CN106911374A - A kind of low complexity soft exports spatial modulation detection method - Google Patents

A kind of low complexity soft exports spatial modulation detection method Download PDF

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CN106911374A
CN106911374A CN201710032670.5A CN201710032670A CN106911374A CN 106911374 A CN106911374 A CN 106911374A CN 201710032670 A CN201710032670 A CN 201710032670A CN 106911374 A CN106911374 A CN 106911374A
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antenna
symbol
modulation
formula
transmission
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CN106911374B (en
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李国权
王增祥
林金朝
向国勇
徐勇军
庞宇
周前能
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Chongqing University of Post and Telecommunications
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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
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0636—Feedback format
    • H04B7/0639—Using selective indices, e.g. of a codebook, e.g. pre-distortion matrix index [PMI] or for beam selection
    • 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
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0621—Feedback content
    • H04B7/0634—Antenna weights or vector/matrix coefficients
    • 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
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0652—Feedback error handling
    • 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
    • H04B7/06—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0658—Feedback reduction
    • H04B7/0663—Feedback reduction using vector or matrix manipulations
    • 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
    • H04B7/08—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0837—Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station using pre-detection combining
    • H04B7/0842—Weighted combining
    • H04B7/0848—Joint weighting
    • H04B7/0854—Joint weighting using error minimizing algorithms, e.g. minimum mean squared error [MMSE], "cross-correlation" or matrix inversion
    • 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
    • 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
    • H04L27/3405—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power
    • H04L27/3416—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power in which the information is carried by both the individual signal points and the subset to which the individual points belong, e.g. using coset coding, lattice coding, or related schemes
    • H04L27/3427—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power in which the information is carried by both the individual signal points and the subset to which the individual points belong, e.g. using coset coding, lattice coding, or related schemes in which the constellation is the n - fold Cartesian product of a single underlying two-dimensional constellation
    • H04L27/3433—Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power in which the information is carried by both the individual signal points and the subset to which the individual points belong, e.g. using coset coding, lattice coding, or related schemes in which the constellation is the n - fold Cartesian product of a single underlying two-dimensional constellation using an underlying square constellation

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Abstract

The present invention is claimed a kind of soft output spatial modulation detection method of low complex degree.The method will receive signal phasor y and be mapped to channel vector h first against each possible transmitting antenna sequence number llDirection obtainsThen according to constellation feature generating quantification formula pairCarry out quantifying to obtain the corresponding most probable transmission sign estimations of each possible transmitting antenna index lRecycle hlWithCalculate each antenna symbol pairMetric dl, and then to allAccording to dlIt is ranked up, and therefrom selects dlP minimum antenna symbol pairCome the bit log likelihood ratio for calculating transmission antenna sequence number and sending symbol, the soft output detection of the log-likelihood ratio form of spatial modulation is realized.Antenna serial number and the symbol quantity for needing to consider when bit log likelihood ratio is calculated are the method reduce, the complexity of space-modulation technique receiving terminal detection algorithm is greatly reduced.By selecting small p value, the complexity of soft output detection can also be further reduced on the basis of a little performance is sacrificed.

Description

A kind of low complexity soft exports spatial modulation detection method
Technical field
The present invention relates to communication technical field, multiple-input and multiple-output (Multiple-Input Multiple- are especially belonged to Output, abbreviation MIMO) receiving end signal inspection in spatial modulation (Spatial Modulation, abbreviation SM) technology in system The soft output spatial modulation detection method of method of determining and calculating, particularly low complex degree.
Background technology
Spatial modulation is a kind of new MIMO transmission technology, and the MIMO technology with routine is different, and SM technologies are being launched every time Only common antenna is active during information, and an information bit part to be sent is used for doing the mapping of baseband modulation symbol, Another part is then used for the sequence number for selecting to activate antenna.While efficiency of transmission is ensured, SM technologies only need to single radio frequency chain Road, reduces the complexity and cost overhead of mimo system, also avoids day line locking, interchannel interference in mimo system simultaneously The problems such as.
SM is according to maximum likelihood (Maximum Likelihood, abbreviation ML) detection algorithm[1]Optimal inspection can be obtained Performance is surveyed, but with detection complexity higher.Therefore, the research of SM detection methods is concentrated mainly on and ensures the same of preferable performance When reduce detection complexity aspect[2-4].Additionally, in order to lift communication system overall performance, often using based on soft bit letter The channel decoding method of breath, thus it requires SM exports soft bit information when detecting[5-7].Matching matrix[2][3]Detected relative to ML Algorithm can have relatively low complexity while obtaining compared with dominance energy, but when order of modulation is higher, complexity is still higher. A kind of spatial modulation system of the document [4] for PSK constellations, it is proposed that low complex degree detection method unrelated with order of modulation, But the method is not particularly suited for other constellation types such as QAM, Soft Inform ation can not be exported and realize soft output detection.Document [5- 6] soft output SM detection algorithms are proposed respectively, and document [7] is improved on the basis of them, but in order to reduce complexity Degree, it is necessary first to calculate customized distance metric, although ML hunting zones can be reduced, but still need weight when ML is detected It is new to calculate Euclidean distance.On the whole, current SM detection algorithms still have certain limitation, the sky of particularly soft output Between modulation detection algorithm, complexity is still higher.
[1]Renzo M D,Haas H.Performance analysis of Spatial Modulation[C]// 5th International ICST Conference on Communications and Networking in China, Beijing,2010,pp.1-7.
[2]Sugiura S,Xu C,Ng S X,et al.Reduced-Complexity Coherent Versus Non-Coherent QAM-Aided Space-Time Shift Keying[J].IEEE Transactions on Communications,2011,59(11):3090-3101.
[3]Yang P,Xiao Y,Li L,et al.An Improved Matched-Filter Based Detection Algorithm for Space-Time Shift Keying Systems[J].IEEE Signal Processing Letters,2012,19(5):271-274.
[4]Men H,Jin M.A Low-Complexity ML Detection Algorithm for Spatial Modulation Systems with PSK Constellation[J].IEEE Communications Letters, 2014,18(8):1375-1378.
[5]Sugiura S,Xu C,Ng S X,et al.Reduced-Complexity Iterative- Detection-Aided Generalized Space-Time Shift Keying[J].IEEE Transactions on Vehicular Technology,2012,61(8):3656-3664.
[6]Hwang S U,Jeon S,Lee S,et al.Soft-output ML detector for spatial modulation OFDM systems[J].IEICE Electronics Express,2009,6(19):1426-1431.
[7]Tang Q,Xiao Y,Yang P,et al.A New Low-Complexity Near-ML Detection Algorithm for Spatial Modulation[J].IEEE Wireless Communications Letters, 2013,2(1):90-93.
The content of the invention
Present invention seek to address that above problem of the prior art.Propose and a kind of substantially reduce the low multiple of computational complexity The miscellaneous soft output spatial modulation detection method of degree.Technical scheme is as follows：
A kind of low complexity soft exports spatial modulation detection method, and step is included in transmitting terminal：Input bit carries out channel Coding, be then divided into two parts carries out emitting antenna selecting and modulation symbol mapping respectively, and is sent to reception through activating antenna End, it is comprised the following steps in receiving terminal：
L is indexed first against each transmitting antenna, signal phasor y will be received and be mapped to channel vector hl(hlIt is channel square The l row of battle array H) direction acquisitionThen according to constellation feature generating quantification formula pairEach may send out to carry out quantization acquisition Penetrate the corresponding most probable transmission sign estimations of antenna index lEach antenna-symbol pair is calculated againMetricAnd then to all antenna-symbols pairAccording to dlIt is ranked up, therefrom selects dl (p is less than transmission antenna number N more than 0 to minimum p for anytInteger) individual antenna-symbol pairCalculated as likelihood ratio Antenna serial number and assemble of symbol, and calculate each day line options bit and symbol mapped bits log-likelihood ratio, realize space The soft output detection of the contrast likelihood ratio form of modulation.
Further, the input bit carries out channel coding, and be then divided into two parts carries out emitting antenna selecting respectively Mapped with modulation symbol, and receiving terminal is sent to through activating antenna.NrAnd NtThe respectively number of transmission antenna and reception antenna, Assuming that the bit number that each time slot sends is K, order of modulation is M, then K bit is divided into log2(Nt) and log2(M) two Point, the selection of line activating antenna serial number and modulation symbol mapping are entered respectively, the signal after being mapped through ovennodulation is by activation antenna Send, receive signal and be represented by：
Y=Hx+w, (1)
Wherein,To receive signal phasor；And each element of H obeys average for 0 variance is 1 multiple Gauss distribution；And it is that 0 variance is δ that element obeys average2Additivity multiple Gauss distribution；X represents transmission symbol Vector.
Further, the signal phasor y that will receive is mapped to channel vector hlDirection, then generates according to constellation feature Quantitative formula pairCarry out quantifying to obtain the corresponding most probable transmission sign estimations of each possible transmitting antenna index lBag Include：
Signal will be received first is mapped to unit vector direction hl/||hl| |, obtain sufficient statistic
Wherein wlFor average is the multiple Gauss stochastic variable that 0 variance is 1, therefore in the situation of given transmitting antenna sequence number l Under, the detection for sending symbol can be realized by following formula：
Wherein
By formula (8) as can be seen that when s withDistance can obtain minimum value when minimum, directly be estimated using formula (9)-formula (11) Go out corresponding transmission sign estimation during given antenna serial number lSo as to N can be obtainedtIndividual transmission antenna and symbol pair
WhereinRepresent that integer rounds up, i is imaginary unit,WithReal and void are represented respectively Portion.
Further, it is described that each antenna-symbol pair is obtained by simplified maximum-likelihood decoding computing againDegree Value dlComprise the following steps：
OrderRepresent NtIt is individualSet, then obtainAfterwards, you can carry out outside ML search final to obtain Transmission antenna sequence number and transmission sign estimation,
Due to
AndIt is unrelated with antenna index l, therefore formula (12) can be further simplified as
Wherein metricBy formula (14) as can be seen that the detection of SM is converted into Nt Individual dlThe calculating of value, by comparing by obtain hard decision antenna serial number and send symbol ML testing results.
Advantages of the present invention and have the beneficial effect that：
The present invention is not limited to PSK modulation, it is adaptable to PSK, QAM and the spatial modulation system of similar modulation, given Estimation in the case of antenna serial number to modulation symbol is to be capable of achieving by quantization operation, and complexity is unrelated with order of modulation, is reduced To modulating the exhaustive search of symbol space in ML joint detection algorithms；Indexed by the calculating and sequence of metric and selector The minimum antenna serial number of value and corresponding estimate symbol, reduce the day line sequence for needing to consider when bit log-likelihood ratio is calculated Number and symbol quantity, greatly reduce space-modulation technique receiving terminal it is soft output detection algorithm complexity.Arranged by metric Lesser amount of antenna serial number and symbol quantity are selected after sequence, can also further reduce soft on the basis of a little performance is sacrificed Export the complexity of detection.
Brief description of the drawings
Fig. 1 is that the present invention provides preferred embodiment spatial modulation system transmitting terminal and receiving terminal model；
Fig. 2 is spatial modulation day line options and bit map flow chart；
Fig. 3 is QAM modulation sign estimation schematic diagram.
Specific embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, detailed Carefully describe.Described embodiment is only a part of embodiment of the invention.
The present invention solve above-mentioned technical problem technical scheme be：
The block diagram of spatial modulation system transmitting terminal and receiving terminal as shown in Figure 1, NrAnd NtRespectively transmission antenna and reception The number of antenna, it is assumed that the bit number that each time slot sends is K, and order of modulation is M, then K bit is divided into log2(Nt) and log2(M) two parts, enter the selection of line activating antenna serial number and modulation symbol mapping, as shown in Figure 2, transmission antenna number respectively Amount Nt=4, order of modulation M=4, are QPSK (can regard 4QAM as) modulation, send bit sequence and are entered in units of 4 bits Row packet, selects the 3rd secondary transmitting antenna, latter two bit " 00 " to be mapped as symbol 1+ such as " 1000 " the first two bit " 10 " 1i, and sent by the select the 3rd secondary transmitting antenna.Signal after being mapped through ovennodulation is sent by activation antenna, Signal is received to be represented by：
Y=Hx+w, (10)
Wherein,To receive signal phasor；And it is that 0 variance is 1 that each element of H obeys average Multiple Gauss is distributed；And it is that 0 variance is δ that element obeys average2Additivity multiple Gauss distribution；X represents transmission symbol arrow Amount.Because each moment of space-modulation technique only has secondary activation antenna (being assumed to be l), then only theIndividual element non-zero, and be(It is modulation constellation set), therefore formula (1) can be reduced to：
Y=hls+w, (11)
Wherein hlFor the l of H is arranged.
According to maximum likelihood (Maximum Likelihood, abbreviation ML) detection algorithm, then transmission antenna sequence numberAnd tune Symbol processedCan detect and be：
It is further to improve performance, it is necessary to demodulate output soft bit information for the communication system using channel coding, It is typically expressed as log-likelihood ratio (Log-Likelihood Ratio, LLR).Spatial modulation soft bit information based on ML detections Typically calculate in the following manner：
Wherein,WithAll antenna serial number set that m-th bit in day line options bit is 1 and 0 are represented respectively；WithThe n-th bit is 1 and 0 all modulation symbol set in expression modulation mapped bits respectively.Can by formula (13) and (14) To find out, the calculating of LLR needs to calculate all possible antenna serial number and modulation symbol set, and complexity is very high.
Separate due to sending symbol mapping and transmitting antenna sequence number, formula (3) can be transformed to formula (6), that is, be divided into two Individual step is detected：First in the case of given certain transmitting antenna sequence number l ML search acquisitions are carried out to sending symbol sThen again to the N of acquisitiontIndividual transmission antenna and symbol pairML search is carried out to detect transmission antenna sequence numberAnd transmission Symbol
To simplify detection complexity, signal will be received first and is mapped to unit vector direction hl/||hl| |, obtain fully system Metering
Wherein wlFor average is the multiple Gauss stochastic variable that 0 variance is 1, therefore in the situation of given transmitting antenna sequence number l Under, the detection for sending symbol can be realized by following formula：
Wherein
By formula (8) as can be seen that when s withDistance can obtain minimum value when minimum, therefore for QAM modulation, such as accompanying drawing It is shown, can directly utilize formula (9)-formula (11) to estimate corresponding transmission sign estimation during given antenna serial number lSo that can Obtain NtIndividual transmission antenna and symbol pairAs shown in figure 3,Position is in s1Within the square at place, according to It is s that formula (9)-formula (11) is adjudicated by being quantified1.The method need not carry out exhaustive search to all modulation symbols, with tune Exponent number processed is unrelated, can substantially reduce computational complexity.
WhereinRepresent that integer rounds up, i is imaginary unit,WithReal and void are represented respectively Portion.For PSK modulation, then can be obtained using the method for document [4]
OrderRepresent NtIt is individualSet, then obtainAfterwards, you can enter the outside ML search of line (6) to obtain Final transmission antenna sequence number and transmission sign estimation,
Due to
AndIt is unrelated with antenna index l, therefore formula (12) can be further simplified as
Wherein metricBy formula (14) as can be seen that the detection of SM is converted into Nt Individual dlThe calculating of value, by comparing by obtain antenna serial number and send symbol ML testing results.Due to all ofCan with calculated in advance,Need not calculate again, and in the case where channel is constantNeed not repeat Calculate, thus it is lower relative to formula (12) complexity.
By above-mentioned detection process, the corresponding transmission symbols of any possible transmitting antenna sequence number l can be obtainedAnd dl, dl More big then testing result be l andPossibility it is smaller.Simplify the complexity that LLR is calculated for further, first by dlIt is ascending Antenna serial number is ranked up forFurther reject dlLarger value correspondence Nt- p antenna serial number.OrderThen the LLR of formula (4) and (5) is calculated and can be reduced to：
WhereinWithAll antenna serial number set that m-th bit in day line options bit is 1 and 0 are represented respectively； WithRepresent respectively the n-th bit be 1 and 0 it is allThe set of corresponding antenna serial number composition.
Convolution (13), then formula (15) and (16) can be further simplified as
The LLR of all bits is sent to the bit data that transmission is recovered by channel decoder enters row decoding.The method Relative to general soft output LLR computational methods, it is necessary to the antenna and symbolic range that calculate greatly reduce, and can make full use of The metric d that early stage is calculatedl.Additionally, the method can also flexibly select p value according to different performance requirements, lower meter is obtained Calculate complexity.
The above embodiment is interpreted as being merely to illustrate the present invention rather than limits the scope of the invention. Read after the content of record of the invention, technical staff can make various changes or modifications to the present invention, these equivalent changes Change and modification equally falls into the scope of the claims in the present invention.

Claims (4)

1. a kind of low complexity soft output spatial modulation detection method, step is included in transmitting terminal：Input bit carries out channel volume Code, be then divided into two parts carries out emitting antenna selecting and modulation symbol mapping respectively, and is sent to receiving terminal through activating antenna, Characterized in that, being comprised the following steps in receiving terminal：
L is indexed first against each transmitting antenna, signal phasor y will be received and be mapped to channel vector hl, direction obtainshl For the l of channel matrix H is arranged, then according to constellation feature generating quantification formula pairEach may launch day to carry out quantization acquisition Clue draws the corresponding most probable transmission sign estimations of lEach antenna-symbol pair is calculated againMetricAnd then to all antenna-symbols pairAccording to dlIt is ranked up, therefrom selects dl P minimum antenna-symbol pairThe antenna serial number and assemble of symbol calculated as likelihood ratio, p are arbitrarily to be less than more than 0 Transmission antenna number NtInteger, and calculate each day line options bit and symbol mapped bits log-likelihood ratio, realize space The soft output detection of the contrast likelihood ratio form of modulation.
2. low complexity soft according to claim 1 exports spatial modulation detection method, it is characterised in that the input ratio Spy carries out channel coding, and be then divided into two parts carries out emitting antenna selecting and modulation symbol mapping respectively, and through activating antenna It is sent to receiving terminal, NrAnd NtThe respectively number of transmission antenna and reception antenna, it is assumed that the bit number that each time slot sends is K, Order of modulation is M, then K bit is divided into log2(Nt) and log2(M) two parts, enter respectively line activating antenna serial number selection with And modulation symbol mapping, sent by activation antenna through the signal after ovennodulation mapping, receive signal and be represented by：
Y=Hx+w, (1)
Wherein,To receive signal phasor；And it is that 0 variance is 1 to answer that each element of H obeys average Gaussian Profile；And it is that 0 variance is δ that element obeys average2Additivity multiple Gauss distribution；X represents transmission symbolic vector.
3. low complexity soft according to claim 2 exports spatial modulation detection method, it is characterised in that described to receive Signal phasor y is mapped to channel vector hlDirection obtainsThen according to constellation feature generating quantification formula pairQuantified Obtain each possible transmitting antenna and index the corresponding most probable transmission sign estimations of lIncluding：
Signal will be received first is mapped to unit vector direction hl/||hl| |, obtain sufficient statistic
y l = h l H h l | | h l | | s + h l H n | | h l | | = | | h l | | s + w l , - - - ( 2 )
Wherein wlFor average is the multiple Gauss stochastic variable that 0 variance is 1, therefore in the case of given transmitting antenna sequence number l, hair Sending the detection of symbol can be realized by following formula：
Wherein
By formula (8) as can be seen that when s withDistance can obtain minimum value when minimum, directly be estimated using formula (9)-formula (11) Corresponding transmission sign estimation during given antenna serial number lSo as to N can be obtainedtIndividual transmission antenna and symbol pair
WhereinRepresent that integer rounds up, i is imaginary unit,WithReal and imaginary part are represented respectively；
4. low complexity soft according to claim 2 exports spatial modulation detection method, it is characterised in that described by letter The maximum-likelihood decoding computing of change obtains each antenna-symbol pairMetric dlComprise the following steps：
OrderRepresent NtIt is individualSet, then obtainAfterwards, you can carry out outside ML search to obtain final transmission day Line sequence number and transmission sign estimation,
Due to
AndIt is unrelated with antenna serial number l, therefore formula (12) can be further simplified as
Wherein metricBy formula (14) as can be seen that the detection of SM is converted into NtIndividual dl The calculating of value, by comparing by obtain hard decision antenna serial number and send symbol ML testing results.
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CN107835068A (en) * 2017-11-02 2018-03-23 中国计量大学 A kind of low complexity orthogonal spatial modulation globular decoding detection algorithm with transmitting diversity
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CN108234082A (en) * 2017-11-29 2018-06-29 重庆邮电大学 A kind of full diversity space-time coding method based on spatial modulation
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