CN108234102A - A kind of SM-GFDM systems with low complex degree detection algorithm - Google Patents
A kind of SM-GFDM systems with low complex degree detection algorithm Download PDFInfo
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L5/00—Arrangements affording multiple use of the transmission path
- H04L5/0001—Arrangements for dividing the transmission path
- H04L5/0014—Three-dimensional division
- H04L5/0023—Time-frequency-space
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B7/00—Radio transmission systems, i.e. using radiation field
- H04B7/02—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
- H04B7/04—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
- H04B7/0413—MIMO systems
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L1/00—Arrangements for detecting or preventing errors in the information received
- H04L1/004—Arrangements for detecting or preventing errors in the information received by using forward error control
- H04L1/0041—Arrangements at the transmitter end
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
- H04L25/00—Baseband systems
- H04L25/02—Details ; arrangements for supplying electrical power along data transmission lines
- H04L25/03—Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
- H04L25/03006—Arrangements for removing intersymbol interference
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
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- H04L27/00—Modulated-carrier systems
- H04L27/26—Systems using multi-frequency codes
- H04L27/2601—Multicarrier modulation systems
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Abstract
The present invention relates to a kind of SM GFDM systems with low complex degree detection algorithm, belong to mobile communication technology field.The characteristics of system combination spatial modulation system and GFDM technologies, include the following steps：Step 1：A part of bit information is carried first with the aerial position of spatial modulation；Step 2：Spatial modulation with multi-transceiver technology GFDM is combined, a cyclic prefix can be only used before every frame using GFDM, so as to improve the spectrum utilization efficiency of SM GFDM systems；Step 3：At SM GFDM Demodulation Systems end, using the openness of matrix, decomposed by constructing the docking collection of letters number of Fourier transform block matrix, so as to reduce the complexity in calculating process.The invention can effectively promote the utilization ratio to scattered frequency spectrum, while can also obtain relatively low detection complexity.
Description
Technical field
The present invention relates to 5G candidate modulation scheme technical fields, and in particular to it is a kind of combine GFDM spatial modulation system and
Low complex degree detection method.
Background technology
With the arrival in 5G epoch, propose higher requirement to the utilization of frequency spectrum resource, traditional OFDM technology due to
It needs to add in cyclic prefix (Cyclic Prefix, CP) before every section of frequency spectrum, therefore cause band resource in great wave
Take, in order to solve the problems, such as that frequency spectrum resource is nervous, occurred the novel Multicarrier Transmission Technologies of many 5G in recent years, for example filter
Device group multicarrier (FBMC, Filter Bank Multicarrier), general filtering multicarrier (UFMC, Universal
Filtered Multicarrier) and broad sense frequency division multiplexing (GFDM, Generalized Frequency Division
Multiplexing) technology etc. so that can be used to scattered frequency spectrum resource, therefore more can be suitably used for following 5G movements
In communication system, wherein, GFDM technologies before every frame due to need to only use a cyclic prefix, to the profit of frequency spectrum resource
It is improved with efficiency, is relatively one of 5G new technologies of tool potentiality.
In order to further improve the utilization to frequency spectrum resource, it is proposed that MIMO (Multiple input multiple
Output, multiple-input and multiple-output) technology concept, and obtained more and more concerns.The technology is matched simultaneously in transmitting-receiving two-end
More antennas are put, therefore efficiency of transmission is greatly improved, but in transmission process, there is interference between each antenna, while adjacent
There is also interference it is topic between subcarrier, in order to solve this problem, it is proposed that spatial modulation (Spatial modulation,
SM) the concept of technology, under the premise of which more antennas are configured in sending and receiving end, the only activation one in transmitting terminal synchronization
Transmission antenna, thus the technology effectively prevent mimo system interchannel interference and antenna between it is synchronous the problems such as, same to space-time
Between modulation can entrained information be used in itself by antenna serial number, so as to be increased entrained by signal on Spatial Dimension
Information content.In SM system receiving terminals, common signal detection algorithm have Maximum Likelihood Detection (Maximum Likelihood,
ML), globular decoding detection (Sphere Decoding, SD), matched filtering detection (Matched Filtering, MF) etc.,
Though middle ML detection algorithms are with higher complexity, since it being capable of exhaustive search activation antenna index and constellation modulation symbol
May all combine, therefore the relatively low bit error rate (BER) can be reached.
Based on the above advantage that space-modulation technique has, in order to further improve the efficiency of transmission of space-modulation technique,
Propose the concept of multicarrier space-modulation technique.Multicarrier space-modulation technique is mutually to tie spatial modulation with OFDM technology
It closes, single-pass data is assigned on parallel multichannel subcarrier using OFDM technology and is carried out at the same time parallel transmission, improves system
The availability of frequency spectrum；But traditional OFDM technology adds in cyclic prefix due to needing before each time slot, and frequency spectrum is caused
Very big waste, and OFDM is also there is inter-sub-carrier interference and with outward leakage is high, synchronous requirement is stringent, flexibility ratio
Low shortcoming.Therefore, in order to preferably be suitable in future 5G communication systems, the present invention is carried with reference to the characteristics of GFDM technologies
A kind of spatial modulation (SM-GFDM) system for combining GFDM is gone out.
Simultaneously, it is contemplated that the problem of system complexity with reference to after is high, the present invention devise a kind of SM- of low complex degree
GFDM receiving terminal detection algorithms, make it more can be suitably used in practical application.In view of the nonorthogonality of GFDM subcarriers, in property
It slightly loses compared with OFDM technology on energy, in order to solve this problem, in SM-GFDM systems, is adopted at spatial modulation end
System performance is improved with the best ML detection algorithms of performance, meanwhile, in GFDM receiving terminals, openness using matrix does not influence
The characteristic of system performance invents a kind of MF, ZF, MMSE detection algorithm openness based on matrix to reduce the complexity of system entirety
Degree, while system is made to keep preferable performance.
Invention content
It is an object of the invention to design the signal detection calculation of a kind of spatial modulation system for combining GFDM and low complex degree
Method.Since spatial modulation system and GFDM systems are two independent systems, in spatial modulation system, it is first to send information bit
First it is divided into two parts according to space reflection table, a part is used for transmitting information, and another part is used for selecting activation antenna index,
Wherein, it sends after bit sequence first passes around serioparallel exchange and becomes parallel bit sequence, according to space reflection table, after mapping
Transmission data is just integrated with two parts information, original real signal is converted to complex signal, and enter GFDM modulators and utilize
The multi-carrier nature of GFDM carries out GFDM modulation, wherein, the part of space reflection is equivalent to carry out the process of QAM modulation.
And in GFDM systems, since original GFDM needs to carry out serioparallel exchange into each after M-QAM mappings to bit sequence
Subcarriers, carry out the signal on each subcarriers K times of up-sampling, and the data after sampling are filtered and modulated,
It is finally overlapped and launches via channel.Therefore, the QAM in GFDM modulation steps can be reflected in system after bonding
It penetrates and replaces with spatial modulation, so as to form the transmitting terminal of SM-GFDM systems.System with reference to after is due to combining spatial modulation
Advantage so as to avoid the inter-antenna interference problem in MIMO-GFDM systems, meanwhile, using GFDM characteristics, towards 5G should
Scattered frequency spectrum can be used in.
In SM-GFDM system receiving terminals, the signal received carries out GFDM demodulation first, then by demodulated signal into line frequency
Space demodulation is carried out after the equilibrium of domain again, so as to obtain original input bit vector.Assuming that in SM-GFDM systems, originator and
N has been respectively configured in receiving endtAnd NrRoot antenna, using MaryQAM modulation uses K subcarrier, M time slot in GFDM modulation
It counts, then total hits N=KM, the bit number n=log that can be transmitted due to spatial modulation part2Mary+log2NtA bit,
In spatial modulation module input data sourceBit sequence is mapped to by constellation symbol and antenna according to space reflection table
Index, and the spatial modulation symbol generated after serioparallel exchangeWherein, dk=
[dk(0), dk(1) ..., dk(M-1)]T, then GFDM signals are generated after GFDM modulators：
Wherein,And xk=[xk(0), xk(1) ..., xk(M-1)]T, matrixFor modulation matrix,It is KM × KM diagonal matrix,K=0 ..., K-1, i.e.,G
It is the unit impulse response g=[g by ptototype filter0..., gn..., gN-1]TCarry out KM × M dimension squares that cyclic shift obtains
Battle array, thereforeThe wherein m of G (m=0,1 ..., M-1) row represent m-th
According to the impulse response of the pulse shaping filter on symbol.Assuming that channel is systems of quasi-static flat Rayleigh fading channels, then for spy
Reception signal phasor on fixed a pair of dual-mode antenna can be expressed as：
Y=Hx+n (2)
WhereinFor channel matrix,It is 0 for mean value, side
Difference isNoise signal vector.
In SM-GFDM systems, due to improving system in the best ML detection algorithms of spatial modulation end performance
Performance, therefore, present invention aims at the detection calculations for designing a kind of complexity that system is reduced under the premise of performance is not influenced
Method, based on this, the present invention proposes that a kind of MF, ZF and MMSE detection openness based on matrix is calculated.
Present invention definition is expressed as based on the openness MF receivers of matrix：
Wherein：WNIt is normalization Discrete Fourier Transform (DFT) block matrix of KM × KM dimension, is tieed up by K × K M × M
Submatrix Ωkl(k, l=0,1 ..., K-1) is formed, i.e.,Its
InMeshThereforeΓ=WNAH, Γ y can utilize
The openness reduction of Γ calculates, andIt can be calculated by FFT.
Because ΓHHave with Γ it is identical openness, therefore can directly to data advanced row frequency-domain transform (precoding)
EvenThen GFDM signals can be expressed as：
It defines in the present inventionWherein ΓkIt is the matrix of a M × KM, k=
0 ..., K-1 then have：
From (5) formula it will be seen that Γ is equivalent to receive GFDM Frequency Domain Solution of the signal after Fourier transform
Device is adjusted, and since the inner product of two complex exponential signals of different frequency is zero, i.e.,：
Wherein：M, n=0 ..., K-1, we can obtain：
The present invention defines h=(K-k) modK, then has：
WhereinFor diagonal matrix,
I.e.(8) formula is substituted into (7) formula, and we can obtain
It arrives：
Therefore, with reference to ΨhExpression formula, we can obtain ΓkIn only M2A nonzero element, these nonzero element institutes
H, h+K ..., h+ (M-1) K are being classified as, remaining row is all zero.So Γ shares KM2A nonzero element, therefore Γ=WNAHHave
It is openness.
The present invention is defined based on the openness ZF receiver expressions of matrix：
We need analysis matrix AHThe characteristic of A.By GFDM modulation matrixs definition we be easy to：
BecauseIt enablesThen there are D=diag { [D0..., Dk..., DK-1]}
It is the block diagonal matrix of a KM × KM, DkIt is the matrix of a M × M, so having：
With reference to (9) formula, Wo Menyou：
Wherein circ (*) represents the circular matrix that first trip is *, evenThen C can be abbreviated
For C=circ (a0, a1... an-1) form,Represent M dot cycle convolution.We define the same of ptototype filter g and coordinate
It is divided into g0..., gk..., gK-1, wherein gk=[gk, gk+K..., gk+(M-1)K]T, ghH-th of same phase constituent for g, andIt is ghReflexed and to the right cycle move 1 gained sequence.And bySo
The signal of estimation can be expressed as：
It enablesyh=[yh, yh+K..., yh+K(M-1)]T, then have：
So have：
With reference to (13) formula, (16) formula can be write as：
So last estimation signal can be expressed as：
Due to being based on the openness MMSE receiver representations of matrix：
With reference to analysis above, we can be readily available：
Wherein, INFor the unit matrix of N × N, enableThen becauseSo have：
Due to using the technology described above, the present invention has the following advantages：
1st, the present invention joins together the two to form SM-GFDM systems, energy using spatial modulation and the technological merit of GFDM
The characteristics of multi-carrier nature of GFDM is enough utilized to improve the efficiency of transmission of spatial modulation, while can utilize spatial modulation, will
Antenna index carries a part of information, so as to improve the spectrum utilization efficiency of system.
2nd, the present invention using matrix openness system performance this characteristic of not influencing, it is proposed that it is openness based on matrix
MF, ZF, MMSE detection algorithm introduce normalized Discrete Fourier Transform block matrix, so as to maintain SM-GFDM system performances
Under the premise of reduce system entirety complexity.
Description of the drawings
In order to make the purpose of the present invention, technical solution and advantageous effect clearer, the present invention provides drawings described below and carries out
Explanation：
The association system block diagram of Fig. 1 present invention；
The GFDM transmitter illustratons of model that Fig. 2 present invention uses；
Fig. 3 MF receiver flow charts openness based on matrix proposed by the present invention；
Specific embodiment
The present invention utilizes the advantages of spatial modulation system and GFDM technologies, and the two is combined as SM-GFDM systems,
It realizes the multi-carrier transmission to spatial modulation system, while also utilizes GFDM technical characteristics, scattered frequency spectrum is used.It examines
Consider the complexity with reference to rear system, invent a kind of SM-GFDM system detection algorithm openness based on matrix, so as to maintain
System complexity is reduced under the premise of system performance.The specific implementation of the present invention is illustrated such as below in conjunction with attached drawing and specific example
Under.
1st, system model
Due in SM-OFDM systems, OFDM there is anti-carrier wave frequency deviation is weaker, peak-to-average force ratio is larger, out-of-band power leakage compared with
The problems such as serious, therefore it is contemplated that using the spatial modulation system of joint GFDM, SM-GFDM system model figures are as shown in Figure 1.
Binary data source s first passes around spatial modulation and carries out symbol mapping and select activation antenna index, modulates the signal come again
Carry out GFDM modulation, GFDM modulator models as shown in Fig. 2, spatial modulation signal first pass around be assigned to after serioparallel exchange it is each
Subcarrier, the up-sampling that the data symbol on each subcarrier carries out K times are operated, are filtered later using pulse shaping filter,
Then in re-modulation to each subcarrier, finally all sub-carriers are superimposed, SM-GFDM symbols are generated, via channel
It send to receiving terminal, in SM-GFDM system receiving terminals, receives signal and carry out GFDM demodulation first, thrown away and contained due to the signal demodulated
There is local channel ingredient, therefore suitable spatial modulation demodulating algorithm is selected to carry out space demodulation, recover original transmission ratio
Special sequence.
2nd, low complex degree SM-GFDM system detection algorithms
N is respectively configured in sending and receiving end in SM-GFDM systems considered belowtAnd NrRoot antenna, using MaryQAM modulation, in GFDM
Using K subcarrier in modulation, M timeslot number, then total hits N=KM, the ratio that can be transmitted due to spatial modulation part
Special number n=log2Mary+log2NtA bit, in spatial modulation module input data sourceIt will be compared according to space reflection table
Special sequence is mapped to constellation symbol and antenna index, wherein, it is to transmit 3bit information (i.e. the band efficiency of 3bit/s/Hz)
Example, space reflection table are as shown in table 1.
1 space reflection table of table
Fig. 3 be the present invention the MF transmitter flow chart openness based on matrix, as shown in the figure, the present invention based on matrix
Openness MF receiver algorithms include the following steps：
Step 1：Calculate diagonal matrix EkWith modulation matrix A, and circular matrix G is generated：
Spatial modulation symbol is generated after serioparallel exchangeWherein, dk=
[dk(0), dk(1) ..., dk(M-1)]T, then GFDM signals are generated after GFDM modulators：
Wherein,And xk=[xk(0), xk(1) ..., xk(M-1)]T, matrixFor modulation matrix,It is KM × KM diagonal matrix,K=0 ..., K-1, i.e.,G
It is the unit impulse response g=[g by ptototype filter0..., gn..., gN-1]TCarry out KM × M dimension squares that cyclic shift obtains
Battle array, thereforeThe wherein m of G (m=0,1 ..., M-1) row represent m-th
According to the impulse response of the pulse shaping filter on symbol.Assuming that channel is systems of quasi-static flat Rayleigh fading channels, then for spy
Reception signal phasor on fixed a pair of dual-mode antenna can be expressed as：
Y=Hx+n (23)
WhereinFor channel matrix,It is 0 for mean value, side
Difference isNoise signal vector.
In SM-GFDM systems, due to improving system in the best ML detection algorithms of spatial modulation end performance
Performance, therefore, present invention aims at the detection calculations for designing a kind of complexity that system is reduced under the premise of performance is not influenced
Method, based on this, the present invention proposes a kind of MF detection algorithm openness based on matrix.
Step 2：Calculate Fourier transform block matrix WNWith Γ=WNAHIt is openness：
Present invention definition is expressed as based on the openness MF receivers of matrix：
Wherein：WNIt is normalization Discrete Fourier Transform (DFT) block matrix of KM × KM dimension, is tieed up by K × K M × M
Submatrix Ωkl(k, l=0,1 ..., K-1) is formed, i.e.,
WhereinAndThereforeΓ=WNAH, Γ y can profit
It is calculated with the openness reduction of Γ, andIt can be calculated by FFT.
Because ΓHHave with Γ it is identical openness, therefore can directly to data advanced row frequency-domain transform (precoding)
EvenThen GFDM signals can be expressed as：
It defines in the present inventionWherein ΓkIt is the matrix of a M × KM, k=
0 ..., K-1 then have：
From (26) formula it will be seen that Γ is equivalent to receive GFDM Frequency Domain Solution of the signal after Fourier transform
Device is adjusted, and since the inner product of two complex exponential signals of different frequency is zero, i.e.,：
Wherein：M, n=0 ..., K-1, we can obtain：
The present invention defines h=(K-k) modK, then has：
WhereinFor diagonal matrix,
I.e.(29) formula is substituted into (28) formula, and we can obtain：
Therefore, with reference to ΨhExpression formula, we can obtain ΓkIn only M2A nonzero element, these nonzero element institutes
H, h+K ..., h+ (M-1) K are being classified as, remaining row is all zero.So Γ shares KM2A nonzero element, therefore Γ=WNAHHave
It is openness.Formula (24) is realized according to based on the openness MF receivers of matrix, acquires estimation signal
Step 3：It is openness using matrix based on above analysis, it solves and letter is estimated based on the openness ZF receivers of matrix
Number
Due to being based on the openness ZF receiver expressions of matrix：
We need analysis matrix AHThe characteristic of A.By GFDM modulation matrixs definition we be easy to：
BecauseIt enablesThen there are D=diag { [D0..., Dk..., DK-1]}
It is the block diagonal matrix of a KM × KM, DkIt is the matrix of a M × M, so having：
With reference to (30) formula, Wo Menyou：
Wherein circ (*) represents the circular matrix that first trip is *, evenThen C can be abbreviated
For C=circ (a0, a1... an-1) form,Represent M dot cycle convolution.We define the same of ptototype filter g and coordinate
It is divided into g0..., gk..., gK-1, wherein gk=[gk, gk+K..., gk+(M-1)K]T, ghH-th of same phase constituent for g, andIt is ghReflexed and to the right cycle move 1 gained sequence.And bySo
The signal of estimation can be expressed as：
It enablesyh=[yh, yh+x..., yh+K(M-1)]T, then have：
So have：
With reference to (34) formula, (37) formula can be write as：
So last estimation signal can be expressed as：
Step 4：It is openness using matrix with reference to above analysis, it solves based on the openness MMSE receivers estimation of matrix
Signal
The present invention is defined based on the openness MMSE receiver representations of matrix：
With reference to analysis above, we can be readily available：
Wherein, INFor the unit matrix of N × N, enableThen becauseSo have：
So far, it has just obtained based on openness MF, ZF, MMSE detection scheme of matrix.
In conclusion the advantages of this programme is intended to using spatial modulation with GFDM systems, by space-modulation technique and GFDM
Technology is combined as SM-GFDM systems, using the openness performance for not influencing system of matrix, but can reduce calculating
Complexity this characteristic, propose based on openness MF, ZF, MMSE detection scheme of matrix, to maintain the preferable performance of system
Under the premise of reduce system overall complexity.The program can not only overcome that the anti-carrier wave frequency deviation of SM-OFDM systems is weaker, peak is equal
Bigger, out-of-band power is revealed the problems such as more serious, while GFDM features can be utilized to improve the utilization ratio of frequency spectrum resource,
It cannot can overcome the problems, such as to interfere between MIMO-GFDM system antennas, while the location information of antenna can be utilized, by day clue
Draw and carry a part of information, to improve information transfer efficiency, for following 5G frequency spectrum resources anxiety, certain delay can be obtained
Solution, becomes one of following 5G candidate modulation schemes.
Claims (6)
1. a kind of SM-GFDM systems with low complex degree detection algorithm, which is characterized in that as the 5G candidate's waves for relatively having potentiality
The GFDM technologies of one of shape, with OFDM (Orthogonal Frequency Division Multiplexing, orthogonal frequency division multiplexing
With) system compares, it overcomes existing inter-sub-carrier interference and lacks with outward leakage is high, synchronous requirement is stringent, flexibility ratio is low etc.
Point；On the other hand, spatial modulation is as a kind of completely new MIMO transmission technology, while efficiency of transmission and performance is kept, energy
The complexity and hardware spending of multiaerial system are enough reduced, spatial modulation can be transmitted by the use of the state of activation of antenna as information
Carrier, effectively simplify interchannel interference in traditional MIMO scheme, between antenna the problems such as synchronous and radio frequency cost, and
And spatial modulation applies also for extensive, the asymmetric mimo channel of uplink downlink number of antennas, therefore, spatial modulation is one
The completely new physical layer Radio Transmission Technology of kind, can dexterously combine digital modulation, coding and multiple antennas, to take into account height
Transmission rate and low complex degree physics realization, spatial modulation with GFDM technologies is combined, establishes SM-GFDM system moulds
Type can improve spatial modulation efficiency of transmission so that utilize effective frequency band to a greater extent using the multi-carrier nature of GFDM
Resource.
A kind of 2. SM-GFDM systems with low complex degree detection algorithm according to claim 1, which is characterized in that root
According to spatial modulation system principle, a day clue will be carried out respectively according to space reflection table after binary bit sequence progress serioparallel exchange
Draw selection and constellation modulation；After GFDM technologies, since GFDM principles are that data flow is carried out GFDM tune after QAM maps
System, therefore the QAM of GFDM modulated terminals can be mapped and replace with spatial modulation, so as to be combined into SM-GFDM systems.
3. a kind of SM-GFDM systems with low complex degree detection algorithm according to claim 1, which is characterized in that
SM-GFDM system receiving terminals, it is contemplated that SM-GFDM is compared with SM-OFDM systems, due to the nonorthogonality of GFDM, in performance
It is declined slightly, in order to maintain systematic entirety energy, the best Maximum Likelihood Detection of performance is considered as in spatial modulation receiving terminal,
Under the premise of herein, using the openness performance for not influencing system of matrix, but the complexity in calculating process can be reduced, this
Invention proposes a kind of MF, ZF, MMSE detection algorithm openness based on matrix, to reduce the complexity of system entirety.
A kind of 4. SM-GFDM systems with low complex degree detection algorithm according to claim 1, which is characterized in that profit
With the characteristic of Fourier transform, present invention definition normalization Discrete Fourier Transform block matrix WN, and by itself and modulation matrix AHPhase
Multiply, so as to result Γ=W after being multipliedNAHIt is openness, final MF receiver modules just utilize Γ openness reduction
N is configured for SM-GFDM systems transmitting terminals in the computation complexity of system detectiotRoot antenna, receiving terminal configuration NrRoot antenna, is adopted
Use MaryQAM modulation, using K subcarrier in GFDM modulation, the SM-GFDM systems of M timeslot number, definition one of the invention is right
Angular moment battle arrayAndObtain kth (k in Γ
=0 ..., K-1) a subcarrier is correspondingWherein h=(K-k) modK, obtains ΓkIn only M2A non-zero entry
Element, these nonzero elements place are classified as h, and h+K ..., h+ (M-1) K, remaining row is all zero, so Γ shares KM2A non-zero entry
Element, therefore Γ=WNAHWith openness, so as to obtain the sparse inspection of the relatively low MF receiver openness based on matrix of complexity
It surveys.
A kind of 5. SM-GFDM systems with low complex degree detection algorithm according to claim 1, which is characterized in that profit
With normalization Discrete Fourier Transform block matrix WNAnd obtained Γ's is openness, the present invention defines KM × KM and ties up block to angular moment
Battle array D=diag { [D0..., Dk..., DK-1], wherein DkIt is the matrix of M × M dimension, so as to which we obtainIt is the form of a circular matrix, with reference to the definition of modulation matrix A, we are based on
The openness ZF receiver modules of matrix areThereforeMatrix can be utilized
It is openness to be calculated.
6. a kind of SM-GFDM systems with low complex degree detection algorithm according to claim 1, which is characterized in that by
It is related with the variance of noise in MMSE detection algorithms, since channel is time-varying, it is therefore desirable to be calculated in real time, with reference to normalizing
Change Discrete Fourier Transform block matrix WNDefinition and block diagonal matrix D definition, can obtainTherefore
With reference to the expression formula that MMSE is detected, the MMSE detection algorithm openness based on matrix of the invention can be expressed asTherefore, using the openness of matrix, the MMSE detection schemes of low complex degree have just been obtained.
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Cited By (5)
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| CN109039414A (en) * | 2018-08-20 | 2018-12-18 | 西北工业大学 | A kind of spatial polarizations modulator approach of spectral efficient |
| CN109150277A (en) * | 2018-07-31 | 2019-01-04 | 重庆邮电大学 | A kind of large-scale and multiple users signal detecting method based on proximal end gradient algorithm |
| CN109217954A (en) * | 2018-10-11 | 2019-01-15 | 西北工业大学 | Low complex degree OSDM block balance method based on double selection fading channels |
| CN109302240A (en) * | 2018-10-11 | 2019-02-01 | 西北工业大学 | The serial equalization methods of low complex degree OSDM based on double selection fading channels |
| WO2020009668A1 (en) * | 2018-07-03 | 2020-01-09 | Istanbul Teknik Universitesi | A generalized frequency division multiplexing method with multiple-input multiple-output and flexible index modulation |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109150277A (en) * | 2018-07-31 | 2019-01-04 | 重庆邮电大学 | A kind of large-scale and multiple users signal detecting method based on proximal end gradient algorithm |
| CN109150277B (en) * | 2018-07-31 | 2021-09-10 | 重庆邮电大学 | Large-scale multi-user signal detection method based on near-end gradient algorithm |
| CN109039414A (en) * | 2018-08-20 | 2018-12-18 | 西北工业大学 | A kind of spatial polarizations modulator approach of spectral efficient |
| CN109217954A (en) * | 2018-10-11 | 2019-01-15 | 西北工业大学 | Low complex degree OSDM block balance method based on double selection fading channels |
| CN109302240A (en) * | 2018-10-11 | 2019-02-01 | 西北工业大学 | The serial equalization methods of low complex degree OSDM based on double selection fading channels |
| CN109217954B (en) * | 2018-10-11 | 2021-01-05 | 西北工业大学 | Low-complexity OSDM block equalization method based on double selective fading channels |
| CN109302240B (en) * | 2018-10-11 | 2021-03-23 | 西北工业大学 | Low-complexity OSDM serial equalization method based on double selective fading channels |
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