CN113225117A - Multi-user Massive MIMO system signal transmitting and receiving method - Google Patents

Multi-user Massive MIMO system signal transmitting and receiving method Download PDF

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CN113225117A
CN113225117A CN202110459200.3A CN202110459200A CN113225117A CN 113225117 A CN113225117 A CN 113225117A CN 202110459200 A CN202110459200 A CN 202110459200A CN 113225117 A CN113225117 A CN 113225117A
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苗静怡
方舒
黄润
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University of Electronic Science and Technology of China
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity 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
    • H04B7/0615Diversity 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
    • H04B7/0617Diversity 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 for beam forming
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • H04B7/0456Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity 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
    • H04B7/0615Diversity 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
    • H04B7/0619Diversity 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
    • H04B7/0621Feedback content
    • H04B7/0626Channel coefficients, e.g. channel state information [CSI]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity 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
    • H04B7/0615Diversity 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
    • H04B7/0619Diversity 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
    • H04B7/0621Feedback content
    • H04B7/063Parameters other than those covered in groups H04B7/0623 - H04B7/0634, e.g. channel matrix rank or transmit mode selection
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/08Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0837Diversity 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
    • H04B7/0842Weighted combining
    • H04B7/0848Joint weighting
    • H04B7/0854Joint weighting using error minimizing algorithms, e.g. minimum mean squared error [MMSE], "cross-correlation" or matrix inversion
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/08Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0837Diversity 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
    • H04B7/0842Weighted combining
    • H04B7/0848Joint weighting
    • H04B7/0857Joint weighting using maximum ratio combining techniques, e.g. signal-to- interference ratio [SIR], received signal strenght indication [RSS]
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/08Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0837Diversity 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
    • H04B7/0842Weighted combining
    • H04B7/086Weighted combining using weights depending on external parameters, e.g. direction of arrival [DOA], predetermined weights or beamforming
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L27/00Modulated-carrier systems
    • H04L27/32Carrier systems characterised by combinations of two or more of the types covered by groups H04L27/02, H04L27/10, H04L27/18 or H04L27/26
    • H04L27/34Amplitude- and phase-modulated carrier systems, e.g. quadrature-amplitude modulated carrier systems
    • H04L27/3405Modifications of the signal space to increase the efficiency of transmission, e.g. reduction of the bit error rate, bandwidth, or average power
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04BTRANSMISSION
    • H04B7/00Radio transmission systems, i.e. using radiation field
    • H04B7/02Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas
    • H04B7/04Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas
    • H04B7/0413MIMO systems
    • H04B7/0452Multi-user MIMO systems

Abstract

The invention belongs to the technical field of wireless communication, and particularly relates to a signal transmitting and receiving method of a multi-user Massive MIMO system. The scheme of the invention directly carries out beamforming on the CSI (channel State information) of a channel, and carries out beamforming or precoding operation on a signal through a beamforming technology based on zero forcing. Under the framework, a transmitting end can put all information bits into one data stream for transmission, and can obtain beamforming gain at the transmitting end and receiving end through all antennas at the transmitting end and receiving end, and obtain receiving diversity gain at the receiving end through combined detection of all receiving antennas. The invention realizes the transmitting beam forming gain of the transmitter and the space diversity gain of the receiver in a multi-user SM-MIMO system, and can inject more bits into a single data stream, thereby realizing higher transmission data rate and good performance.

Description

Multi-user Massive MIMO system signal transmitting and receiving method
Technical Field
The invention belongs to the technical field of wireless communication, and particularly relates to a signal transmitting and receiving method of a multi-user Massive MIMO system.
Background
Multiple-input multiple-output (MIMO) technology can significantly improve spectral efficiency without increasing transmit power and spectral resources. Among them, spatial multiplexing and spatial diversity are attracting attention, such as vertical layered space-time (V-BLAST) and Alamouti space-time block coding (STBC). In addition, the beam forming technology is an efficient MIMO transmission technology, originates from an array signal processing technology, forms an energy focusing beam by weighing and combing transmission signals of different antennas, transmits a directional strong beam to reduce high transmission loss of a receiver so as to improve the signal-to-noise ratio of the receiver, is an important means of spatial filtering, and has become a key technology and a research hotspot of mobile communication systems beyond 5G and 5G. Currently, the most commonly used beamforming methods in the mobile communication system include Maximum Ratio Transmission (MRT), Zero Forcing (ZF), Minimum Mean Square Error (MMSE), Block Diagonalization (BD), and Signal to Leakage and Noise Ratio (SLNR). To date, there has been extensive research into the design and optimization of beamforming vectors in different MIMO scenarios. Meanwhile, spatial modulation, a new MIMO technology, has been widely discussed in recent years, and it has a single rf characteristic and a unique switch structure, simplifying the implementation of transmission and reception. Furthermore, Spatial Shift Keying (SSK) is a similar but more simplified approach to SM, using only the index of the antenna to modulate information at a single radio frequency, resulting in lower practical implementation complexity and cost. The performance of the SM system can be further improved by preprocessing at the transmitting end using Channel State Information (CSI).
Considering performance, computational complexity and practical application, especially in massive MIMO scenarios, how to improve the spectrum efficiency and performance of SM-MIMO systems by using beamforming technology, while achieving its practical application is still a hot and pending issue.
Disclosure of Invention
Aiming at the problems, the invention provides a zero forcing beamforming auxiliary single-layer transmission technology for a multi-user SM/SSK MIMO system based on the great advantages of a CSI auxiliary MIMO system, the zero forcing beamforming auxiliary single-layer transmission technology is defined as MU-SZF-SM/MU-SZF-SSK in the invention, the scheme of the invention directly carries out beamforming on CSI (channel State information) of a channel, and carries out beamforming or precoding operation on a signal through a zero forcing-based beamforming technology. Under the framework, a transmitting end can put all information bits into one data stream for transmission, and can obtain beamforming gain at the transmitting end and receiving end through all antennas at the transmitting end and receiving end, and obtain receiving diversity gain at the receiving end through combined detection of all receiving antennas.
The technical scheme of the invention is as follows:
the basic technical scheme adopted by the invention is to adopt a binary digital signal space modulation method of a multi-input multi-output system and assume that a transmitting end knows channel state information. The system has s users, each user having NtRoot transmitting antenna, NrRoot receiving antennas for transmitting each group b1+b2A digital signal of bits. Wherein front b1Bit mapping to antenna number, i.e. antenna to be activated after spatial modulation, and finally b2And mapping the bits into APM symbols, carrying out precoding processing on the obtained signals, carrying out maximum likelihood detection at a receiving end, and decoding and outputting.
In conventional zero-forcing based multi-user MIMO techniques (MIMO-ZF), it is adapted to full stream transmission, i.e. the number of transmitted streams per user is equal to the number of receiving antennas, so its spectral efficiency, i.e. the constellation order of each stream multiplied by the total number of streams. When the number of transmission streams per user of the conventional MIMO-ZF is smaller than the number of receiving antennas, some antennas at the receiving end cannot receive signals, and the receiving antennas cannot be fully utilized. Especially when the conventional multi-user MIMO-ZF performs its single stream transmission, it is even impossible to achieve the receive diversity gain because only one target antenna can receive the signal in this case, and thus joint detection cannot be performed on all the received signals. The innovation of the scheme is that a spatial modulation technology is integrated in the traditional multi-user MIMO-ZF technology, the CSI information of a channel is directly subjected to beam forming, all information bits are put into one data stream for transmission for each user, the signal is subjected to precoding operation through a zero-forcing beam forming technology, and all antennas are utilized to perform combined detection at a receiving end.
Transmitting terminal
In MU-SZF-SM, bit information is mapped into transmitting antenna serial number and constellation point symbol through grouping, and the frequency spectrum efficiency B of the system is s (log) at the moment, assuming that M-order modulation is adopted2(Nt)+log2(M)), where s is the number of users. Front log2(Nt) Binary to decimal conversion of the bit, the converted value being used to select the transmitting antenna i which activates the 1 st user1In the next log2(M) bit binary to decimal conversion, the converted value being used to select the constellation point symbol x sent1jLog of next2(Nt) Bit mapping to select the transmit antenna i that activates the 2 nd user2Serial number of (2), log2(M) bit binary to decimal, the converted value is mapped to the constellation point symbol x selected and sent by the user 22jAnd so on, the transmitting antenna i of the s-th usersActivated, and selects the constellation point symbol to be transmitted as xsjThese conventional modulation constellations may be multilevel phase shift keying constellations (PSK) or quadrature amplitude modulation constellations (QAM), and the activated transmit antenna matrix and the constellation point symbol matrix selected for transmission are then represented as follows:
i=[i1,i2,…,im,…is]T#(1)
Figure BDA00030416350600000311
under the multi-user MIMO configuration, the channel matrix H of the whole system has NtRoot transmitting antenna (N)rS) receiving antennas, wherein N is configured per userrRoot receiving antenna, and is thus one (N)r*s)*NtA matrix of dimensions, represented as follows:
H=[H1,H2,…,Hm,…Hs]T#(3)
Figure BDA0003041635060000031
Figure BDA0003041635060000032
the transmitted symbols of this system before beamforming are represented as follows:
x=[x1,x2,…xm,…,xs]T#(6)
Figure BDA0003041635060000033
wherein in the formula
Figure BDA0003041635060000034
Is the ith user of the mth usermA channel column vector from the root transmit antenna to all receive antennas.
Figure BDA0003041635060000035
Each element in (a) obeys an independent gaussian distribution CN (0,1),
Figure BDA0003041635060000036
is a mapping symbol of the APM constellation of the mth user,
Figure BDA0003041635060000037
is the transmit power. If it is not
Figure BDA0003041635060000038
Then it is the MU-SZF-SSK system if
Figure BDA0003041635060000039
Is a conventional APM symbol, and is then a MU-SZF-SM system. Transmission signal x of mth user under MU-SZF-SM/MU-SZF-SSK MIMO systemmIs a number NrA vector of x 1, which is a vector consisting of log2(Nt) And log2A single stream signal of (M) bits. It is noted that for each user, all information bits are placed in one data stream
Figure BDA00030416350600000310
In this regard, it is different from conventional multi-user MIMO-ZF full stream transmission. In particular, for the scheme proposed by the invention, the transmission layer of each user does not follow NrIs increased, which is much different from the conventional multi-user MIMO-ZF system, because the transmission layer of each user in the conventional multi-user MIMO-ZF is generally identical to the receiving antenna NrAnd (4) correlating. For the receiving antenna is NrFor each user in a multi-user MIMO-ZF system, generating NrX 1 dimensional transmission vector of NrA different APM symbol composition, considered as NrStreaming, the amount of information transmitted being Nr×log2M bits. However, the number of transmission streams per user in MU-SZF-SM/MU-SZF-SSK proposed by the present invention does not follow NrBecause of the log of the transmitted signal2(Nt)+log2(M) bit information associated only with the number N of transmitting antennastAnd modulation order M. Thus, the transmission signal x is a vector in the MU-SZFSM/MU-SZF-SSK MIMO system, which transfers s logs2(Nt)+log2A single-layer data stream of (M) bits, which avoids severe interference and thus achieves good performance. In addition, for each user, the signal sent out includes not only the APM symbol
Figure BDA0003041635060000041
Also includes spatial channels
Figure BDA0003041635060000042
The transmitter transmits the channel information
Figure BDA0003041635060000043
Sent directly to the receiver, yet still utilize the spatial channels to convey information.
The transmitted symbols then need to be precoded, assuming the simplest zero-forcing (ZF) precoding algorithm is used, with the precoding matrix as follows:
W=HH(HHH)-1#(8)
therefore, the transmitted signal of each user after zero-forcing beamforming can be expressed as
Figure BDA0003041635060000044
Wherein, W is a precoding matrix, and H is a channel matrix of the whole system. In addition, if the power normalization is performed on the transmitted symbol and α is the power normalization factor, then
Figure BDA0003041635060000045
Receiving end
For each user, the signal obtained by the receiving end after passing through the channel can be expressed as follows:
Figure BDA0003041635060000046
wherein N is (s N)r) X 1-dimensional gaussian white noise vector, elements obeying CN (0,1),
Figure BDA0003041635060000047
for transmitting power, matrix
Figure BDA0003041635060000048
Is N in MIMO systemr×NrOf the power normalization matrix, here
Figure BDA0003041635060000049
Figure BDA00030416350600000410
Is considered to be a modified transmitted sparse signal vector. After the power is normalized, the signals obtained by the receiving end are detected by a maximum likelihood method:
Figure BDA00030416350600000411
for conventional beamforming of MIMO-ZF, it is difficult to achieve a reception diversity gain even in the case where a receiving end has multiple antennas. This is because the pre-processing of multi-user MIMO-ZF for multi-stream transmission is achieved by pre-canceling the interference at the transmitter without requiring joint detection between multiple antennas at the receiving end. Thus, MIMO-ZF employs multi-stream transmission, each receive antenna obtaining the target APM symbol previously formed at the transmitter without interference.
The invention has the beneficial effects that: the MU-SZF-SM/MU-SZF-SSK provided by the invention is elaborately designed for single stream transmission, and not only realizes the transmit beam forming gain of a transmitter, but also realizes the space diversity gain of a receiver in a multi-user SM-MIMO system. Since MU-SZF-SM/MU-SZF-SSK has significant beamforming gain and receive diversity gain, more bits can be injected in a single data stream, thereby achieving higher transmission data rates and good performance.
Drawings
FIG. 1 is a schematic diagram of a MIMO configuration system model according to the present invention;
FIG. 2 is a diagram comparing the MU-MIMO-ZF and MU-SZF-SSK received by 32-sender 2-user 4.
Detailed Description
The technical scheme of the invention is described in detail in the following with reference to the accompanying drawings and embodiments:
as shown in fig. 1, a MIMO configuration system model of MU-SZF-SM/MU-SZF-SSK proposed by the present invention is briefly shown, and the model is roughly divided into four modules, a precoding module, a CSI-structured space symbol module, a transmitting end module, and a receiving end module.
Examples
In this example, the system adopts SSK modulation, and the number of transmitting antennas Nt32, the number of users is 2, the number of receiving antennas is N r4, the total spectral efficiency of the system is therefore B ═ s (log)2(Nt)+log2(M)) -10 bps/Hz, then the activated transmit antenna matrix and the constellation point symbol matrix selected for transmission are represented as follows:
i=[i1,i2]T#(12)
Figure BDA0003041635060000051
in MU-MIMO configuration, the channel matrix H of the entire system has 32 transmit antennas and 8 receive antennas, where 4 receive antennas are configured per user, and thus is an 8 × 32 dimensional matrix. The transmitting end learns that the channel state information is as follows through the feedback link:
Figure BDA0003041635060000052
H=[H1,H2]T#(15)
if the bit data to be transmitted by the 2 nd user is b 00101, the 5 bits 00101 are spatial bits and are mapped to a spatial symbol h according to the mapping rule25=[h1,25 h2,25 … h4,25]TSince SSK modulation is employed, it is determined
Figure BDA0003041635060000061
The symbol to be transmitted is
Figure BDA0003041635060000062
Wherein, in the formula h25Channel column vectors from the 5 th transmit antenna to all receive antennas for the 2 nd user. h is25Each element in (a) obeys an independent gaussian distribution CN (0,1),
Figure BDA0003041635060000063
is a mapping symbol of the APM constellation of the 2 nd user,
Figure BDA0003041635060000064
is the transmit power.Transmission signal x of 2 nd user under MU-SZF-SM/MU-SZF-SSK MIMO system2Is a 4 x 1 vector consisting of2(32) 5 and log2(2) 1-bit single stream signal. It is noted that for user 2, all information bits are placed in one data stream
Figure BDA0003041635060000065
In this regard, it is different from conventional multi-user MIMO-ZF full stream transmission. In particular, in the MU-SZF-SSK example presented above, because of the log of the transmitted signal2(32)+log2(2) The bit information is related only to the number of transmit antennas and the modulation order. Thus, the transmit signal x is a vector in the MU-SZFSM/MU-SZF-SSK MIMO system, which delivers 2 logs2(32)+log2(2) A single layer stream of bits, which avoids severe interference and thus achieves good performance. In addition, for user 2, the signal sent out includes not only the APM symbol
Figure BDA0003041635060000066
And also includes a spatial channel h25The transmitter transmits the channel information h25Sent directly to the receiver, yet still utilize the spatial channels to convey information.
Then precoding is carried out, and the precoding matrix is W ═ HH(HHH)-1And if α is a power normalization factor, then α ═ Wh25|2Therefore, the final transmission signal form of the transmitting end is:
Figure BDA0003041635060000067
the modulation and precoding process of the system is realized through the steps, and the form of the received signal after the power normalization factor is removed after the signal passes through the channel is as follows:
Figure BDA0003041635060000068
where n is an 8 x 1 dimensional Gaussian white noise vector, the elements obey CN (0,1),
Figure BDA0003041635060000069
for transmitting power, matrix
Figure BDA00030416350600000610
Figure BDA00030416350600000611
Is a 4 x 4 power normalization matrix in MIMO systems, where
Figure BDA00030416350600000612
After the power is normalized, the signals obtained by the receiving end are detected by a maximum likelihood method:
Figure BDA0003041635060000071
it can be seen from the final equation that the system is a MIMO system with 2 users 32 transmitting and 4 receiving, performance gain is introduced by combining the beamforming technology, and only the ith user is seen from the receiving end2The root antenna needs to be detected. The scheme has no limit on the number of the receiving and transmitting antennas, is flexible and can bring greater performance improvement. The improvement of the error code performance of the invention is specifically analyzed by combining the simulation result.
Fig. 2 shows the comparison of the error rates of the proposed scheme of the present invention under the conditions of 32 transmitting antennas, 2 users and 4 receiving antennas, and the SSK modulation is adopted to make the spectral efficiency B ═ s (log)2(Nt)+log2(M)) -10 bps/Hz, while for MU-MIMO-ZF systems in this case full-stream transmission, the spectral efficiency is B-s N r8 bps/Hz. Generally, the change of the bit error rate is slowly changed along with the signal-to-noise ratio, the spectral efficiency of the scheme is higher than that of the traditional MU-MIMO-ZF under the condition of low signal-to-noise ratio (below 6 dB), the bit error rate is lower than that of the traditional MU-MIMO-ZF, and the performance of the scheme is better.

Claims (1)

1. A multi-user Massive MIMO system signal transmitting and receiving method, wherein the system has s users, each user has NtRoot transmitting antenna, NrRoot receiving antennas for transmitting each group b1+b2Digital signal of bits, in which the front b1Bit mapping to antenna number, post b2Mapping bits into APM symbols; it is characterized by comprising:
transmitting terminal
Assuming that M-order modulation is used, the spectral efficiency B of the system is s (log)2(Nt)+log2(M)), front log2(Nt) Binary to decimal conversion of the bit, the converted value being used to select the transmitting antenna i which activates the 1 st user1In the next log2(M) bit binary to decimal conversion, the converted value being used to select the constellation point symbol x sent1jLog of next2(Nt) Bit mapping to select the transmit antenna i that activates the 2 nd user2Log of (2), then2(M) bit binary to decimal, the converted value is mapped to the constellation point symbol x selected and sent by the user 22jAnd so on, the transmitting antenna i of the s-th usersActivated, and selects the constellation point symbol to be transmitted as xsjThe modulation constellation can be a multilevel phase shift keying constellation or a quadrature amplitude modulation constellation, and the activated transmitting antenna matrix and the constellation point symbol matrix selected to be transmitted are represented as follows:
i=[i1,i2,…,im,…is]T
Figure FDA0003041635050000011
the channel matrix H of the system is:
H=[H1,H2,…,Hm,…Hs]T
Figure FDA0003041635050000012
Figure FDA0003041635050000013
the transmitted symbols before beamforming are:
x=[x1,x2,…xm,…,xs]T
Figure FDA0003041635050000014
wherein the content of the first and second substances,
Figure FDA0003041635050000015
is the ith user of the mth usermThe channel column vectors for the root transmit antenna to all receive antennas,
Figure FDA0003041635050000016
each element in (a) obeys an independent gaussian distribution, xjmIs a mapping symbol of the APM constellation of the mth user,
Figure FDA0003041635050000021
is the transmit power; transmission signal x of mth usermIs a number NrA vector of x 1, which is a vector consisting of log2(Nt) And log2Composed of a single stream of (M) bits, all information bits being placed in a data stream for each user
Figure FDA0003041635050000022
The above step (1);
precoding the transmission symbol to obtain a transmission signal
Figure FDA0003041635050000023
Figure FDA0003041635050000024
W=HH(HHH)-1
Wherein, alpha is a power normalization factor,
Figure FDA0003041635050000025
receiving end
For each user, the signals obtained by the receiving end after passing through the channel are:
Figure FDA0003041635050000026
wherein N is (s x N)r) X 1-dimensional Gaussian white noise vector, matrix
Figure FDA0003041635050000027
Is N in MIMO systemr×NrThe power of the power normalization matrix of (a),
Figure FDA0003041635050000028
Figure FDA0003041635050000029
is the modified transmitted sparse signal vector;
carrying out maximum likelihood method detection on signals obtained by a receiving end:
Figure FDA00030416350500000210
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