;

S2.6 is with the C of current selected ₁, C ₂..., C _KBe spliced into the binary sequence that length is N, described binary sequence is done the inverse transformation of N point discrete Fourier, the multi-carrier pseudorandom sequence that obtains is exported as selected multi-carrier pseudorandom sequence;

Perhaps

Described multi-carrier pseudorandom sequence is through expanding or blocking the sequence that obtains through inverse discrete Fourier transformer inverse-discrete again by the m sequence; The method for selecting of described multi-carrier pseudorandom sequence comprises step:

The length of the selected multi-carrier pseudorandom sequence of S2.1 ' is N, determines the exponent number K of m sequence, satisfies

Or

Wherein,

With

Expression rounds downwards and rounds up respectively;

S2.2 ' is generator polynomial and the initial phase of selected m sequence successively, generates a m sequence;

S2.3 ' is the two-phase PSK symbol with the m sequence mapping that generates, and through expanding or blocking, consisting of length is the symbol sebolic addressing of N;

S2.4 ' does the inverse transformation of N point discrete Fourier to described symbol sebolic addressing, obtains the multi-carrier pseudorandom sequence that length is N;

S2.5 ' is according to the optimal sequence Criterion of Selecting, and the parameter to be investigated of the multi-carrier pseudorandom sequence that calculation procedure S2.4 ' obtains records described multi-carrier pseudorandom sequence and parameter value described to be investigated;

S2.6 ' judges whether to travel through all generator polynomials and all initial phases, if travel through, and execution in step S 2.7 ' then, otherwise, return execution in step S2.2 ';

S2.7 ' chooses optimum parameter to be investigated according to described optimal sequence Criterion of Selecting from the parameter to be investigated that all obtain, and the multi-carrier pseudorandom sequence that it is corresponding is as selected multi-carrier pseudorandom sequence output.

2. the digital signal transmission method based on multi-carrier pseudorandom sequence as claimed in claim 1 is characterized in that, the framing method among the step S2 comprises:

Fill the protection interval of described data to be transmitted piece with at least one described multi-carrier pseudorandom sequence; Or

With the targeting sequencing of at least one described multi-carrier pseudorandom sequence as described data to be transmitted piece.

3. the digital signal transmission method based on multi-carrier pseudorandom sequence as claimed in claim 1 is characterized in that, described extended method comprises:

Cyclic extensions copies to the some bit signs in the end of described m sequence before the described m sequence; Or

The zero padding expansion replenishes respectively some nil symbols at front end and the end of described m sequence; Or

In sequence, insert the nil symbol expansion according to known pattern.

4. the digital signal transmission method based on multi-carrier pseudorandom sequence as claimed in claim 1 is characterized in that, described optimal sequence Criterion of Selecting comprises:

The power PAR minimum criteria, parameter P to be investigated is the power PAR PAPR of sequence, the described power PAR PAPR of sequence c (n) is:

Or

Aperiodic autocorrelative part quality factor maximal criterion, parameter P to be investigated is the autocorrelative part quality factor F aperiodic of sequence _Part, autocorrelative part quality factor F aperiodic of sequence c (n) _Part, for:

Wherein, R (n) is auto-correlation aperiodic of sequence c (n), and

Or

Auto-correlation quality factor maximal criterion aperiodic of discrete Fourier transform (DFT), parameter P to be investigated is the autocorrelative quality factor aperiodic of sequence, autocorrelative quality factor MF aperiodic of sequence c (n) is:

Wherein, R (n) is auto-correlation aperiodic of sequence c (n); Or

Aperiodic auto-correlation part quality factor and power PAR ratio maximal criterion, parameter to be investigated is: P=F _Part/ PAPR; Or

The auto-correlation quality factor and power PAR ratio maximal criterion aperiodic of discrete Fourier transform (DFT), parameter to be investigated is: P=MF/PAPR; Or

Aperiodic auto-correlation part quality factor and discrete Fourier transform (DFT) auto-correlation quality factor product maximal criterion aperiodic, parameter to be investigated is: P=F _PartMF; Or

Power PAR, aperiodic auto-correlation part quality factor and discrete Fourier transform (DFT) auto-correlation quality factor compromise aperiodic criterion, parameter to be investigated is P=F _PartMF/PAPR chooses the multi-carrier pseudorandom sequence of P maximum.

5. digital signal transmission system based on multi-carrier pseudorandom sequence, this system comprises:

Code modulation module, to data to be transmitted encode, modulation treatment, generate the data to be transmitted piece;

The sequence generation module generates needed multi-carrier pseudorandom sequence;

The framing module with described data to be transmitted piece and the multi-carrier pseudorandom sequence framing of selecting, obtains the data to be transmitted frame;

Back end processing module carries out digital-to-analogue conversion, rf modulations processing and transmission to described data to be transmitted frame;

The sequence of described multi-carrier pseudorandom sequence for being obtained through inverse discrete Fourier transformer inverse-discrete by binary sequence, described framing module be selected described multi-carrier pseudorandom sequence by the following method:

S2.1 makes that the discrete Fourier transform (DFT) of multi-carrier pseudorandom sequence is sequence C, and described sequence C is divided into the K section, and note is C successively ₁, C ₂..., C _K, the value of initialization sequence C is 0 entirely, and wherein, the length of multi-carrier pseudorandom sequence is N, and K is any positive integer less than N;

S2.2 makes i=1, C ₁At { α ₁, α ₂In value, obtain new sequence C ', with new sequence C ' do the inverse transformation of N point discrete Fourier, obtain multi-carrier pseudorandom sequence, calculate the parameter to be investigated of this multi-carrier pseudorandom sequence according to the optimal sequence Criterion of Selecting, travel through all possible C ₁, obtain the multi-carrier pseudorandom sequence of parameter optimum described to be investigated, the sequence C that record is corresponding ₁, wherein, 1≤i≤K, | α ₁|=| α ₂|;

S2.3 makes i=i+1, fixed sequence program C ₁, C ₂.., C _I-1, C _iAt { α ₁, α ₂Middle value, with C ₁, C ₂..., C _I-1, C _iInsetion sequence C consists of new sequence C ", to described new sequence C " does the inverse transformation of N point discrete Fourier and obtains multi-carrier pseudorandom sequence, calculates the parameter to be investigated of this multi-carrier pseudorandom sequence according to the optimal sequence Criterion of Selecting, travels through all possible C _i, obtain the multi-carrier pseudorandom sequence of parameter optimum described to be investigated, the C that record is corresponding _iAnd optimum parameter P to be investigated ₀

I sequence before S2.4 travels through successively again, fixation of C ₁-C _iIn except C _jOutside all sequences, travel through all possible C _jIf the parameter to be investigated of the optimum that obtains is better than P ₀, then upgrade optimum parameter to be investigated and corresponding sequence C _j, wherein, 1≤j≤i;

If S2.5 is i=K, execution in step S2.6 then, otherwise return step S2.3;

S2.6 is with the C of current selected ₁, C ₂..., C _KBe spliced into the binary sequence that length is N, described binary sequence is done the inverse transformation of N point discrete Fourier, the multi-carrier pseudorandom sequence that obtains is exported as selected multi-carrier pseudorandom sequence;

Perhaps

Described multi-carrier pseudorandom sequence is through expanding or blocking the sequence that obtains through inverse discrete Fourier transformer inverse-discrete again by the m sequence; Described framing module is selected described multi-carrier pseudorandom sequence by the following method:

The length of the selected multi-carrier pseudorandom sequence of S2.1 ' is N, determines the exponent number K of m sequence, satisfies

Or

Wherein,

With

Expression rounds downwards and rounds up respectively;

S2.2 ' is generator polynomial and the initial phase of selected m sequence successively, generates a m sequence;

S2.3 ' is the two-phase PSK symbol with the m sequence mapping that generates, and through expanding or blocking, consisting of length is the symbol sebolic addressing of N;

S2.4 ' does the inverse transformation of N point discrete Fourier to described symbol sebolic addressing, obtains the multi-carrier pseudorandom sequence that length is N;

S2.5 ' is according to the optimal sequence Criterion of Selecting, and the parameter to be investigated of the multi-carrier pseudorandom sequence that calculation procedure S2.4 ' obtains records described multi-carrier pseudorandom sequence and parameter value described to be investigated;

S2.6 ' judges whether to travel through all generator polynomials and all initial phases, if travel through, and execution in step S 2.7 ' then, otherwise, return execution in step S2.2 ';

S2.7 ' chooses optimum parameter to be investigated according to described optimal sequence Criterion of Selecting from the parameter to be investigated that all obtain, and the multi-carrier pseudorandom sequence that it is corresponding is as selected multi-carrier pseudorandom sequence output.

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