CN1411190A - Vertical Bell laboratory ranked space and time code array linear detecting method - Google Patents

Vertical Bell laboratory ranked space and time code array linear detecting method Download PDF

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CN1411190A
CN1411190A CN01135642A CN01135642A CN1411190A CN 1411190 A CN1411190 A CN 1411190A CN 01135642 A CN01135642 A CN 01135642A CN 01135642 A CN01135642 A CN 01135642A CN 1411190 A CN1411190 A CN 1411190A
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张泉岭
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Huawei Technologies Co Ltd
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Abstract

一种V-BLAST阵列线性检测方法,包括:接收N维列向量之后在存储器中设置初始化条件;确定线性去相关检测的权值,并将该权值与接收列向量相乘;对所得到结果采用软判决方法进行量化,求出接收信号中最强的信号;从接收的列向量信号中去除所求出的最强的信号,接着在去除最强的子数据流的接收信号中再检测出其中最强的子数据流,再作为干扰去除。这样依次检测出所有的“最强的子数据流”信号,并对检测出来的信号进行量化,得到发射方发射的子数据流,即为所检测出的列向量。采用软判决的方法对接收信号进行量化,其中软判决算法采用双曲正切非线性检测的方法,可以更加准确地在接收方检测出发射方发射的信号,提高现有无线通信系统中解调和解码的精度。A V-BLAST array linear detection method, comprising: setting initialization conditions in a memory after receiving an N-dimensional column vector; determining a weight value for linear decorrelation detection, and multiplying the weight value with the received column vector; Use the soft decision method for quantization to obtain the strongest signal in the received signal; remove the obtained strongest signal from the received column vector signal, and then detect it in the received signal after removing the strongest sub-data stream Among them, the strongest sub-data flow is removed as interference. In this way, all signals of the "strongest sub-data stream" are sequentially detected, and the detected signals are quantized to obtain the sub-data stream transmitted by the transmitter, which is the detected column vector. The received signal is quantified by the method of soft decision, in which the soft decision algorithm adopts the method of hyperbolic tangent nonlinear detection, which can detect the signal transmitted by the transmitter at the receiver more accurately, and improve the demodulation and coordination in the existing wireless communication system. The decoding precision.

Description

垂直的贝尔实验室分层空时编码阵列线性检测方法Vertical Bell Labs Layered Space-Time Coded Array Linear Detection Method

技术领域technical field

本发明涉及一种码分多址无线系统中阵列线性检测方法,尤其涉及一种码分多址无线系统中垂直的贝尔实验室分层空时编码(Vertical-Bell Laboratories Layered Space Time,以下简称为V-BLAST)阵列线性检测方法。The present invention relates to a kind of array linear detection method in code division multiple access wireless system, especially relate to a kind of Vertical-Bell Laboratories Layered Space Time code (Vertical-Bell Laboratories Layered Space Time, hereinafter referred to as for short) in code division multiple access wireless system V-BLAST) array linear detection method.

背景技术Background technique

V-BLAST是一种高速率数据传输技术,它在发射和接收端均使用多阵元天线,能达到远超过已有技术的传输速率。实验室结果表明在平均信噪比为24~34dB时,传输效率可达到20~40bps/Hz(Bit PerSecond/Hertz,比特每秒每赫兹),这是应用已有的技术所不能达到的。V-BLAST is a high-speed data transmission technology. It uses multi-element antennas at both the transmitting and receiving ends, and can achieve a transmission rate far exceeding the existing technology. Laboratory results show that when the average signal-to-noise ratio is 24-34dB, the transmission efficiency can reach 20-40bps/Hz (Bit Per Second/Hertz, bit per second per Hertz), which cannot be achieved by applying existing technologies.

V-BLAST技术应用多径环境的传播特性,将散射多径看作并行的子数据流来增强传输的准确性,而不是降低传输的准确性。V-BLAST技术将用户数据流分成各个子数据流,利用阵列天线同时发送并行的子数据流,所有的子数据流以同样的频带传输,因此频谱效率非常高。因为用户数据以并行的多个天线传输,有效传输速率与发射天线个数成正比。The V-BLAST technology applies the propagation characteristics of the multipath environment, and regards the scattered multipath as parallel sub-data streams to enhance the accuracy of the transmission instead of reducing the accuracy of the transmission. The V-BLAST technology divides the user data stream into sub-data streams, and uses the array antenna to transmit parallel sub-data streams at the same time. All sub-data streams are transmitted in the same frequency band, so the spectrum efficiency is very high. Because user data is transmitted with multiple antennas in parallel, the effective transmission rate is proportional to the number of transmit antennas.

在接收端,同样使用阵列天线来接收发射信号及其散射信号。每个接收天线都接收到所有的子数据流。如果多径散射足够多,那么每个子数据流的散射都不同,并且子数据流的发射天线在空间上有所不同。这些子数据流的散射差异使子数据流能够被识别和检出。在线性去相关检测子数据流的过程中,首先检测出最强的子数据流,然后最强的子数据流作为干扰从接收信号中去除;接着在去除最强的子数据流的接收信号中再检测出其中最强的子数据流,再作为干扰去除。这样依次检测出所有的“最强的子数据流”信号,并对检测出来的信号还要进行量化,即为发射方发射的子数据流。At the receiving end, an array antenna is also used to receive the transmitted signal and its scattered signal. Each receive antenna receives all sub-streams. If there is enough multipath scattering, the dispersion is different for each substream, and the transmit antennas for the substreams are spatially different. The difference in scatter of these sub-streams enables sub-streams to be identified and detected. In the process of linear decorrelation detection of sub-data streams, the strongest sub-data stream is detected first, and then the strongest sub-data stream is removed from the received signal as interference; then in the received signal after removing the strongest sub-data stream Then detect the strongest sub-data stream, and remove it as interference. In this way, all signals of the "strongest sub-data stream" are sequentially detected, and the detected signals are further quantized, which is the sub-data stream transmitted by the transmitter.

在V-BLAST技术中,假设信道传输特性对于发射天线来说是未知的,对于接收天线来说是已知的,接收天线的阵元数目大于等于发射天线的阵元数目。In V-BLAST technology, it is assumed that the channel transmission characteristics are unknown for the transmitting antenna and known for the receiving antenna, and the number of array elements of the receiving antenna is greater than or equal to the number of array elements of the transmitting antenna.

在V-BLAST阵列检测接收机中,对检测出来的信号还要进行量化,用来得到更为准确的发射信号。对于没有经过信道编码的信号,量化过程采用一个硬判决过程,在相应调制方法的星座图上把与检测出来的信号欧几里德距离最近的点作为这个信号的量化值。对于经过信道编码的信号,如果采用硬判决的量化方法,量化误差较大,影响以后的解码精度,所以需采用软判决的方法进行量化。In the V-BLAST array detection receiver, the detected signal is also quantized to obtain a more accurate transmitted signal. For signals that have not undergone channel coding, the quantization process adopts a hard decision process, and the point with the closest Euclidean distance to the detected signal is used as the quantization value of the signal on the constellation diagram of the corresponding modulation method. For the channel-coded signal, if the hard-decision quantization method is used, the quantization error will be large, which will affect the decoding accuracy in the future, so the soft-decision method must be used for quantization.

发明内容Contents of the invention

鉴于已有技术的不足之处,本发明的目的是提供一种阵列线性检测方法,以更加准确地在接收方检测出发射方发射的信号。In view of the shortcomings of the prior art, the purpose of the present invention is to provide an array linear detection method to more accurately detect the signal transmitted by the transmitter at the receiver.

为达到以上目的,本发明提供了一种V-BLAST阵列线性检测方法,,其中发射方发射Symbol(符号)M维列向量 a → = ( a 1 , a 2 , · · · , a M ) T , 发射方到接收方的信道传输矩阵为HN*M,HN*M中hij是从发射阵元j到接收阵元i的传输函数,M≤N,所述方法包括:To achieve the above object, the present invention provides a V-BLAST array linear detection method, wherein the transmitting side transmits the Symbol (symbol) M-dimensional column vector a &Right Arrow; = ( a 1 , a 2 , &Center Dot; &Center Dot; &Center Dot; , a m ) T , The channel transfer matrix from the transmitter to the receiver is H N*M , where h ij in H N*M is the transfer function from the transmitting array element j to the receiving array element i, M≤N, and the method includes:

a)接收Symbol N维列向量 r → = ( r 1 , r 2 , · · · , r N ) T ; a) Receive Symbol N-dimensional column vector r &Right Arrow; = ( r 1 , r 2 , · &Center Dot; &Center Dot; , r N ) T ;

b)在存储器中设置初始化条件:i=1,G1=H+,k1=argminj‖(G1)j2(G1)j表示G1的第j个行向量,k1=argminj‖(G1)j2表示在G1的行向量中找出范数最小的一个向量,并将这个向量的行序数(1,2,3…M)赋值给k1b) Set initialization conditions in the memory: i=1, G 1 =H + , k 1 =argmin j ‖(G 1 ) j2 (G 1 ) j represents the jth row vector of G 1 , k 1 = argmin j ‖(G 1 ) j2 means to find a vector with the smallest norm among the row vectors of G 1 , and assign the row number (1, 2, 3...M) of this vector to k 1 ;

c)将找到的第ki个向量作为权值( w → k i = ( G i ) k i T ),确定线性去相关检测的权值 并将该权值与接收Symbol列向量相乘,得到第ki个Symbol( y k i = w → k i T r → i );c) Use the k ith vector found as the weight ( w &Right Arrow; k i = ( G i ) k i T ), determine the weight of linear decorrelation detection And multiply the weight with the received Symbol column vector to get the k ith Symbol( the y k i = w &Right Arrow; k i T r &Right Arrow; i );

d)对所得到的第ki个Symbol采用软判决方法进行量化( ),求出接收信号 中第i个最强的信号

Figure A0113564200063
d) Quantize the k i th Symbol obtained using a soft decision method ( ), find the received signal The ith strongest signal in
Figure A0113564200063

e)从接收的列向量信号中去除步骤d)中所求出的最强的信号

Figure A0113564200064
(
Figure A0113564200065
),得到将
Figure A0113564200066
中已经检测出的Symbol对应的列向量去除后的矩阵
Figure A0113564200067
e) Remove the strongest signal obtained in step d) from the received column vector signal
Figure A0113564200064
(
Figure A0113564200065
), get the
Figure A0113564200066
The matrix after removing the column vector corresponding to the Symbol that has been detected in
Figure A0113564200067

f)求出 的伪逆,( G i + 1 = H k i ± );f) find out Pseudo-inverse of , ( G i + 1 = h k i ± );

g)在Gi+1的行向量中找出范数最小的一个向量,并将这个向量的行序数(1,2,3…M)赋值给k1( k i + 1 = arg min j ∉ { k 1 , k 2 , · · · k i } | | ( G i + 1 ) j | | 2 )g) Find a vector with the smallest norm among the row vectors of G i+1 , and assign the row number (1, 2, 3...M) of this vector to k 1 ( k i + 1 = arg min j ∉ { k 1 , k 2 , &Center Dot; &Center Dot; &Center Dot; k i } | | ( G i + 1 ) j | | 2 )

h)如果i<M,则i=i+1,回到步骤c);h) If i<M, then i=i+1, return to step c);

i)如果i=M,则所求出的M个最强的信号(

Figure A01135642000613
...、
Figure A01135642000614
)即为所检测出的列向量。i) If i=M, then the M strongest signals obtained (
Figure A01135642000613
...,
Figure A01135642000614
) is the detected column vector.

上述的V-BLAST阵列线性检测方法,其中所述软判决法为双曲正切量化法。In the above V-BLAST array linear detection method, wherein the soft decision method is a hyperbolic tangent quantization method.

上述的V-BLAST阵列线性检测方法,其中所述发射方的发射Symbol M维列向量 a &RightArrow; = ( a 1 , a 2 , &CenterDot; &CenterDot; &CenterDot; , a M ) T 为经QPSK(Quadrature PhaseShift Keying四相移相键控)方法调制的信号。The above-mentioned V-BLAST array linear detection method, wherein the emitting Symbol M-dimensional column vector of the emitting party a &Right Arrow; = ( a 1 , a 2 , &Center Dot; &Center Dot; &CenterDot; , a m ) T It is a signal modulated by QPSK (Quadrature PhaseShift Keying) method.

上述的V-BLAST阵列线性检测方法,其中所述双曲正切量化法为:

Figure A01135642000616
The above-mentioned V-BLAST array linear detection method, wherein the hyperbolic tangent quantification method is:
Figure A01135642000616

其中, y k i = w &RightArrow; k i T r &RightArrow; i = w &RightArrow; k i T ( h &RightArrow; k i a k i + &Sigma; l = i + 1 M h &RightArrow; k i a k i + v ) = a k i + w &RightArrow; k i T ( &Sigma; l = i + 1 M h &RightArrow; k i a k i + v ) &Sigma; l = i + 1 M h &RightArrow; k i a k i + v 是干扰和噪声项,服从高斯分布,方差为 in, the y k i = w &Right Arrow; k i T r &Right Arrow; i = w &Right Arrow; k i T ( h &Right Arrow; k i a k i + &Sigma; l = i + 1 m h &Right Arrow; k i a k i + v ) = a k i + w &Right Arrow; k i T ( &Sigma; l = i + 1 m h &Right Arrow; k i a k i + v ) &Sigma; l = i + 1 m h &Right Arrow; k i a k i + v Is the interference and noise items, subject to Gaussian distribution, the variance is

本发明提出的采用线性去相关检测的V-BLAST阵列检测接收机,采用软判决的方法对接收信号进行量化,其中软判决算法采用双曲正切非线性检测的方法,可以更加准确地在接收方检测出发射方发射的信号,提高现有无线通信系统中解调和解码的精度。The V-BLAST array detection receiver using linear decorrelation detection proposed by the present invention adopts the method of soft decision to quantize the received signal, wherein the soft decision algorithm adopts the method of hyperbolic tangent nonlinear detection, which can more accurately The signal transmitted by the transmitter is detected, and the accuracy of demodulation and decoding in the existing wireless communication system is improved.

附图说明Description of drawings

图1为V-BLAST的下行链路的发射过程图。FIG. 1 is a diagram of the downlink transmission process of V-BLAST.

图2为V-BLAST的下行链路的接收过程图。FIG. 2 is a diagram of the receiving process of the downlink of V-BLAST.

图3为本发明采用软判决的V-BLAST阵列线性检测方法流程图。FIG. 3 is a flow chart of the V-BLAST array linear detection method using soft decision in the present invention.

具体实施方式Detailed ways

V-BLAST的下行链路的发射过程如图1所示。需要发送的信号在步骤110进行编码;在步骤120,对于经过编码的信号进行速率匹配;在步骤130,对于经过速率匹配的信号进行交织;在步骤140,对于交织后的信号进行载波调制,调制方式可以根据具体需要而定,如可采用QPSK调制、8PSK调制(8-phase Phase Shift Keying四相移相键控)、16QAM(Quadrature Amplitude Modulation,即正交幅度调制)调制等;在步骤150,根据需要将调制后的信号分拆为M个信号,形成一个M维列向量,其中M代表发射天线的阵元数;在步骤160,将该M维列向量使用相同的扩频码和扰码进行扩频和加扰;之后在步骤170,通过由M个天线阵元组成的天线阵将扩频和扰码后的该M维列向量发射出去。其中,M维列向量的第m(1<m<M)个元素经第m个天线发射出去。The downlink transmission process of V-BLAST is shown in FIG. 1 . The signal to be sent is encoded in step 110; in step 120, rate matching is performed on the encoded signal; in step 130, interleaving is performed on the rate matched signal; in step 140, carrier modulation is performed on the interleaved signal, modulation Mode can be determined according to specific needs, such as QPSK modulation, 8PSK modulation (8-phase Phase Shift Keying), 16QAM (Quadrature Amplitude Modulation, i.e. quadrature amplitude modulation) modulation etc. can be adopted; in step 150, Split the modulated signal into M signals as required to form an M-dimensional column vector, where M represents the number of array elements of the transmitting antenna; in step 160, use the same spreading code and scrambling code for the M-dimensional column vector Perform frequency spreading and scrambling; then in step 170, the M-dimensional column vector after spreading and scrambling is transmitted through an antenna array composed of M antenna elements. Wherein, the mth (1<m<M) element of the M-dimensional column vector is transmitted through the mth antenna.

V-BLAST的下行链路的接收过程如图2所示。在步骤210,N个天线阵元组成的接收天线阵接收所发射的经多径散射而形成的N维信号;在步骤220,将各天线阵元接收的N维信号分别进行解扩解扰,得到一组N维列向量信号;在步骤230,应用V-BLAST线性去相关检测方法检测出发射方所发射的M维列向量信号;在步骤240,将检测出的该M维列向量信号再经过与发射方调制方法相对应的载波解调方式(如发射方采用QPSK方式调制经过交织的信号,则接收方采用相应的QPSK载波解调方式对检测出的信号进行解调);在步骤250,对于解调后的信号进行反交织;在步骤260,将反交织得到的信号进行译码,即可得到发射方所发射的数据信号。The receiving process of the downlink of V-BLAST is shown in FIG. 2 . In step 210, the receiving antenna array formed by N antenna elements receives the transmitted N-dimensional signal formed by multipath scattering; in step 220, the N-dimensional signal received by each antenna element is despread and descrambled respectively, Obtain a set of N-dimensional column vector signals; in step 230, apply the V-BLAST linear decorrelation detection method to detect the M-dimensional column vector signals emitted by the transmitting party; in step 240, regenerate the detected M-dimensional column vector signals Through the carrier demodulation mode corresponding to the transmitter's modulation method (as the transmitter adopts the QPSK mode to modulate the interleaved signal, the receiver adopts the corresponding QPSK carrier demodulation mode to demodulate the detected signal); in step 250 , perform deinterleaving on the demodulated signal; in step 260, decode the signal obtained by deinterleaving to obtain the data signal transmitted by the transmitter.

在上述的接收方法中,V-BLAST线性去相关检测方法是V-BLAST的核心内容,它利用了多用户检测中迫零判决反馈的方法。即首先检测出最强的信号,然后将最强的信号作为干扰从接收信号中去除;接着在去除最强的信号的接收信号中再检测出其中最强的信号,再作为干扰去除;这样依次检测出所有的信号。则所求出的M个最强的信号即为所检测出的M维列向量。以下结合图3,将此方法详细描述如下。Among the above receiving methods, the V-BLAST linear decorrelation detection method is the core content of V-BLAST, which utilizes the zero-forcing decision feedback method in multi-user detection. That is, the strongest signal is detected first, and then the strongest signal is removed from the received signal as interference; then the strongest signal is detected in the received signal from which the strongest signal has been removed, and then removed as interference; All signals are detected. Then the obtained M strongest signals are the detected M-dimensional column vectors. The method is described in detail below with reference to FIG. 3 .

设发射方具有M个发射天线阵元,接收方具有N个接收天线阵元,该发射方到该接收方的信道传输矩阵为HN*M,hij是从发射阵元j到接收阵元i的传输函数,M≤N。假设发送方载波调制采用QPSK(Quadrature Phase Shift Keying四相移相键控)调制方式,发射Symbol M维列向量为 a &RightArrow; = ( a 1 , a 2 , &CenterDot; &CenterDot; &CenterDot; , a M ) T , 接收Symbol N维列向量为 r &RightArrow; 1 = H a &RightArrow; + v &RightArrow; - - - ( 1 ) Assuming that the transmitter has M transmit antenna elements, and the receiver has N receive antenna elements, the channel transmission matrix from the transmitter to the receiver is H N*M , and h ij is from the transmit array element j to the receive array element The transfer function of i, M≤N. Assuming that the carrier modulation of the sender adopts QPSK (Quadrature Phase Shift Keying) modulation, the M-dimensional column vector of the transmitting Symbol is a &Right Arrow; = ( a 1 , a 2 , &Center Dot; &Center Dot; &Center Dot; , a m ) T , Receive Symbol N-dimensional column vector as r &Right Arrow; 1 = h a &Right Arrow; + v &Right Arrow; - - - ( 1 )

其中,

Figure A0113564200083
是宽平稳噪声。采用线性去相关检测,设顺序设置S={k1,k2,…,Km}是接收Symbol N维列向量
Figure A0113564200084
中发射Symbol依次被检测出的顺序,权值向量 i=1,2,…,M满足
Figure A0113564200086
Figure A0113564200087
是H的第kj列。in,
Figure A0113564200083
is broad stationary noise. Using linear decorrelation detection, let the sequence setting S={k 1 , k 2 ,..., K m } be the receiving Symbol N-dimensional column vector
Figure A0113564200084
The order in which Symbols are detected in turn, the weight vector i=1, 2,..., M satisfies
Figure A0113564200086
Figure A0113564200087
is the k jth column of H.

采用本发明检测顺序的V-BLAST检测算法如下:The V-BLAST detection algorithm adopting the detection order of the present invention is as follows:

初始化设置:Initial settings:

i=1                               (3.1)i=1 (3.1)

G1=H+                           (3.2)G 1 =H + (3.2)

k1=argminj‖(G1)j2        (3.3)k 1 =argmin j ‖(G 1 ) j2 (3.3)

进行以下迭代过程: w &RightArrow; k i = ( G i ) k i T - - - ( 3.4 ) y k i = w &RightArrow; k i T r &RightArrow; i - - - ( 3.5 ) G i + 1 = H k i &PlusMinus; - - - ( 3.8 ) k i + 1 = arg min j &NotElement; { k 1 , k 2 , &CenterDot; &CenterDot; &CenterDot; k i } | | ( G i + 1 ) j | | 2 - - - ( 3.9 ) if ( i < M ) , i + + - - - ( 3.10 ) Do the following iterative process: w &Right Arrow; k i = ( G i ) k i T - - - ( 3.4 ) the y k i = w &Right Arrow; k i T r &Right Arrow; i - - - ( 3.5 ) G i + 1 = h k i &PlusMinus; - - - ( 3.8 ) k i + 1 = arg min j &NotElement; { k 1 , k 2 , &Center Dot; &Center Dot; &Center Dot; k i } | | ( G i + 1 ) j | | 2 - - - ( 3.9 ) if ( i < m ) , i + + - - - ( 3.10 )

以上各式的含义解释如下:在(3.2)中,H+表示发射方到该接收方的信道传输矩阵H的伪逆。在(3.3)中,(G1)j表示G1的第j个行向量。式(3.3)表示在G1的行向量中找出范数最小的一个向量,并将这个向量的行序数(1,2,3…M)赋值给k1。(3.4)表示将找到的第ki个向量作为权值。(3.5)表示将权值与接收Symbol列向量相乘,得到第ki个Symbol (3.6)表示将得到的第ki个Symbol

Figure A0113564200099
进行量化操作。(3.7)表示从接收信号中去除检测出的最强的信号。(3.8)中, 表示将中已经检测出的Symbol对应的列向量去除后得到的矩阵。(3.9)意义与(3.3)类似,表示在Gi+1的行向量中找出范数最小的一个向量,并将这个向量的行序数(1,2,3…M)赋值给Ki+1。(3.10)表示(3.4)到(3.10)的迭代一直进行,直到将所有M个Symbol检测出来为止。The meanings of the above formulas are explained as follows: In (3.2), H + represents the pseudo-inverse of the channel transmission matrix H from the transmitter to the receiver. In (3.3), (G 1 ) j denotes the jth row vector of G 1 . Equation (3.3) means finding a vector with the smallest norm among the row vectors of G 1 , and assigning the row number (1, 2, 3...M) of this vector to k 1 . (3.4) means to use the found ki -th vector as the weight. (3.5) indicates that the weight is multiplied by the received Symbol column vector to obtain the k ith Symbol (3.6) means the k ith Symbol to be obtained
Figure A0113564200099
Do quantization. (3.7) means removing the strongest detected signal from the received signal. In (3.8), express will The matrix obtained after removing the column vector corresponding to the Symbol that has been detected in . The meaning of (3.9) is similar to that of (3.3), which means to find a vector with the smallest norm in the row vector of G i+1 , and assign the row number (1, 2, 3...M) of this vector to K i+ 1 . (3.10) means that the iterations from (3.4) to (3.10) are carried out until all M Symbols are detected.

在(3.5)中, y k i = w &RightArrow; k i T r &RightArrow; i = w &RightArrow; k i T ( h &RightArrow; k i a k i + &Sigma; l = i + 1 M h &RightArrow; k i a k i + v ) - - - ( 3.11 ) = a k i + w &RightArrow; k i T ( &Sigma; l = i + 1 M h &RightArrow; k i a k i + v ) &Sigma; l = i + 1 M h &RightArrow; k i a k i + v 是干扰和噪声项,服从高斯分布,设方差为 那么第ki个Symbol的信噪比为 SNR = | a k i | 2 &sigma; k i 2 | | w &RightArrow; k i | | 2 - - - ( 3.12 ) In (3.5), the y k i = w &Right Arrow; k i T r &Right Arrow; i = w &Right Arrow; k i T ( h &Right Arrow; k i a k i + &Sigma; l = i + 1 m h &Right Arrow; k i a k i + v ) - - - ( 3.11 ) = a k i + w &Right Arrow; k i T ( &Sigma; l = i + 1 m h &Right Arrow; k i a k i + v ) &Sigma; l = i + 1 m h &Right Arrow; k i a k i + v Is the interference and noise items, subject to Gaussian distribution, set the variance as Then the signal-to-noise ratio of the kith Symbol is SNR = | a k i | 2 &sigma; k i 2 | | w &Right Arrow; k i | | 2 - - - ( 3.12 )

从(3.12)看出,(3.3)在G1的行向量中找出范数最小的一个向量作为权值,这意味着(3.5)式将检测出

Figure A0113564200101
中最强的Symbol。It can be seen from (3.12) that (3.3) finds a vector with the smallest norm in the row vector of G 1 as the weight value, which means that (3.5) will detect
Figure A0113564200101
The strongest Symbol in .

(3.6)表示采用软判决方法进行量化的过程。对于没有经过信道编码的信号,量化过程是一个硬判决过程,在相应调制方法的星座图上把与检测出来的信号欧几里德距离最近的点作为这个信号的量化值。对于经过信道编码的数据,如果采用硬判决的量化方法,量化误差较大,影响以后的解码精度,所以采用软判决的方法进行量化。本发明针对采用线性去相关检测的V-BLAST阵列检测接收机,提出了一种软判决算法进行量化,即采用双曲正切非线性检测的方法进行量化。例如,对于发射方载波调制采用QPSK调制,软判决算法可以表示为:

Figure A0113564200102
(3.6) represents the process of quantization using the soft decision method. For a signal that has not been channel coded, the quantization process is a hard decision process. On the constellation diagram of the corresponding modulation method, the point with the closest Euclidean distance to the detected signal is taken as the quantized value of the signal. For channel-coded data, if the hard-decision quantization method is used, the quantization error will be large, which will affect the subsequent decoding accuracy, so the soft-decision method is used for quantization. Aiming at the V-BLAST array detection receiver adopting linear decorrelation detection, the present invention proposes a soft decision algorithm for quantization, that is, adopts hyperbolic tangent nonlinear detection method for quantization. For example, if QPSK modulation is used for transmitter carrier modulation, the soft decision algorithm can be expressed as:
Figure A0113564200102

其中,tanh()表示双曲正切函数,real()表示取复数的实部,imag()表示取复数的虚部Among them, tanh() represents the hyperbolic tangent function, real() represents the real part of a complex number, and imag() represents the imaginary part of a complex number

这种软判决算法在最小均方误差意义上是最优的,它的优点在于:当信噪比比较大的时候, tanh ( 2 real ( y k i ) &sigma; k i 2 ) tanh ( 2 imag ( y k i ) &sigma; k i 2 ) 接近±1,趋向准确的值;当信噪比比较小的时候,信号湮没在干扰和噪声中,如果用硬判的方法,干扰和噪声对判决起决定性作用,判决出错的概率很大,而这时经过 tanh ( 2 real ( y k i ) &sigma; k i 2 ) tanh ( 2 imag ( y k i ) &sigma; k i 2 ) 的变换,可以减小出错的概率。使用软判决算法,可以更加准确地在接收方检测出发射方发射的信号,从而提高以后解调和解码的精度。采用软判决算法和线性去相关检测的V-BLAST阵列检测接收方法的流程图如图3所示。This soft decision algorithm is optimal in the sense of minimum mean square error, and its advantage is that when the signal-to-noise ratio is relatively large, tanh ( 2 real ( the y k i ) &sigma; k i 2 ) and tanh ( 2 imag ( the y k i ) &sigma; k i 2 ) close to ±1, tends to be accurate; when the signal-to-noise ratio is relatively small, the signal is submerged in the interference and noise. If the hard judgment method is used, the interference and noise play a decisive role in the judgment, and the probability of judgment error is very high. tanh ( 2 real ( the y k i ) &sigma; k i 2 ) and tanh ( 2 imag ( the y k i ) &sigma; k i 2 ) The transformation can reduce the probability of error. Using the soft decision algorithm, the signal transmitted by the transmitter can be detected more accurately at the receiver, thereby improving the accuracy of subsequent demodulation and decoding. The flow chart of the V-BLAST array detection and receiving method using soft decision algorithm and linear decorrelation detection is shown in FIG. 3 .

接收方接收到接收Symbol N维列向量 r &RightArrow; = ( r 1 , r 2 , &CenterDot; &CenterDot; &CenterDot; , r N ) T , 对各个列向量分别进行解扰、解扩之后,开始进行N维列向量信号的V-BLAST线性检测过程。首先,在步骤S10设置初始化条件:i=1,G1=H+,k1=argminj‖(G1)j2其中(G1)j表示G1的第j个行向量,k1=argminj‖(G1)j2表示在G1的行向量中找出范数最小的一个向量,并将这个向量的行序数(1,2,3…M)赋值给k1。在步骤S20,将找到的第ki个向量作为权值( w &RightArrow; k i = ( G i ) k i T ),确定线性去相关检测的权值 在步骤S30,并将该权值与接收Symbol列向量相乘,得到接收信号中第ki个Symbol( y k i = w &RightArrow; k i T r &RightArrow; i )。在步骤S40,对所得到的第ki个Symbol采用软判决方法进行量化(

Figure A0113564200116
)),求出接收信号 中第i个最强的信号 在步骤S50,从接收的列向量信号中去除步骤d)中所求出的最强的信号
Figure A0113564200119
( ),得到将 中已经检测出的Symbol对应的列向量去除后的矩阵
Figure A01135642001112
求出 的伪逆,( G i + 1 = H k i &PlusMinus; );在Gi+1的行向量中找出范数最小的一个向量( k i + 1 = arg mi n j &NotElement; { k 1 , k 2 , &CenterDot; &CenterDot; &CenterDot; k i } | | ( G i + 1 ) j | | 2 )。在步骤S60,判断i是否大于M,如果i<M,则设置i=i+1,重复步骤S20到步骤S60;如果i=M,则所求出的M个最强的信号( ...、
Figure A01135642001119
)即为所检测出的列向量。Receiver receives Symbol N-dimensional column vector r &Right Arrow; = ( r 1 , r 2 , &CenterDot; &CenterDot; &CenterDot; , r N ) T , After descrambling and despreading are performed on each column vector, the V-BLAST linear detection process of the N-dimensional column vector signal is started. First, set the initialization condition in step S10: i=1, G 1 =H + , k 1 =argmin j ∥(G 1 ) j2 where (G 1 ) j represents the jth row vector of G 1 , k 1 =argmin j ‖(G 1 ) j2 means finding a vector with the smallest norm among the row vectors of G 1 and assigning the row number (1, 2, 3...M) of this vector to k 1 . In step S20, the k i th vector found is used as the weight ( w &Right Arrow; k i = ( G i ) k i T ), determine the weight of linear decorrelation detection In step S30, the weight is multiplied by the received Symbol column vector to obtain the k i th Symbol in the received signal ( the y k i = w &Right Arrow; k i T r &Right Arrow; i ). In step S40, quantize the obtained k i th Symbol using a soft decision method (
Figure A0113564200116
)), find the received signal The ith strongest signal in In step S50, the strongest signal obtained in step d) is removed from the received column vector signal
Figure A0113564200119
( ), get the The matrix after removing the column vector corresponding to the Symbol that has been detected in
Figure A01135642001112
find out Pseudo-inverse of , ( G i + 1 = h k i &PlusMinus; ); Find a vector with the smallest norm in the row vector of G i+1 ( k i + 1 = arg mi no j &NotElement; { k 1 , k 2 , &Center Dot; &Center Dot; &Center Dot; k i } | | ( G i + 1 ) j | | 2 ). In step S60, judge whether i is greater than M, if i<M, then set i=i+1, repeat step S20 to step S60; If i=M, then the M strongest signals ( ...,
Figure A01135642001119
) is the detected column vector.

本发明保护范围阐明于所附权利要求书中。但是,凡是在本发明的宗旨之内的显而易见的修改亦应归于本发明的保护范围之内。The protection scope of the present invention is set forth in the appended claims. However, any obvious modifications within the gist of the present invention should also fall within the protection scope of the present invention.

Claims (5)

1.一种V-BLAST阵列线性去相关检测方法,,其中发射方发射Symbol(符号)M维列向量 a &RightArrow; = ( a 1 , a 2 , &CenterDot; &CenterDot; &CenterDot; , a M ) T , 发射方到接收方的信道传输矩阵为HN*M,HN*M中hij是从发射阵元j到接收阵元i的传输函数,M≤N,其特征在于所述方法包括:1. A V-BLAST array linear decorrelation detection method, wherein the transmitter transmits a Symbol (symbol) M-dimensional column vector a &Right Arrow; = ( a 1 , a 2 , &CenterDot; &CenterDot; &Center Dot; , a m ) T , The channel transfer matrix from the transmitter to the receiver is H N*M , h ij in H N*M is the transfer function from the transmitting array element j to the receiving array element i, M≤N, characterized in that the method includes: a)接收Symbol N维列向量 r &RightArrow; = ( r 1 , r 2 , &CenterDot; &CenterDot; &CenterDot; , r N ) T ; a) Receive Symbol N-dimensional column vector r &Right Arrow; = ( r 1 , r 2 , &Center Dot; &CenterDot; &CenterDot; , r N ) T ; b)在存储器中设置初始化条件:i=1,G1=H+b) Set initialization conditions in the memory: i=1, G 1 =H + , k1=argminj‖(G1)j2其中(G1)j表示G1的第j个行向量,k 1 = argmin j ‖(G 1 ) j2 where (G 1 ) j represents the jth row vector of G 1 , k1=argminj‖(G1)j2表示在G1的行向量中找出范数最小的一个k 1 =argmin j ‖(G 1 ) j2 means to find the one with the smallest norm among the row vectors of G 1 向量,并将这个向量的行序数赋值给k1vector, and assign the row number of this vector to k 1 ; c)将找到的第ki个向量作为权值, w &RightArrow; k i = ( G i ) k i T , 确定线性去相关检测的权值
Figure A0113564200026
并将该权值与所接收Symbol列向量相乘,得到第ki个Symbol, y k i = w &RightArrow; k i T r &RightArrow; i ;
c) Use the k i th vector found as the weight, w &Right Arrow; k i = ( G i ) k i T , Determining Weights for Linear Decorrelation Detection
Figure A0113564200026
And multiply the weight with the received Symbol column vector to get the k ith Symbol, the y k i = w &Right Arrow; k i T r &Right Arrow; i ;
d)对所得到的第ki个Symbol列向量采用软判决方法进行量化即求出接收信号
Figure A0113564200029
中第i个最强的信号
Figure A01135642000210
Figure A01135642000211
Figure A01135642000212
的估计值;
d) Quantize the k i th Symbol column vector obtained using a soft decision method get the received signal
Figure A0113564200029
The ith strongest signal in
Figure A01135642000210
Figure A01135642000211
yes
Figure A01135642000212
estimated value of
e)从接收的列向量信号中去除步骤d)中所求出的最强的信号 得到将 中已经检测出的Symbol对应的列向量去除后的矩阵
Figure A01135642000216
e) Remove the strongest signal obtained in step d) from the received column vector signal get will The matrix after removing the column vector corresponding to the Symbol that has been detected in
Figure A01135642000216
f)求出
Figure A01135642000217
的伪逆, G i + i = H k i &PlusMinus; ;
f) find out
Figure A01135642000217
the pseudo-inverse of G i + i = h k i &PlusMinus; ;
g)在Gi+1的行向量中找出范数最小的一个向量 k i + 1 = arg mi n j &NotElement; { k 1 , k 2 , &CenterDot; &CenterDot; &CenterDot; k i } | | ( G i + 1 ) j | | 2 g) Find a vector with the smallest norm in the row vector of G i+1 k i + 1 = arg mi no j &NotElement; { k 1 , k 2 , &Center Dot; &CenterDot; &Center Dot; k i } | | ( G i + 1 ) j | | 2 h)如果i<M,则i=i+1,回到步骤c);h) If i<M, then i=i+1, return to step c); i)如果i=M,则所求出的M个最强的信号
Figure A01135642000221
...
Figure A01135642000223
即为所检测出的列向量。
i) If i=M, the M strongest signals obtained
Figure A01135642000221
...
Figure A01135642000223
is the detected column vector.
2.如权利要求1所述的V-BLAST阵列线性检测方法,其特征在于:5所述软判决法为双曲正切量化法。2. The V-BLAST array linear detection method as claimed in claim 1, characterized in that: 5. said soft decision method is a hyperbolic tangent quantization method. 3.如权利要求1所述的V-BLAST阵列线性检测方法,其特征在于:所述发射方的发射Symbol M维列向量 a &RightArrow; = ( a 1 , a 2 , &CenterDot; &CenterDot; &CenterDot; , a M ) T 为经QPSK方法调制的信号。3. V-BLAST array linear detection method as claimed in claim 1, is characterized in that: the launch Symbol M dimension column vector of the launch party a &Right Arrow; = ( a 1 , a 2 , &CenterDot; &CenterDot; &Center Dot; , a m ) T It is a signal modulated by QPSK method. 4.如权利要求3所述的V-BLAST阵列线性检测方法,其特征在于:所述软判决法为双曲正切量化法。4. The V-BLAST array linear detection method as claimed in claim 3, characterized in that: said soft decision method is a hyperbolic tangent quantization method. 5.如权利要求4所述的V-BLAST阵列线性检测方法,其特征在于所述双曲正切量化法为: 5. V-BLAST array linear detection method as claimed in claim 4, is characterized in that described hyperbolic tangent quantization method is: 其中, y k i = w &RightArrow; k i T r &RightArrow; i = w &RightArrow; k i T ( h &RightArrow; k i a k i + &Sigma; l = i + 1 M h &RightArrow; k i a k i + v ) = a k i + w &RightArrow; k i T ( &Sigma; l = i + 1 M h &RightArrow; k i a k i + v ) in, the y k i = w &Right Arrow; k i T r &Right Arrow; i = w &Right Arrow; k i T ( h &Right Arrow; k i a k i + &Sigma; l = i + 1 m h &Right Arrow; k i a k i + v ) = a k i + w &Right Arrow; k i T ( &Sigma; l = i + 1 m h &Right Arrow; k i a k i + v ) &Sigma; l = i + 1 M h &RightArrow; k i a k i + v 是干扰和噪声项,服从高斯分布,方差为
Figure A0113564200037
v是宽平稳噪声;real()表示取复数的实部,imag()表示取复数的虚部。
&Sigma; l = i + 1 m h &Right Arrow; k i a k i + v Is the interference and noise items, subject to Gaussian distribution, the variance is
Figure A0113564200037
v is wide stationary noise; real() means to take the real part of the complex number, and imag() means to take the imaginary part of the complex number.
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CN101227254B (en) * 2008-01-23 2013-02-27 中兴通讯股份有限公司 Method for detecting V-BLAST in MIMO system
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CN114567339B (en) * 2022-02-24 2024-04-12 哲库科技(北京)有限公司 Baseband chip, signal demodulation method, terminal device, storage medium and product

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