CN109167649A - A kind of GSM-MBM system low complex degree detection method - Google Patents

A kind of GSM-MBM system low complex degree detection method Download PDF

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CN109167649A
CN109167649A CN201811060486.2A CN201811060486A CN109167649A CN 109167649 A CN109167649 A CN 109167649A CN 201811060486 A CN201811060486 A CN 201811060486A CN 109167649 A CN109167649 A CN 109167649A
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金宁
宋伟婧
金小萍
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China Jiliang University
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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
    • H04L1/0045—Arrangements at the receiver end
    • H04L1/0054—Maximum-likelihood or sequential decoding, e.g. Viterbi, Fano, ZJ algorithms
    • 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
    • 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
    • H04L1/0045—Arrangements at the receiver end
    • H04L1/0047—Decoding adapted to other signal detection operation
    • H04L1/0048—Decoding adapted to other signal detection operation in conjunction with detection of multiuser or interfering signals, e.g. iteration between CDMA or MIMO detector and FEC decoder
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/32—Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34—Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/345—Modifications of the signal space to allow the transmission of additional information
    • H04L27/3461—Modifications of the signal space to allow the transmission of additional information in order to transmit a subchannel
    • H04L27/3483—Modifications of the signal space to allow the transmission of additional information in order to transmit a subchannel using a modulation of the constellation points

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  • Computer Networks & Wireless Communication (AREA)
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Abstract

The complexity and activation antenna, mirror image activation pattern (MAP) and order of modulation exponentially grade of generalized space modulation (GSM-MBM) system receiving terminal maximum likelihood (ML) detection algorithm based on medium modulation increase.For this problem, the invention proposes a kind of GSM-MBM system low complex degree detection methods, this method is the low complex degree detection method (ASVD-DOD) based on self-adapting signal vector sum distance-taxis thought, the antenna sequence sets of activation are obtained using sort method, according to the MAP candidate value of the probability of error threshold adaptive of definition search activation, and restore the corresponding modulation symbol of candidate MAP using DOD algorithm, realize the joint-detection of MAP and modulation symbol.Simulation result shows the GSM-MBM system that ASVD-DOD algorithm of the present invention and ML algorithm are applied to same parameter, and the error performance of ASVD-DOD algorithm is close with ML algorithm, but its computation complexity at least reduces 90% compared to the complexity of ML algorithm.

Description

A kind of GSM-MBM system low complex degree detection method
Technical field
The present invention relates to field of communication technology more particularly to the signal detecting methods of wireless connection system receiving end, specifically It is a kind of GSM-MBM system low complex degree detection method that ground, which is said,.
Background technique
Medium index modulation (MBM, media based modulation) is expected to become as the antenna technology newly proposed One of the key technology of 5G communication system.With traditional phase-shift keying (PSK) (PSK, phase shift keying), orthogonal amplitude tune Differences such as (QAM, quadrature amplitude modulation) are made, the core concept of medium modulation is will to send information Included in transmission medium, i.e., different messages are sent using the randomness of channel and independence.All transmission channels will map As planisphere is received, the size for receiving planisphere dimension can be increased under the premise of not increasing transmitting energy consumption, improving frequency Have in spectrum utilization rate and saving energy consumption and has great advantage.
MBM single input and multi-output (SIMO-MBM, the single input for thering is document report to use RF mirror as scatterer Multiple output-media based modulation) model.Spectrum efficiency increases than traditional SIMO system, But the RF mirror quantity that individual antenna can be used is conditional.Researcher proposes the spatial modulation modulated based on medium (SMBM, spatial modulation-media based modulation), it is by spatial modulation (SM, spatial Modulation it) is combined with MBM, is indexed transmitting antenna simultaneously with RF mirror, further improves spectrum efficiency and system Transmission rate.But the spatial multiplexing gain of SM technology and transmitting antenna number count relationship in pairs, and efficiency of transmission is not high.Study people Member proposes the generalized space based on medium modulation and modulates (GSM-MBM, generalized spatial modulation- media based modulation).The outstanding feature of GSM is to have expanded the spatial domain concept of SM, is changed by the more days that are activated The combination of line constitutes space constellation point.Therefore, when configuring equal number of transmitting antenna, GSM-MBM system tends to obtain Spectrum efficiency more higher than SMBM system.However, with activation antenna and selectable mirror image activation pattern (MAP, mirror Activation pattern) increase, the rising of the complexity index grade of receiving end so that the device is complicated degree and cost all increase Add.There is presently no documents to be studied specifically in the problem.
Summary of the invention
In view of the above-mentioned deficiencies in the prior art, it is an object of the present invention to which the present invention proposes a kind of GSM-MBM system low complex degree Detection method, this method are a kind of low complex degree detection methods based on self-adapting signal vector sum distance-taxis thought (ASVD-DOD,adaptive signal vector based detection-distance based ordered detection).This method turns the joint-detection in traditional maximum likelihood (ML, maximum likelihood) detection algorithm It is melted into transmitting antenna activation sequence collection, the MAP index value of activation, modulation symbol three parts separate detection.First with sequence side Method obtains the antenna sequence sets of activation, sequentially for each transmitting antenna of the set, according to the probability of error threshold value of setting Then adaptively selected multiple MAP carry out the compensation of fading channel as candidate pattern to received vector, European based on signal Range recovery corresponds to the QAM/PSK symbol of each candidate's MAP state.Finally, by each candidate's MAP mode and its corresponding QAM/PSK symbol joint-detection.Simulation result show ASVD-DOD detection algorithm performance loss allow in the range of, Search space is reduced, receiving end detection complexity is reduced.
Specifically comprise the following steps:
1) the GSM-MBM system has NtRoot transmitting antenna, NrRoot receiving antenna, each gap activation NaRoot emits day Line.There is m around every antennarfA RF mirror controls the on or off of RF mirror by input bit ' 1 ' or ' 0 ', to disturb hair respectively Transmission environment near antennas is randomized wireless channel, and then changes entire transmission path.Therefore, for an antenna, It can be by neighbouring mrfA RF mirror generatesKind channel status, and by mrfA information bit controls a kind of switch of RF mirror State is called " mirror image activation pattern " (mirror activation pattern, MAP).From figure 1 it appears that information ratio Spy is transmitted by three kinds of modes: a) from NtN is selected in a transmitting antennaaIt is a to be used to transmitInformation, whereinIt indicates from NtN is activated in a transmitting antennaaA number of combinations, 1≤Na< Nt,It indicates to be rounded downwards,Indicate binomial Formula coefficient；B) m in the transmitting antenna of each activationrfThe open/close state of a RF mirror is by mrfThe control of bit information bit, Yi Gongke To transmit NamrfBits information；C) transmitting antenna of each activation sends modulation symbol (M-ary QAM or PSK), transmits altogether Nalog2Mbits information.Emit vector after Rayleigh channel, the information that receiving end receives is
Y=Hx+n (1)
Wherein,It is received vector,It is channel matrix,It is Gaussian noise matrix, Element obey mean value be 0, variance σ2Multiple Gauss distribution；For GSM-MBM modulated terminal generate transmission vector, General type is
Wherein si,sj∈ S expression MPSK modulation symbol, and si,sjPosition m in x vector, the aerial position of n and activation It is related, respectively indicate activation m, n root antenna, 1≤m≤Nt, 1≤n≤Nt；L, k then indicate that m, n root antenna activate respectively L, k MAP, 1≤l≤Nm, 1≤k≤Nm；The number of non-zero symbol is N in x vectora。
2) channel matrix H of GSM-MBM system is expressed as Indicate j-th of transmitting antenna to the channel matrix of receiving antenna, wherein j ∈ { 1,2 ..., Nt}.X is divided into NtGroup, every group of vector xjThere is NmA element.The received vector of j-th of transmitting antenna can indicate are as follows:
yj=Hjxj+nj (3)
Received vector under GSM-MBM system can indicate are as follows:
Assuming that the transmitting antenna sequence sets of activation are expressed as Γ in certain time slot1, remaining unactivated transmitting antenna sequence note Make Γ2, wherein Γ1,Γ2It is the subset of Ω, Ω=1,2 ..., Nt}.As j ∈ Γ1, yj=Hjxj+nj；As j ∈ Γ2, yj= nj.And then have
wj=norm (yj) (5)
By to yjNorm value wjCarry out descending arrangement, preceding NaIt is a to be worth the transmitting antenna that corresponding index value j is activation Sequence number.
3) for j-th of transmitting antenna, since each transmitting antenna nearby has mrfA RF mirror, can create NmA MAP mode, Then the channel matrix of j-th of antenna is represented by Indicate HjThe kth of matrix arranges, The kth kind MAP state of i.e. j-th transmitting antenna.Because j-th of transmitting antenna is only from NmOne kind is selected in a MAP mode, then Formula (1) can be write as
WhereinIt indicates to pass through j-th of transmitting antenna, the modulation symbol that k-th of MAP of activation is transmitted.
For the transmitting antenna of each activation, corresponding MAP index value is detected with svd algorithm.Basic ideas are to ignore Under noise conditions, the consistent characteristic in direction of channel vector that received vector has and activates, and under conditions of considering noise, The direction of received vector is also near the direction of the channel vector of activation.In this regard, can be indicated with following formula
msvd=arg maxG (k), k ∈ 1,2 ..., Nm} (7)
WhereinIt indicatesWith yjBetween correlation, msvdAs examined using svd algorithm Measure the activation MAP element with state index come.
However it is poor in channel condition, when noise is relatively low, the performance of detection algorithm is poor, proposes a kind of modified thus SVD detection algorithm, i.e. ASVD algorithm.
Assuming that k-th of MAP of activation, for any k ≠ msvd, definitionThen Probability of happening be
Wherein,ρ is signal-to-noise ratio,
DescriptionWithIt Between related coefficient square.One probability threshold value P is set to Pth, for any k ≠ msvd, when Not less than PthWhen, k-th of MAP is considered as a candidate MAP by us, then
Wherein, ζth=Q-1(Pth), above formula can be obtained by arrangement
It is available by above formula
Then MAP Candidate Set LasvdIncluding msvdAnd meet the index value of the MAP state of formula (11) and (12).
Modulation symbol is detected using DOD detection algorithm, which is a kind of Sequence Detection based on signal Euclidean distance Method.The compensation of fading channel is carried out to received vector first, i.e., will receive signal yjPremultiplicationIt can obtain and candidate MAP pairs The estimated value for the modulation symbol answered, then does demodulation process for the estimate symbol being calculated, that is, has found and accord with practical send Number apart from nearest modulation constellation points, it is shown below
Wherein,D () indicates demodulation；Again from LasvdA candidate's MAP mode utilizes formula (14) Find out best MAP index value
Wherein,For the MAP index of j-th of transmitting antenna activation.
It advantages of the present invention and has the beneficial effect that
The present invention provides a kind of detection method new based on GSM-MBM system, the error performances and ML algorithm of this method It is close, but its computation complexity at least reduces 90% compared to the complexity of ML algorithm, there is fabulous theoretical and practical significance.
Detailed description of the invention
Fig. 1 is GSM-MBM system transmitting terminal block diagram；
Fig. 2 is according to ASVD-DOD detection method proposed by the present invention and conventional ML algorithm, SVD-DOD algorithm in difference BER performance comparison schematic diagram under order of modulation, wherein SVD-DOD algorithm refers to that svd algorithm (corresponding formula (7)) and DOD are calculated The combination of method；
Fig. 3 is Nt=4, Nr=4, Na=2, NmASVD-DOD algorithm, ML algorithm, SVD- under different modulating order when=8 The complexity contrast schematic diagram of DOD algorithm；
Fig. 4 is Nt=4, Nr=4, NaDifference MAP several lower ASVD-DOD algorithms, ML algorithm, SVD-DOD when=2, M=16 The complexity contrast schematic diagram of algorithm.
Specific embodiment
A kind of GSM-MBM system low complex degree detection method (ASVD-DOD) that the present invention uses are as follows: first with sequence Method obtains the antenna sequence sets of activation, sequentially for each transmitting antenna of the set, according to the probability of error threshold of setting It is worth adaptively selected multiple MAP as candidate pattern, the compensation of fading channel is then carried out to received vector, it is European based on signal Range recovery corresponds to the QAM/PSK symbol of each candidate's MAP state.Finally, by each candidate's MAP mode and its corresponding QAM/PSK symbol joint-detection.
1) the GSM-MBM system has NtRoot transmitting antenna, NrRoot receiving antenna has m around every antennarfA RF Mirror, each gap activation NaRoot transmitting antenna is modulated using M-ary PSK.Receiving matrix is
Y=Hx+n (1)
Wherein,It is received vector,It is channel matrix,It is Gaussian noise matrix, Element obey mean value be 0, variance σ2Multiple Gauss distribution.For GSM-MBM modulated terminal generate transmission vector, General type is
Wherein si,sj∈ S expression MPSK modulation symbol, and si,sjPosition m in x vector, the aerial position of n and activation It is related, respectively indicate activation m, n root antenna, 1≤m≤Nt, 1≤n≤Nt；L, k then indicate that m, n root antenna activate respectively L, k MAP, 1≤l≤Nm, 1≤k≤Nm；The number of non-zero symbol is N in x vectora。
2) channel matrix H of GSM-MBM system is represented by Indicate j-th of transmitting antenna to the channel matrix of receiving antenna, wherein j ∈ { 1,2 ..., Nt}.X is divided into NtGroup, every group of vector xjThere is NmA element.The received vector of j-th of transmitting antenna can indicate are as follows:
yj=Hjxj+nj (3)
Received vector under GSM-MBM system can indicate are as follows:
Assuming that the transmitting antenna sequence sets of activation are expressed as Γ in certain time slot1, remaining unactivated transmitting antenna sequence note Make Γ2, wherein Γ1,Γ2It is the subset of Ω, Ω=1,2 ..., Nt}.As j ∈ Γ1, yj=Hjxj+nj；As j ∈ Γ2, yj= nj.And then have
wj=norm (yj) (5)
By to yjNorm value wjCarry out descending arrangement, preceding NaIt is a to be worth the transmitting antenna that corresponding index value j is activation Sequence number.
3) for j-th of transmitting antenna, since each transmitting antenna nearby has mrfA RF mirror, can create NmA MAP mode, Then the channel matrix of j-th of antenna is represented by Indicate HjThe kth of matrix arranges, The kth kind MAP state of i.e. j-th transmitting antenna.Because j-th of transmitting antenna is only from NmOne kind is selected in a MAP mode, then Formula (1) can be write as
WhereinIt indicates to pass through j-th of transmitting antenna, the modulation symbol that k-th of MAP of activation is transmitted.
For the transmitting antenna of each activation, corresponding MAP index value is detected with svd algorithm.Basic ideas are to ignore Under noise conditions, the consistent characteristic in direction of channel vector that received vector has and activates, and under conditions of considering noise, The direction of received vector is also near the direction of the channel vector of activation.In this regard, can be indicated with following formula
msvd=arg maxG (k), k ∈ 1,2 ..., Nm} (7)
WhereinIt indicatesWith yjBetween correlation, msvdAs detected using svd algorithm Activation MAP element with state index out.
However it is poor in channel condition, when noise is relatively low, the performance of detection algorithm is poor, proposes a kind of modified thus SVD detection algorithm, i.e. ASVD algorithm.
Assuming that k-th of MAP of activation, for any k ≠ msvd, definitionThen Probability of happening be
Wherein,ρ is signal-to-noise ratio,
DescriptionWithIt Between related coefficient square.One probability threshold value P is set to Pth, for any k ≠ msvd, when Not less than PthWhen, k-th of MAP is considered as a candidate MAP by us, then
Wherein, ζth=Q-1(Pth), above formula can be obtained by arrangement
It is available by above formula
Then MAP Candidate Set LasvdIncluding msvdAnd meet the index value of the MAP state of formula (11) and (12).
Modulation symbol is detected using DOD detection algorithm, which is a kind of Sequence Detection based on signal Euclidean distance Method.The compensation of fading channel is carried out to received vector first, i.e., will receive signal yjPremultiplicationIt can obtain and candidate MAP pairs The estimated value for the modulation symbol answered, then does demodulation process for the estimate symbol being calculated, that is, has found and accord with practical send Number apart from nearest modulation constellation points, it is shown below
Wherein,D () indicates demodulation；Again from LasvdA candidate's MAP mode utilizes formula (14) Find out best MAP index value
Wherein,For the MAP index of j-th of transmitting antenna activation.
Specific embodiments of the present invention are described in detail below in conjunction with attached drawing.
It can be observed from fig. 2 that the bit error rate performance of ASVD-DOD algorithm is better than SVD-DOD algorithm, and it is similar to ML calculation Method, and the performance of low-order-modulated mode is better than high-order modulating.This is because ASVD-DOD algorithm can be according to channel circumstance The adaptively selected candidate's MAP state of activation index value of variation, so close with ML algorithm performance, and SVD-DOD algorithm can only A kind of MAP state of activation value is selected, performance has certain loss when detecting, and in addition low-order-modulated mode anti-interference ability is wanted Due to high order modulation.
Fig. 3 gives that transmission antenna is 4, receiving antenna is 4, activation antenna number is 2, mirror image activation pattern is 8 When a, the computation complexity of three kinds of detection algorithms.It can be seen that the computation complexity of Maximum Likelihood Detection is with modulation order Number, complexity are higher.ASVD algorithm and svd algorithm are detected due to using the estimation of modulation symbol, complexity and order of modulation It is unrelated.
Fig. 4 give transmission antenna be 4, receiving antenna is 4, activation antenna number is 2, modulation system 16PSK when, The computation complexity of three kinds of detection algorithms.From the figures it is clear that as MAP number increases, the complexity of ML algorithm From 105Drastically increase to 3 × 107, this is because the search space of ML algorithm is with MAP several exponential increase.And ASVD_DOD and The complexity of SVD-DOD algorithm is with MAP several linear increment.
Table 1 be according to GSM-MSB system low complex degree detection method ASVD-DOD algorithm proposed by the present invention and ML algorithm, SVD-DOD algorithm complexity contrast table；
1 analysis of complexity table of table
Specific embodiments of the present invention are described in detail above in conjunction with attached drawing, but the invention is not limited to above-mentioned Embodiment, in the spirit and scope for not departing from claims hereof, those skilled in the art can make various Modification or remodeling.

Claims (2)

1. a kind of GSM-MBM system low complex degree detection method, which comprises the following steps:
The antenna sequence sets that activation is obtained first with sort method, sequentially for each transmitting antenna of the set, according to The probability of error threshold adaptive of setting selects multiple MAP as candidate pattern, then carries out fading channel to received vector Compensation restores the QAM/PSK symbol for corresponding to each candidate's MAP state based on signal Euclidean distance, finally by each candidate MAP Mode and its corresponding QAM/PSK symbol joint-detection.
2. GSM-MBM system low complex degree detection method according to claim 1, which is characterized in that specific steps include:
1) the GSM-MBM system has NtRoot transmitting antenna, NrRoot receiving antenna has m around every antennarfA RF mirror generatesKind channel status, each gap activation NaRoot transmitting antenna is modulated using M-ary PSK；
Receiving matrix is
Y=Hx+n (1)
Wherein,It is received vector,It is channel matrix,It is Gaussian noise matrix, yuan white clothing From mean value be 0, variance σ2Multiple Gauss distribution；For the transmission vector that GSM-MBM modulated terminal generates, general shape Formula is
Wherein si,sj∈ S expression MPSK modulation symbol, and si,sjPosition m in x vector, n is related with the aerial position of activation, Respectively indicate activation m, n root antenna, 1≤m≤Nt, 1≤n≤Nt；L, k then indicate that m, n root antenna activate l respectively, and k is a MAP, 1≤l≤Nm, 1≤k≤Nm；The number of non-zero symbol is N in x vectora。
2) channel matrix H of GSM-MBM system is expressed as Table Show j-th of transmitting antenna to the channel matrix of receiving antenna, wherein j ∈ { 1,2 ..., Nt, x is divided into NtGroup, every group of vector xj There is NmThe received vector of a element, j-th of transmitting antenna can indicate are as follows:
yj=Hjxj+nj (3)
Received vector under GSM-MBM system can indicate are as follows:
Assuming that the transmitting antenna sequence sets of activation are expressed as Γ in certain time slot1, remaining unactivated transmitting antenna sequence is denoted as Γ2, wherein Γ1,Γ2It is the subset of Ω, Ω=1,2 ..., Nt, as j ∈ Γ1, yj=Hjxj+nj；As j ∈ Γ2, yj=nj, And then have
wj=norm (yj) (5)
By to yjNorm value wjCarry out descending arrangement, preceding NaIt is a to be worth the transmitting antenna sequence that corresponding index value j is activation Number.
3) for j-th of transmitting antenna, since each transmitting antenna nearby has mrfA RF mirror, can create NmA MAP mode, then The channel matrix of j antenna is represented by Indicate HjThe kth of matrix arranges, i.e., and the The kth kind MAP state of j transmitting antenna, because j-th of transmitting antenna is only from NmOne kind is selected in a MAP mode, then formula (1) it can be write as
WhereinIt indicates to pass through j-th of transmitting antenna, the modulation symbol that k-th of MAP of activation is transmitted；
For the transmitting antenna of each activation, corresponding MAP index value is detected with svd algorithm, is indicated with following formula
msvd=argmaxG (k), k ∈ 1,2 ..., Nm} (7)
WhereinIt indicatesWith yjBetween correlation, msvdAs detected using svd algorithm The activation MAP element with state index come.
Assuming that k-th of MAP of activation, for any k ≠ msvd, definitionThenHair Giving birth to probability is
Wherein,ρ is signal-to-noise ratio, DescriptionWithBetween related coefficient square, to P set a probability threshold value Pth, for appointing Anticipate k ≠ msvd, whenNot less than PthWhen, k-th of MAP is considered as a candidate MAP, then
Wherein, ζth=Q-1(Pth), above formula can be obtained by arrangement
It is available by above formula
Then MAP Candidate Set LasvdIncluding msvdAnd meet the index value of the MAP state of formula (11) and (12)；
4) modulation symbol is detected using DOD detection algorithm, carries out the compensation of fading channel to received vector first, i.e., will receive Signal yjPremultiplicationThe estimated value that modulation symbol corresponding with candidate MAP can be obtained, then does the estimate symbol being calculated Demodulation process has found and sends the nearest modulation constellation points of symbolic distance with practical, is shown below
Wherein,D () indicates demodulation；Again from LasvdA candidate's MAP mode is found out most using formula (14) Good MAP index value
Wherein,For the MAP index of j-th of transmitting antenna activation.
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CN112636803A (en) * 2020-12-24 2021-04-09 电子科技大学 Modified vector disturbance soft demodulation method
CN113660021A (en) * 2021-08-18 2021-11-16 电子科技大学 Low-complexity antenna selection method in offset spatial modulation
CN113660021B (en) * 2021-08-18 2023-03-03 电子科技大学 Low-complexity antenna selection method in offset spatial modulation

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