CN107968758A - The system detecting method of orthogonal intersection space modulation based on mpsk signal - Google Patents

The system detecting method of orthogonal intersection space modulation based on mpsk signal Download PDF

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CN107968758A
CN107968758A CN201711188447.6A CN201711188447A CN107968758A CN 107968758 A CN107968758 A CN 107968758A CN 201711188447 A CN201711188447 A CN 201711188447A CN 107968758 A CN107968758 A CN 107968758A
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mpsk
symbol
quantization
modulation symbol
antenna
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CN107968758B (en
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李兆玉
唐青青
马东亚
杨浩澜
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Chongqing University of Post and Telecommunications
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    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00—Modulated-carrier systems
    • H04L27/18—Phase-modulated carrier systems, i.e. using phase-shift keying
    • H04L27/22—Demodulator circuits; Receiver circuits

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Abstract

The invention belongs to wireless communication technology field, the orthogonal intersection space modulating system detection method specially based on mpsk signal；Including：Mpsk signal planisphere is quantified using two-dimensional vector, obtains MPSK quantization figures；Dock a number force zero of execution of collecting mail to obtain sending vectorial estimate, the column element for sending vectorial estimate is summed to obtain transmission sign estimation value；Determine that sending sign estimation value falls the quantization areas in MPSK quantization figures, the modulation symbol for judging transmitting terminal transmission is the constellation point of the quantization areas；The modulation symbol sent according to the transmitting terminal detected, detects specifically to activate antenna index using globular decoding SD；For the present invention when detecting modulation symbol, the modulation symbol that transmitting terminal is sent can directly be judged by sending sign estimation value, and the detection of modulation symbol is not related with order of modulation, reduces search space, reduces complexity；The SD detections that the present invention uses effectively reduce search point, reduce the complexity of receiver by reasonably selecting search radius.

Description

The system detecting method of orthogonal intersection space modulation based on mpsk signal
Technical field：
The invention belongs to wireless communication technology field, is related to a kind of orthogonal intersection space modulating system detection based on mpsk signal Method.
Background technology：
From the beginning of this century, mobile communication business high speed development, the quantity of communication user and the demand to Information Mobile Service Progressively increase, mobile communication has become the indispensable part of modern society's people's daily life.With wireless communication technique Fast development and extensive use, people have the transmission rate and communication reliability of communication system the requirement of higher, limited The communication resource and growing traffic demands between contradiction become next generation mobile communication pass urgently to be resolved hurrily Key problem.
With increasingly increase of the people to radio communication service demand, Modern wireless communication is to high speed data transfers and height The requirement of the availability of frequency spectrum also becomes higher and higher.Traditional single-antenna wireless communication system is faced with stern challenge, not It can meet above-mentioned requirements again, even if oneself can not solve new generation of wireless communication using conventional diversity technique or intelligent antenna technology The large capacity of system and the needs of problems of high reliability.In order to solve the problems, such as this, multiple-input and multiple-output (multiple Input-multiple output, MIMO) technology comes into being.Multiple-input and multiple-output MIMO technology in sending and receiving end by setting up More dual-mode antennas realize spatial multiplexing gain, diversity gain and day in different forms on the premise of system transmitting is ensured Line gain, so that the message transmission rate of wireless communication system and the capacity of communication system is greatly improved, but system Performance be but subject to synchronous (inter- between interchannel interference (inter-channel interference, ICI), originator antenna Antenna synchronization, ISA) and the higher receiver detection algorithm of complexity limitation, and multiple antennas radio frequency (radio frequency, RF) link causes wireless communication system cost and complexity is continuously increased, and it is more that this becomes multi input Export a bottleneck of mimo system practical application.Certainly, traditional multiple-input and multiple-output MIMO technology also takes accordingly Measure solves the above problems, but in receiving terminal detection complexity higher, and cost overhead is bigger, and multiple antennas is synchronous very It is not readily available guarantee.
For next generation mobile communication network, people start progressively to pay close attention to communication system while pursuing system spectral efficiency Energy efficiency.People were to maximize in order to lift the advanced transmission technology of mobile data flow research and communication protocol in the past The spectrum efficiency of system, is usually examined using throughput of system, service quality, practicality and scalability as what mobile network designed Worry factor, ignores the research to energy expenditure.Recently as the proposition of green communications, the power efficiency and complexity of system Be designed to research hotspot, realizing the active balance of spectrum efficiency and energy efficiency becomes the pass of next generation wireless communication design Key.Conventional art sends data flow to obtain transmission diversity and spatial multiplexing gain at the same time using all transmission antennas, realizes system Frequency spectrum optimization, be but not reaching to the energy-optimised of system.In addition, between the interchannel interference (ICI) that Transmission system faces, antenna Synchronous (IAS) and the demodulating algorithm of receiver complexity are all to need key technical problem urgently to be resolved hurrily.For this reason, in 2008 The scholars such as R.Mesleh propose the concept of spatial modulation (spatial modulation, SM).
The appearance of space-modulation technique solves one existing for above-mentioned multiple-input and multiple-output MIMO technology to a certain extent A little problems, can effectively avoid the synchronous sex chromosome mosaicism of interchannel interference (ICI) and multi-antenna transmission, moreover, in spatial modulation In system, it is sufficient that single radio frequency link.Spatial modulation as a kind of new multiple-input and multiple-output MIMO modulation techniques, be by Input information bits are divided into two parts and are respectively mapped on space antenna planisphere and signal constellation (in digital modulation) figure, are not increasing system bandwidth With the band efficiency that system can be effectively improved on the premise of transmission power.In SM systems, it is allowed to use single radio frequency (RF) link, reduces the computation complexity of receiving terminal.For SM systems, under the premise of certain band efficiency, day is sent Line number and order of modulation can be with flexible configurations.
In order to further improve the performance of the spectrum efficiency of Traditional Space modulating system and system, recently, orthogonal intersection space Modulation (quadrature spatial modulation, QSM) is suggested.Compared with traditional spatial modulation (SM) system, Orthogonal intersection space modulation (QSM) system can not only improve system error bit ability (receiving terminal use detection algorithm and be The spectrum efficiency of system is under the same conditions) and spectrum efficiency, and almost remain the advantages of Traditional Space modulating system is all. At present, the detection algorithm for orthogonal intersection space modulating system is all based on M-ary Quadrature Amplitude modulation (Multiple mostly Quadrature Amplitude Modulation, MQAM) mode, and for multi-system digital phase modulation (multiple Phase shift keying, MPSK) mode research it is also relatively fewer.The present invention is exactly to utilize MPSK modulation system constellation points Characteristic propose a kind of detection algorithm based on mpsk signal.Needed using ML detection algorithms traditional under MPSK modulation systems All modulation symbols of exhaustive search and activation antenna combination, so as to detect correct modulation symbol and activation antenna combination； Therefore the complexity of receiver detection algorithm is high.Present invention seek to address that the problem of tradition ML detection algorithm complexities are high, It is intended to find a kind of detection algorithm of performance and complexity compromise.
The content of the invention：
In view of this, it is an object of the invention to provide a kind of orthogonal intersection space based on mpsk signal to modulate (quadratu Re spatial modulation, QSM) system detecting method, specifically include following technical solution：
A kind of orthogonal intersection space modulation (quadrature spatial modulation, QSM) system based on mpsk signal System detection method, this method comprise the following steps：
S1, using two-dimensional vector quantify mpsk signal planisphere, obtain MPSK quantization figures；
S2, docking collection of letters y perform a force zero and obtain sending vectorial estimateTo describedColumn element sum To transmission sign estimation valueAnd it is expressed as polar form, then willQuantify into MPSK constellation quantization figures；
S3, quantified according to MPSK constellations the characteristic of figure, quantization boundary andPolar angle, obtain describedIn MPSK constellations Quantify corresponding specific quantization areas in figure；Constellation point in this quantization areas is to be determined as the modulation symbol that transmitting terminal is sent Number；
Constellation point in S4, the quantization areas obtained according to S3 is determined as the modulation symbol that transmitting terminal is sent, and utilizes ball Shape decodes SD, and the transmission antenna combination corresponding to the modulation symbol sent to the transmitting terminal scans for, and detects the hair The specific activation antenna index for the modulation symbol that sending end is sent, namely specifically activate antenna serial number.
Preferably, the docking collection of letters y performs a force zero and obtains sending vectorial estimateIt is represented by with formula：
Wherein H+Represent the pseudoinverse of channel matrix H.WillIn column element be added summation obtain send sign estimation value Write as polar formWherein, θ represents polar angle, and r represents pole axis.
Preferably, according to MPSK constellations quantify the characteristic of figure, quantization boundary andPolar angle, obtain describedIn MPSK Corresponding specific quantization areas includes in constellation quantization figure：According to formulaCalculate Send the estimate of symbol phase；Then further according to formulaCalculate describedIt is corresponding to send symbol NumberThe transmission symbolThe modulation symbol that as transmitting terminal is sent；
Wherein,Represent the estimate of quantization areas, i.e., theA quantization areas, Represent constellation point Phase estimate,Round (a) represents an integer nearest from a, and M represents constellation point order of modulation, Mod () represents modulus,Represent the phase of i-th of constellation point, xiRepresent the corresponding transmission symbol of i-th constellation point.It can see Go out, the modulation symbol that the transmitting terminal is sent is unrelated with the size of the planisphere of signal space.
Further, the constellation point in quantization areas obtained according to S3 is determined as the modulation symbol that transmitting terminal is sent, Using globular decoding SD, the transmission antenna combination corresponding to the modulation symbol that the transmitting terminal is sent is scanned for, detected The specific activation antenna index for the modulation symbol that the transmitting terminal is sent includes：
Each two antennas of gap activation send the real and imaginary parts of modulation symbol respectively in orthogonal intersection space modulating system, then It is divided into two kinds of situation traversals, the corresponding transmission vector of described two situations traversal is traveled through using globular decoding SD, and then Detect activation antenna serial number；Described two situation traversals include：The real and imaginary parts of modulation symbol are by same activation antenna Corresponding antenna is indexed to send；And the real and imaginary parts of modulation symbol are respectively by the different corresponding antennas of activation antenna index Send；
Specifically include：Send symbolIt is expressed as：The transmission is found out in symbol table The corresponding all transmission vectors of symbol, the SD into line activating antenna index is searched for, existing：
Wherein,Represent the activation antenna index of estimation,The transmission symbol that previous step detects is represented respectively NumberReal and imaginary parts.It is expressed as antenna index；When argmin [] expression obtains minimum value, The value of independent variable；yr、WithReceived vector y, matrix are represented respectivelyAnd matrixR-th of element；It is to calculate Euclidean distanceNumber, that is to say search depth, C0Represent The initial radium of search range.
Preferably, the initial radium of search rangeα is formula's Solution.For specific reception antenna, α is a constant.
Wherein, C is the point set of all transmission symbol X and antenna index the L composition in radius sphere.Γ (s) is gamma letter Number, andγ (s, x) is lower not exclusively Γ (s) gamma functions,ε It is the constant of a very little, represents the probability of detection error, generally 10-6。
It is noted that for different activation antennas and constellation symbol,It is not quite similar, often Completing once search may need to calculateIt is secondaryMay also only it need once, therefore,'s Scope is
Then, transmission symbol just detected according to such scheme, the present inventionWith activation antenna combination.
Brief description of the drawings：
Fig. 1 is orthogonal intersection space system model；
Fig. 2 is the flow chart of the orthogonal intersection space modulating system detection method of the invention based on mpsk signal；
Fig. 3 quantifies schematic diagram for 8PSK constellations；
Embodiment：
In order to make the purpose , technical scheme and advantage of the present invention be clearer, below in conjunction with attached drawing to of the invention real The technical solution applied in example is clearly and completely described, it is clear that described embodiment is only that a present invention part is implemented Example, instead of all the embodiments.Based on the embodiments of the present invention, those of ordinary skill in the art are not making creativeness All other embodiments obtained under the premise of work, belong to the scope of protection of the invention.
The invention will be further described with specific embodiment below in conjunction with the accompanying drawings：
Below in conjunction with attached drawing, the preferred embodiment of the present invention is described in detail.
Fig. 1 is orthogonal intersection space modulating system illustraton of model, as shown in Figure 1, NtAnd NrTransmission antenna number and reception are represented respectively Antenna number, the spectrum efficiency of orthogonal intersection space modulating system of the invention can use formula m=log2(Nt 2M) represent, M is represented Constellation point order of modulation；Wherein, log2(M) bit is used for modulated signal constellation symbol, in addition log2(Nt 2) bit is respectively intended to Control sends the activation antenna index of modulation symbol x real and imaginary parts, and real part is sent with cosine carrierSinusoidal carrier sends empty PortionThen the actual modulation symbol that sends is represented by：
However, in space-modulation technique, each time slot only activates an antenna and is used for sendingWithTherefore, with sky Between modulate and compare, the bit number of each slot transmission adds log in orthogonal intersection space modulation2(Nt).Because sinusoidal and cosine carrier It is mutually orthogonal, so interchannel interference need not consider in orthogonal intersection space modulating system.Because the antenna of each gap activation Number preferably at most 2, so requirement synchronous between antenna also reduces.In orthogonal intersection space modulation technique, can use be spatially separating The real and imaginary parts of one signal are respectively allocated to activate antenna accordingly by device.
Preferably, with NtExemplified by=2, the specific mapping principle of orthogonal intersection space modulating system is specifically introduced, other send day Its mapping principle of line number is equally applicable.Assuming that the sub-block sent in a particular time-slot isAdopt Modulated with QPSK.Orthogonal intersection space modulating system is implemented as follows：Log afterwards2(M) a bit 10 modulates QPSK symbols x=+1- j.The symbol is further decomposed into real partAnd imaginary partPreceding log2(Nt) a bit 1 control activation day Clue is drawn,For sending real partThen real part sends vector and is represented by In 0 table Show that the transmission antenna of this position correspondence is in silent status, do not send information, only activate antenna index 2 to send modulation symbol Number real part.Then log2(Nt) a bit 0 control activation antenna indexFor sending imaginary partThen imaginary part is sent out The amount of being sent to is represented byThen willWithAddition can obtain sending vector S passes through a NrThe average of × 1 dimension is 0, variance σ2, with additive white Gaussian noiseNr×Nt The channel H of dimension is transmitted.
The element h of complex channel matrix Hi,jThe channel gain between jth root transmission antenna and i-th reception antenna is represented,Represent the of HRow.It is independent identically distributed multiple Gauss that the element of channel matrix H, which is assumed to be, Stochastic variable, average 0, variance 1.
Receiving signal can be expressed as：
The specific mapping that orthogonal intersection space modulating system is sent when bit number is 4 bit is as shown in table 1,
Table 1:Orthogonal intersection space modulates 4 bit maps
Orthogonal intersection space modulating system detection method of the invention based on mpsk signal, as shown in Fig. 2, the orthogonal space of the present invention Between modulate the detection algorithm based on mpsk signal of (quadrature spatial modulation, QSM) system, including such as Lower step：
S1, using two-dimensional vector quantify mpsk signal planisphere, obtain MPSK quantization figures；
S2, docking collection of letters y perform a force zero and obtain sending vectorial estimateTo describedColumn element sum To transmission sign estimation valueAnd it is expressed as polar form, then willQuantify into MPSK constellation quantization figures；
S3, quantified according to MPSK constellations the characteristic of figure, quantization boundary andPolar angle, obtain describedIn MPSK constellations Quantify corresponding specific quantization areas in figure；Constellation point in this quantization areas is to be determined as the modulation symbol that transmitting terminal is sent Number；
Constellation point in S4, the quantization areas obtained according to S3 is determined as the modulation symbol that transmitting terminal is sent, and utilizes ball Shape decodes SD, and the transmission antenna combination corresponding to the modulation symbol sent to the transmitting terminal scans for, and detects the hair The specific activation antenna index for the modulation symbol that sending end is sent, namely specifically activate antenna serial number.
Further, it is preferred that the two-dimensional vector that carried out to MPSK constellations quantifies to include：It is 0 to set initial phase, star The amplitude of seat point is 1, then i-th of constellation point can be expressed as in MPSK planispheres：
Wherein,Represent the phase of i constellation point, M represents constellation point order of modulation.
Further, it is preferred that since initial phase is different, MPSK planispheres may have different representations, still Its constellation point is necessarily on same circle, and the center of circle of this circle is in coordinate origin.For mpsk signal, we can be from The angle that two-dimensional vector quantifies is set out, and two-dimensional vector quantization is carried out to MPSK planispheres；The MPSK constellations quantify specifically such as Under：
Preferably, by taking 8PSK as an example, as shown in figure 3, dotted line represents the signal quantization demodulation boundary on two dimensional surface, stain Represent constellation point, β represents to send sign estimation valueWith sending symbolBetween angle.Assuming that initial phase is 0, constellation The amplitude of point is 1, then i-th of constellation point can be expressed as in MPSK planispheres：
Wherein,Represent the estimate of the phase of i constellation point, M represents constellation point order of modulation.
A kind of orthogonal intersection space modulating system detection method based on mpsk signal according to claim 1, its feature It is, the docking collection of letters y performs the transmission vector estimate after a force zero is convertedIt is represented by with formula：
Wherein H+Represent the pseudoinverse of channel matrix H.WillIn column element be added summation obtain send sign estimation value Write as polar formθ represents polar angle, and r represents pole axis.
Preferably, according to MPSK constellations quantify the characteristic of figure, quantization boundary andPolar angle, obtain describedIn MPSK Corresponding specific quantization areas includes in constellation quantization figure：According to formulaDetect It is specific to send symbol；According to formulaCalculate describedCorresponding transmission symbolIt is described Send symbolThe modulation symbol that as transmitting terminal is sent；
Preferably, the estimate of constellation point phaseCan be byIt is calculated, and
Angle () function representation takesPolar angle.As long as therefore obtain receiving signal y just The estimate of phase can be calculated by above-mentioned formula.After phase estimation goes out, according to formula Calculate the specific of transmitting terminal transmission and send symbol
Wherein, the estimate of constellation point phaseIt is basisCalculate, andIt is basis again Arrive, and θ does corresponding conversion according to reception signal y and obtains afterwards, as long as so obtaining receiving signal y, it is possible to To the estimate of constellation point phase, after the estimate of the phase calculates, the specific modulation symbol that transmitting terminal is sent is just Know which is；
Further, the constellation point in quantization areas obtained according to S3 is determined as the modulation symbol that transmitting terminal is sent, Using globular decoding SD, the transmission antenna combination corresponding to the modulation symbol that the transmitting terminal is sent is scanned for, detected The specific activation antenna index for the modulation symbol that the transmitting terminal is sent, that is to say after modulation symbol is detected, utilizes Globular decoding SD further detects the specific transmission antenna of transmitting terminal, and process is as follows：
Each two antennas of gap activation send the real and imaginary parts of modulation symbol respectively in orthogonal intersection space modulating system, then It is divided into two kinds of situation traversals, the corresponding transmission vector of described two situations traversal is traveled through using globular decoding SD, and then Detect activation antenna serial number；Described two situation traversals include：The real and imaginary parts of modulation symbol are by same activation antenna Corresponding antenna is indexed to send；And the real and imaginary parts of modulation symbol are respectively by the different corresponding antennas of activation antenna index Send；
Specifically include：Send symbolIt is expressed as：The transmission is found out in symbol table The corresponding all transmission vectors of symbol, the SD into line activating antenna index is searched for, existing：
Wherein,Represent the activation antenna index of estimation,Represent to send symbol respectivelyReal part and Imaginary part.It is expressed as antenna index, yr、WithReceived vector y, matrix are represented respectivelyAnd matrix R-th of element；It is to calculate Euclidean distanceNumber, i.e. search depth, C0 Represent the initial radium of search range.
Preferably,α is formulaSolution.For specific reception antenna, α For a constant.
Wherein, C is the point set of all transmission symbol X and antenna index the L composition in radius sphere.Γ (s) is gamma letter Number, andγ (s, x) is lower not exclusively Γ (s) gamma functions,ε is one The constant of a very little, represents the probability of detection error, generally 10-6。
It is noted that for different activation antennas and constellation symbol,It is not quite similar, per complete It may need to calculate into once searchIt is secondaryMay also only it need once, therefore,Scope For
Then, according to aforesaid way, it just detected transmission symbolWith activation antenna combination.
The advantages of globular decoding SD is detected is that SD detections by reasonably selecting search radius, avoid ML detection bands The limit retrieval come, effectively reduces search point, and the complexity of receiver is greatly reduced compared with ML is detected.
Finally illustrate, preferred embodiment above is merely illustrative of the technical solution of the present invention and unrestricted, although logical Cross above preferred embodiment the present invention is described in detail, however, those skilled in the art should understand that, can be Various changes are made to it in form and in details, without departing from claims of the present invention limited range.

Claims (8)

  1. A kind of 1. orthogonal intersection space modulating system detection method based on mpsk signal, it is characterised in that：Comprise the following steps：
    S1, using two-dimensional vector quantify mpsk signal planisphere, obtain MPSK quantization figures；
    S2, docking collection of letters y perform a force zero and obtain sending vectorial estimateTo describedColumn element sum and sent out Send sign estimation valueAnd it is expressed as polar form, willQuantify into MPSK constellation quantization figures；
    S3, quantified according to MPSK constellations the characteristic of figure, quantization boundary andPolar angle, obtain describedQuantify in MPSK constellations Corresponding specific quantization areas in figure；Constellation point in specific quantization areas is to be determined as the modulation symbol that transmitting terminal is sent Number；
    The modulation symbol that S4, the transmitting terminal obtained according to S3 are sent；Using globular decoding SD, the modulation sent to the transmitting terminal Transmission antenna combination corresponding to symbol scans for, and detects the specific activation day for the modulation symbol that the transmitting terminal is sent Clue is drawn, namely specifically activates antenna serial number.
  2. 2. a kind of orthogonal intersection space modulating system detection method based on mpsk signal according to claim 1, its feature exist In described to quantify MPSK planispheres using two-dimensional vector, obtaining MPSK quantization figures includes：It is 0 to set initial phase, the MPSK The amplitude of constellation point is 1, then i-th of constellation point x in MPSK planispheresiIt is expressed as：
    Wherein,Represent the phase of i-th of constellation point, M represents constellation point order of modulation.
  3. 3. a kind of orthogonal intersection space modulating system detection method based on mpsk signal according to claim 1, its feature exist In the docking collection of letters y performs a force zero and obtains sending vectorial estimateIt is represented by with formula：
    <mrow> <mover> <mi>y</mi> <mo>&amp;OverBar;</mo> </mover> <mo>=</mo> <msup> <mi>H</mi> <mo>+</mo> </msup> <mi>y</mi> </mrow>
    Wherein, H+Represent the pseudoinverse of channel matrix H.
  4. 4. a kind of orthogonal intersection space modulating system detection method based on mpsk signal according to claim 1, its feature exist In described rightColumn element sums to obtainIncluding：WillIn column element be added summation obtain send sign estimation valueWrite as Polar formθ represents polar angle, and r represents pole axis, the π of 0≤θ≤2.
  5. 5. a kind of orthogonal intersection space modulating system detection method based on mpsk signal according to claim 1, its feature exist In, it is described according to MPSK constellations quantify the characteristic of figure, quantization boundary andPolar angle, obtain describedQuantify in MPSK constellations Corresponding specific quantization areas includes in figure：According to formulaCalculate transmission symbol The estimate of phase；Then further according to formulaCalculate describedCorresponding transmission symbol The transmission symbolThe modulation symbol that as transmitting terminal is sent；
    Wherein,Represent the estimate of quantization areas, i.e., theA quantization areas, Round (a) integer nearest from a is represented, M represents constellation point order of modulation, and mod () represents modulus,Represent i-th of constellation point Phase, xiRepresent the corresponding transmission symbol of i-th of constellation point.
  6. 6. a kind of orthogonal intersection space modulating system detection method based on mpsk signal according to claim 1, its feature exist In the constellation point in the quantization areas obtained according to S3 is determined as the modulation symbol that transmitting terminal is sent, and is translated using spherical Code SD, the transmission antenna combination corresponding to the modulation symbol that the transmitting terminal is sent scan for, and detect the transmitting terminal The specific activation antenna index of the modulation symbol of transmission includes：
    Each two antennas of gap activation send the real and imaginary parts of modulation symbol respectively in orthogonal intersection space modulating system, then are divided into Two kinds of situation traversals, travel through the corresponding transmission vector of described two situations traversal using SD criterions, and then detect to swash Antenna serial number living；Described two situation traversals include：The real and imaginary parts of modulation symbol are corresponded to by same activation antenna index Antenna send；And the real and imaginary parts of modulation symbol are sent by the different corresponding antennas of activation antenna index respectively；
    Specifically include：Send symbolIt is expressed as：The transmission symbol is found out in symbol tableCorresponding all transmission vectors, the SD into line activating antenna index are searched for, that is, had：
    Wherein,Represent the activation antenna index of estimation,The transmission symbol is represented respectivelyReal part and Imaginary part；It is expressed as antenna index；When argmin [] expression obtains minimum value, independent variable takes Value；NtRepresent transmission antenna number, yr、WithReceived vector y, matrix are represented respectivelyAnd matrixR-th yuan Element,It is to calculate Euclidean distanceNumber, that is to say search depth, NrTable Show reception antenna number, C0Represent the initial radium of search range.
  7. 7. a kind of orthogonal intersection space modulating system detection method based on mpsk signal according to claim 6, its feature exist In the initial radium C of described search scope0For：
    <mrow> <msubsup> <mi>C</mi> <mn>0</mn> <mn>2</mn> </msubsup> <mo>=</mo> <mn>2</mn> <msub> <mi>&amp;alpha;N</mi> <mi>r</mi> </msub> <msubsup> <mi>&amp;sigma;</mi> <mi>n</mi> <mn>2</mn> </msubsup> </mrow>
    Wherein, α is formulaSolution；Γ (s) is gamma function, and γ (s, x) is lower not exclusively Γ (s) gamma functions,ε is constant, for specific reception antenna, α is constant,Represent the noise power when transmit power is 1.
  8. 8. a kind of orthogonal intersection space modulating system detection method based on mpsk signal according to claim 6, its feature exist In describedSpecifically include：
    Wherein, C is the point set of all transmission symbol X and antenna index the L composition in radius sphere, and argmax [] represents to take When obtaining maximum, the value of independent variable.
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Publication number Priority date Publication date Assignee Title
CN108900450A (en) * 2018-08-08 2018-11-27 京东方科技集团股份有限公司 ESL system, wireless communication system and its receiving end and signal acceptance method
CN109412670A (en) * 2018-11-28 2019-03-01 中国计量大学 Low complex degree detection method in GSM-MBM system based on relaxative iteration
CN109412670B (en) * 2018-11-28 2022-01-18 中国计量大学 Low-complexity detection method based on relaxation iteration in GSM-MBM system

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