CN109861729B - Single-user multi-antenna signal transceiver system and signal processing method in MIMO system - Google Patents
Single-user multi-antenna signal transceiver system and signal processing method in MIMO system Download PDFInfo
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Abstract
本发明公开了一种MIMO系统中的单用户多天线信号收发机及其信号处理方法,所述收发机包括基站和一个多天线用户,基站具有Nr根天线,用户具有Nt根天线,用户端和基站端均设置K条射频链路,所需射频链路数K远小于天线数,并采用特定的连接方式和信息处理方式,使得信号收发和处理性能相较于假设信道状态信息完全已知的传统收发系统仅略有损失;降低了建设成本和功耗损失,并且节约了建设接收机需要的占有面积。
The invention discloses a single-user multi-antenna signal transceiver in a MIMO system and a signal processing method thereof. The transceiver includes a base station and a multi-antenna user, the base station has Nr antennas, the user has Nt antennas, and the user end and The base station is equipped with K radio frequency links, and the required number of radio frequency links K is much smaller than the number of antennas, and a specific connection method and information processing method are adopted, so that the signal transmission and reception and processing performance is compared with the assumption that the channel state information is completely known. The traditional transceiver system has only a slight loss; the construction cost and power loss are reduced, and the occupation area required for the construction of the receiver is saved.
Description
技术领域technical field
本发明属于无线通信技术领域,具体涉及MIMO系统中的单用户多天线信号接收、发射系统及其信号处理方法。The invention belongs to the technical field of wireless communication, and in particular relates to a single-user multi-antenna signal receiving and transmitting system and a signal processing method thereof in a MIMO system.
背景技术Background technique
近年来,随着无线通信系统用户数量的猛增和对高话音质量、高数据传输速率的追求,使得人们对带宽的需求量急剧增加,而频谱资源不是无限的。因此,仅靠增加带宽来增加传输速率是不符合实际的。所以实现用更高速率来传输数据就必须要有一个具有高频谱利用率的新技术来支持。多输入多输出(Multiple-Input Multiple-output)是近年来数字通信领域重大的技术突破之一,它对提高无线通信系统的频谱利用率和信道容量有显著作用。MIMO系统实现了多个信号流的并行传输,与传统的单输入单输出(SISO)系统相比较,在系统的接收端实现了每根接收天线的接收信号是多路发送天线信号的叠加。但是在传输过程中存在信道的选择性衰落,码间干扰,路径损耗等问题。In recent years, with the rapid increase in the number of wireless communication system users and the pursuit of high voice quality and high data transmission rate, people's demand for bandwidth has increased dramatically, and spectrum resources are not unlimited. Therefore, it is not practical to increase the transmission rate by simply increasing the bandwidth. Therefore, to transmit data at a higher rate, a new technology with high spectrum utilization must be supported. Multiple-Input Multiple-Output (Multiple-Input Multiple-Output) is one of the major technological breakthroughs in the field of digital communication in recent years, and it plays a significant role in improving the spectrum utilization and channel capacity of wireless communication systems. The MIMO system realizes the parallel transmission of multiple signal streams. Compared with the traditional single-input single-output (SISO) system, the receiving end of the system realizes that the received signal of each receiving antenna is the superposition of multiple transmitting antenna signals. However, there are problems such as selective fading of the channel, inter-symbol interference, and path loss in the transmission process.
由于多天线的存在,消除空间干扰的空时合并器和信号检测的设计变得异常复杂。MIMO系统的收发系统与单天线系统相比,复杂性明显增加,例如MIMO信道估计会导致复杂性的增加,因为整个信道矩阵的每一条路径延时都需要技术跟踪和更新,而不是只跟踪和更新单个系数;现存在的大规模天线收发系统由于基站和用户端天线的数量都很多,需要很多的RF射频链路来处理信号,但是建设RF射频链路的成本很高和功耗损失很大,且对占地建设面积有要求。因此,需要研究设计出一种成本低且复杂度低的大规模天线收发系统。Due to the existence of multiple antennas, the design of space-time combiners and signal detection to eliminate spatial interference becomes extremely complicated. Compared with the single-antenna system, the transceiver system of MIMO system has significantly increased complexity. For example, MIMO channel estimation will lead to an increase in complexity, because each path delay of the entire channel matrix needs to be tracked and updated by technology, instead of only tracking and updating. Update a single coefficient; the existing large-scale antenna transceiver system requires a lot of RF radio frequency links to process signals due to the large number of base stations and user-end antennas, but the cost of building RF radio frequency links is high and the power loss is large , and there are requirements for land occupation and construction area. Therefore, it is necessary to research and design a large-scale antenna transceiver system with low cost and low complexity.
发明内容SUMMARY OF THE INVENTION
基于现有技术中存在的上述不足,本发明提供一种MIMO系统中的单用户多天线信号收发及其信号处理方法。Based on the above deficiencies in the prior art, the present invention provides a single-user multi-antenna signal transceiving and a signal processing method thereof in a MIMO system.
为了达到上述发明目的,本发明采用以下技术方案:In order to achieve the above-mentioned purpose of the invention, the present invention adopts the following technical solutions:
本发明提供一种MIMO系统中的单用户多天线信号收发系统,包括基站和一个多天线用户,所述基站具有Nr根天线以接收用户Nt根天线发送的信号,Nt、Nr均为大于1的正整数;The present invention provides a single-user multi-antenna signal transceiving system in a MIMO system, including a base station and a multi-antenna user, the base station has Nr antennas to receive signals sent by the user's Nt antennas, and both Nt and Nr are greater than 1 positive integer;
用户端包括用户发射端和用户接收端,基站端包括基站发射端和基站接收端,用户发射端和基站接收端形成上行链路,The user end includes a user transmitter and a user receiver, the base station includes a base station transmitter and a base station receiver, and the user transmitter and the base station receiver form an uplink.
在上行链路中,所述用户发射端包括:In the uplink, the user transmitter includes:
K个移相控制单元,所述移相控制单元包括Nt个相互并联的子控制单元,每一子控制单元包括调节开关和测相移相器,测相移相器与调节开关连接;K phase-shift control units, the phase-shift control units include Nt sub-control units connected in parallel with each other, each sub-control unit includes an adjustment switch and a phase-measuring phase shifter, and the phase-measuring phase shifter is connected to the adjustment switch;
K条射频链路,传输用户端的发送信号,分别与各移相控制单元中的Nt个测相移相器一一对应连接;The K radio frequency links transmit the transmitted signals of the user terminal, and are respectively connected with the Nt phase-measuring phase-shifters in each phase-shifting control unit in a one-to-one correspondence;
Nt个加法器,分别与各移相控制单元中的测相移相器一一对应连接;Nt adders are respectively connected with the phase measuring phase shifters in each phase shifting control unit in one-to-one correspondence;
所述基站接收端包括:The base station receiving end includes:
Nr个低噪声功率放大器,与Nr根天线一一对应连接;Nr LNAs are connected to Nr antennas in one-to-one correspondence;
Nr个移相控制单元,与Nr个低噪声功率放大器一一对应连接;所述移相控制单元包括K个相互并联的子控制单元,每一子控制单元包括调节开关和测相移相器,测相移相器与调节开关连接,调节开关与对应的低噪声功率放大器连接;Nr phase-shift control units are connected to Nr low-noise power amplifiers in one-to-one correspondence; the phase-shift control units include K sub-control units connected in parallel with each other, each sub-control unit includes an adjustment switch and a phase measuring phase shifter, The phase measuring phase shifter is connected with the adjustment switch, and the adjustment switch is connected with the corresponding low-noise power amplifier;
K个加法器,分别与各移相控制单元中的测相移相器一一对应连接;The K adders are respectively connected with the phase-detecting phase-shifters in each phase-shifting control unit in a one-to-one correspondence;
K条射频链路,与K个加法器一一对应连接;K radio frequency links are connected with K adders in one-to-one correspondence;
K个模数转换器,与K条射频链路一一对应连接;K analog-to-digital converters are connected with the K radio frequency links in one-to-one correspondence;
解码器,与K个模数转换器连接。A decoder, connected with K analog-to-digital converters.
作为本发明的优选方案,用户接收端和基站发射端形成下行链路,在下行链路中,所述基站发射端包括:As a preferred solution of the present invention, the user receiving end and the base station transmitting end form a downlink, and in the downlink, the base station transmitting end includes:
Nr个移相控制单元,所述移相控制单元包括一个加法器和K个相互并联的子控制单元,每一子控制单元包括调节开关和测相移相器,调节开关与测相移相器连接,测相移相器与加法器连接;Nr phase-shift control units, the phase-shift control units include an adder and K sub-control units in parallel with each other, each sub-control unit includes an adjustment switch and a phase-measuring phase shifter, and the adjustment switch and the phase-measuring phase shifter connection, the phase measuring phase shifter is connected with the adder;
K条射频链路,传输基站端的发送信号,分别与各移相控制单元一一对应连接;K radio frequency links, which transmit signals sent by the base station, and are respectively connected with each phase-shift control unit in a one-to-one correspondence;
所述用户接收端包括:The user receiving end includes:
Nt个移相控制单元,与Nt根天线一一对应连接;所述移相控制单元包括Nt个相互并联的子控制单元,每一子控制单元包括调节开关和测相移相器,测相移相器与调节开关连接;Nt phase-shift control units are connected with Nt antennas in one-to-one correspondence; the phase-shift control unit includes Nt sub-control units connected in parallel with each other, each sub-control unit includes an adjustment switch and a phase-measuring phase shifter, which measures the phase shift The phase device is connected with the adjustment switch;
K个加法器,分别与各移相控制单元中的K个测相移相器一一对应连接;The K adders are respectively connected with the K phase-measuring phase-shifters in each phase-shifting control unit in a one-to-one correspondence;
K条射频链路,与K个加法器一一对应连接。The K radio frequency chains are connected to the K adders in one-to-one correspondence.
基于上述收发系统,本发明还提供一种MIMO系统中的单用户多天线信号处理方法,包括以下步骤:Based on the above-mentioned transceiver system, the present invention also provides a single-user multi-antenna signal processing method in a MIMO system, comprising the following steps:
上行链路中,In the uplink,
S1、用户发射端发送训练序列以对信道进行估计;S1. The user transmitter sends a training sequence to estimate the channel;
S2、用户发射端发送数据信号,基站接收端接收信号,并通过低噪声功率放大器、测相移相器、加法器、射频链路、模数转换器对信号进行处理;S2. The transmitting end of the user sends a data signal, the receiving end of the base station receives the signal, and processes the signal through a low-noise power amplifier, a phase measuring phase shifter, an adder, a radio frequency link, and an analog-to-digital converter;
S3、对处理后的信号输入解码器进行解码,得到用户节点发送的数据信号;S3. Decode the processed signal input to the decoder to obtain the data signal sent by the user node;
下行链路中,In downlink,
S4、由上行链路训练结果对下行链路中基站发射端和用户接收端的移相控制单元进行参数设置;S4, perform parameter setting on the phase-shift control units of the base station transmitter and the user receiver in the downlink by the uplink training result;
S5、基站发射端发送数据信号,用户接收端接收信号,并通过低噪声功率放大器、测相移相器、加法器、射频链路、模数转换器对信号进行处理;S5. The base station transmitter sends a data signal, the user receiver receives the signal, and processes the signal through a low-noise power amplifier, a phase measuring phase shifter, an adder, a radio frequency link, and an analog-to-digital converter;
S6、对处理后的信号进行解码。S6. Decode the processed signal.
作为本发明的优选方案,步骤S1具体包括:As a preferred solution of the present invention, step S1 specifically includes:
S11、将用户发射端第k个移相控制单元的第t个测向移相器设置成qk,t,其中qk,t是矩阵Q中的第k列第t行的元素,矩阵Q是Nt维DFT矩阵的前K列;S11. Set the t-th direction-finding phase shifter of the k-th phase-shift control unit of the user transmitting end to q k,t , where q k,t is the element of the k-th column and the t-th row in the matrix Q, and the matrix Q is the first K columns of the N t -dimensional DFT matrix;
S12、用户发射端第k条射频链路发送训练符号,训练符号均为1,接通用户发射端第k个移相控制单元中的所有开关,断开其它移相控制单元的开关,经过预处理的发送信号xk可表示为:S12. The kth radio frequency link of the user transmitter sends a training symbol, and the training symbols are all 1, turn on all switches in the kth phase-shift control unit of the user transmitter, and disconnect the switches of other phase-shift control units. The processed transmit signal x k can be expressed as:
xk=qksx k =q k s
其中,k=1,2,…,K,为矩阵Q中的第k列向量,s为训练符号1;Among them, k=1,2,...,K, is the k-th column vector in the matrix Q, and s is the
接通基站接收端各移相控制单元的第k个开关,断开基站接收端各移相控制单元的其他开关,基站收到的信号yk表示为:Turn on the kth switch of each phase-shift control unit at the base station receiving end, and disconnect the other switches of each phase-shift control unit at the base station receiving end, the signal y k received by the base station is expressed as:
其中,k=1,2,...,K,ρ为信噪比,H为Nr×Nt维信道矩阵,wk为Nr×1维的复加性高斯白噪声,其各项独立且服从 Among them, k=1,2,...,K, ρ is the signal-to-noise ratio, H is the N r ×N t -dimensional channel matrix, w k is the N r ×1-dimensional complex additive white Gaussian noise, and its terms independent and submissive
记基站第r根接收天线的移相控制单元的第k路接收到的信号为hr,k,记其相位为φr,k(r=1,2,...,Nt),即发送信号经过发送预处理单元和无线通信信道传输之后的传输矩阵为Denote the signal received by the k-th channel of the phase-shift control unit of the r-th receiving antenna of the base station as h r,k , and denote its phase as φ r,k (r=1,2,...,N t ), that is, The transmission matrix after the transmission signal is transmitted through the transmission preprocessing unit and the wireless communication channel is:
将hr,k的相位φr,k取负数之后保存在对应的测相移相器中,记相位矩阵为:The phase φ r,k of h r,k is taken as a negative number and stored in the corresponding phase measuring phase shifter, and the phase matrix is recorded as:
作为本发明的优选方案,步骤S1还包括:As a preferred solution of the present invention, step S1 also includes:
S13、接通用户发射端第k条射频链路移相控制单元的所有开关,第k条射频链路发送训练符号1;S13, turn on all switches of the phase shift control unit of the kth radio frequency link of the user transmitter, and the kth radio frequency link sends
接通基站所有接收天线移相控制单元的第k个开关,断开基站所有接收天线移相控制单元的其他开关,基站接收到的信号经过移相器时乘以送入第k个加法器,再经过第k个RF射频链路及第k个模数转换器处理,得到接收信号z0k:Turn on the kth switch of the phase shift control unit of all receiving antennas of the base station, and turn off other switches of the phase shift control unit of all receiving antennas of the base station. When the signal received by the base station passes through the phase shifter, it is multiplied by It is sent to the kth adder, and then processed by the kth RF radio frequency chain and the kth analog-to-digital converter to obtain the received signal z 0k :
其中,k=1,2,…,K,wr,k表示基站的第r根天线收到的噪声;in, k=1,2,...,K, w r,k represents the noise received by the rth antenna of the base station;
S14、用户发射端的第k1、k2条射频链路同时发送训练符号,训练符号为1,其中,k1,k2=1,2…K,且k1≠k2,同时接通用户发射端的第k1、k2个移相控制单元中的调节开关,其余的射频链路不发送信号,则基站天线接收到的信号矩阵yk1,k2为:S14. The k1 and k2 radio frequency links of the user transmitter simultaneously send training symbols, and the training symbol is 1, where k1, k2=1, 2...K, and k1≠k2, and the k1 and k2 of the user transmitter are connected at the same time. The adjustment switches in the phase-shift control unit, and the rest of the radio frequency links do not send signals, the signal matrix y k1, k2 received by the base station antenna is:
其中,hk1、hk2为传输矩阵的第k1、k2列,wk1,k2为Nr×1维的复加性高斯白噪声,其各项独立且服从 Among them, h k1 and h k2 are transmission matrices The k1 and k2 columns of , w k1 and k2 are complex additive white Gaussian noise of Nr×1 dimension, and its terms are independent and obey the
S15、接通基站接收端所有移相控制单元的第k1个和第k2个测相移相器的控制开关,则基站天线接收到的信号yk1,k2经过各移相控制单元的第k1个和第k2个测相移相器,并分别乘以与后送入相应加法器,再经过相应的射频链路和模数转换器处理,得到两个信号zk1,k2和zk2,k1,表示为:S15. Turn on the control switches of the k1th and k2th phase measuring phase shifters of all phase shift control units at the base station receiving end, and the signals y k1 and k2 received by the base station antenna pass through the k1th phase shifter of each phase shift control unit. and the k2th phase-detecting phase shifter, and multiply by and After that, it is sent to the corresponding adder, and then processed by the corresponding radio frequency link and analog-to-digital converter to obtain two signals z k1,k2 and z k2,k1 , which are expressed as:
S16、令通过训练得到gk1,k2、gk2,k1,即得到的估计矩阵G为:S16, order Obtain g k1,k2 , g k2,k1 through training, namely get The estimated matrix G is:
作为本发明的优选方案,步骤S2具体包括:As a preferred solution of the present invention, step S2 specifically includes:
S21、用户发射端发送数据信号,第k根射频链路所发送的数据符号记为sk,接通所有调节开关,令第r根天线接收的信号为yr,则有:S21. The user transmitter sends a data signal, and the data symbol sent by the k-th radio frequency link is denoted as sk , turn on all adjustment switches, and let the signal received by the r-th antenna be y r , there are:
其中,nr为高斯白噪声,且服从 Among them, n r is Gaussian white noise, and obeys
S22、天线接收的信号经过各自对应的测相移相器并乘以再经过对应的加法器、射频链路、模数转换器处理,得到的信号分别记为[r1,r2,…,rK],表示为:S22. The signal received by the antenna passes through the corresponding phase measuring phase shifter and is multiplied by After processing by the corresponding adder, radio frequency link, and analog-to-digital converter, the obtained signals are respectively recorded as [r 1 , r 2 , ..., r K ], which are expressed as:
其中,为处理后的噪声,独立且服从 in, is the processed noise, independent and subject to
作为本发明的优选方案,步骤S3中解码的方法为:As a preferred solution of the present invention, the decoding method in step S3 is:
令GZF=(GHG)-1GH,则用户发射端第k条射频链路所发送的数据符号记为sk的解码为Let G ZF = (G H G) -1 G H , Then the data symbol sent by the kth RF link of the user transmitter is denoted as sk and the decoding is
其中,(YZF)k为YZF中的第k个分量,ε为用户发送信号所采用的星座。Among them, (Y ZF ) k is the k-th component in Y ZF , and ε is the constellation used by the user to send the signal.
作为本发明的优选方案,步骤S4具体包括:As a preferred solution of the present invention, step S4 specifically includes:
S41、由上行链路训练得到基站测相移相器在下行链路中的设置值EH;将基站发射端第r根天线对应的移相控制单元的第k个测相移相器的相位设置为φr,k,记相位矩阵为:S41, obtain the setting value E H of the base station phase-measuring phase shifter in the downlink by the uplink training; the phase of the kth phase-measuring phase shifter of the phase-shifting control unit corresponding to the rth antenna of the base station transmitting end Set to φ r,k , and denote the phase matrix as:
S42、将用户接收端第t个移相控制单元的第k个测向移相器设置成(表示qt,k的共轭),其中qt,k是矩阵Q中的第t列第k行的元素。S42. Set the k-th direction finding phase shifter of the t-th phase-shifting control unit at the user receiving end to ( represents the conjugate of q t, k ), where q t,k is the element in the t-th column and the k-th row of the matrix Q.
作为本发明的优选方案,步骤S5具体包括:As a preferred solution of the present invention, step S5 specifically includes:
S51、接通所有调节开关,基站发射端发送数据信号,第k根射频链路所发送的数据符号记为sk′,记发送信号经过基站各移相控制单元和无线通信信道传输之后的传输矩阵为S51. Turn on all the adjustment switches, the base station transmitter sends a data signal, the data symbol sent by the kth radio frequency link is marked as sk ', and the transmission of the transmitted signal after passing through each phase-shift control unit of the base station and the wireless communication channel is marked. The matrix is
S52、记用户接收端第r根天线接收到的信号为yr′,则有:S52. Denote the signal received by the rth antenna of the user receiving end as y r ', then there are:
其中,nr为高斯白噪声,且服从 Among them, n r is Gaussian white noise, and obeys
基站发射端到用户接收端接收天线的传输方程可表示为The transmission equation from the transmitter of the base station to the receiver antenna of the receiver of the user can be expressed as
其中,W表示Nr×1维的高斯白噪声向量,独立且服从 Among them, W represents the N r ×1-dimensional Gaussian white noise vector, which is independent and obeys the
S53、用户接收端天线接收的信号经过各自对应的测相移相器并乘以再经过对应的加法器、射频链路、模数转换器处理,得到总体传输方程:S53. The signal received by the antenna of the user's receiving end passes through the corresponding phase measuring phase shifter and is multiplied by After processing by the corresponding adder, radio frequency link, and analog-to-digital converter, the overall transmission equation is obtained:
其中,独立且服从 in, independent and submissive
作为本发明的优选方案,步骤S6具体为:As a preferred solution of the present invention, step S6 is specifically:
对处理后的信号进行ZF解码,Perform ZF decoding on the processed signal,
令G′ZF=((QHHHE)HQHHHE)-1(QHHHE)H,Y′ZF=G′ZFY,则基站发送的数据符号sk′的解码为Let G' ZF = ((Q H H H E) H Q H H H E) -1 (Q H H H E) H , Y' ZF = G' ZF Y, then the data symbol sk ' sent by the base station is decoded to
其中,(Y′ZF)k为Y′ZF中的第k个分量,ε为用户发送信号所采用的星座。Among them, (Y' ZF ) k is the k-th component in Y' ZF , and ε is the constellation used by the user to send the signal.
相比于现有技术,本发明具备以下有益效果:Compared with the prior art, the present invention has the following beneficial effects:
现有技术中用户发送端需要Nt条射频链路,基站接收端需要Nr条射频链路,而采用本发明所述收发系统及其信息处理方法,在上行链路和下行链路中,用户端和基站端都只需要K条射频链路即可处理接收信号,且性能相较于传统收发系统仅略有损失;降低了建设成本和功耗损失,并且节约了建设收发系统需要的占有面积。In the prior art, the transmitting end of the user needs N t radio frequency links, and the receiving end of the base station needs N r radio frequency links, but using the transceiver system and the information processing method of the present invention, in the uplink and downlink, Both the user end and the base station only need K RF links to process the received signal, and the performance is only slightly lost compared with the traditional transceiver system; the construction cost and power loss are reduced, and the occupation required for the construction of the transceiver system is saved. area.
同时,现有的研究大多在接收双方完全知道信道信息这一完美假设之下,但在现实中这是很难实现的。本发明提出的收发系统可以通过发送训练符号,利用测相移相器记录信道估计和解码所需的信道信息,是建立在现实基础上的。At the same time, most of the existing researches are based on the perfect assumption that both receivers know the channel information completely, but this is difficult to achieve in reality. The transceiver system proposed by the present invention can record the channel information required for channel estimation and decoding by using a phase measuring phase shifter by sending training symbols, which is established on a realistic basis.
附图说明Description of drawings
图1是本发明所述单用户多天线信号收发系统中的上行链路连接结构示意图。FIG. 1 is a schematic diagram of the uplink connection structure in the single-user multi-antenna signal transceiving system according to the present invention.
图2是本发明实施例中K=2时,上行链路中收发系统信道容量的仿真图。FIG. 2 is a simulation diagram of channel capacity of a transceiver system in an uplink when K=2 in an embodiment of the present invention.
图3是本发明实施例中K=8时,上行链路中收发系统信道容量的仿真图。FIG. 3 is a simulation diagram of channel capacity of a transceiver system in an uplink when K=8 in an embodiment of the present invention.
图4是本发明所述单用户多天线信号收发系统中的下行链路连接结构示意图。FIG. 4 is a schematic diagram of a downlink connection structure in the single-user multi-antenna signal transceiving system according to the present invention.
图5是本发明实施例中K=8时,下行链路中收发系统信道容量的仿真图。FIG. 5 is a simulation diagram of the channel capacity of the transmission and reception system in the downlink when K=8 in the embodiment of the present invention.
具体实施方式Detailed ways
为了更清楚地说明本发明实施例,下面将对照附图说明本发明的具体实施方式。显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图,并获得其他的实施方式。In order to describe the embodiments of the present invention more clearly, the following will describe specific embodiments of the present invention with reference to the accompanying drawings. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained from these drawings without creative efforts, and obtain other implementations.
将本发明所述单用户多天线信号收发系统应用于具体案例中,Applying the single-user multi-antenna signal transceiver system of the present invention to a specific case,
如图1所示,单用户多天线信号收发系统中,上行链路中用户端和基站端的连接结构,假设用户端天线数为Nt=16,基站端的天线个数Nr=64,射频链路数K=2条,As shown in Figure 1, in the single-user multi-antenna signal transceiver system, the connection structure of the user end and the base station end in the uplink, it is assumed that the number of antennas at the user end is N t =16, the number of antennas at the base station end is N r =64, the radio frequency chain The number of roads K = 2,
上行链路中的信息处理方法包括如下步骤:The information processing method in the uplink includes the following steps:
S1:用户发送训练序列S1: User sends training sequence
接收端估计信号,具体操作分以下步骤:The receiving end estimates the signal, and the specific operation is divided into the following steps:
S1、多天线用户发送训练序列以对信道进行估计;S1. The multi-antenna user sends a training sequence to estimate the channel;
其中步骤S1具体包括:Wherein step S1 specifically includes:
S11:将用户端第k个移相控制单元的第t个测向移相器设置成qk,t,其中qk,t是DFT矩阵Q中的第k列第t行的元素。S11: Set the t-th direction-finding phase shifter of the k-th phase-shift control unit of the user end to q k,t , where q k,t is an element of the k-th column and the t-th row in the DFT matrix Q.
S12:用户端第1条射频链路发送训练符号,训练符号均规范为1,接通发送端第1个移相控制单元中的所有开关C11,C12,断开其它移相控制单元的开关,经过预处理的发送信号x1可表示为:S12: The first radio frequency link of the user end sends training symbols, and the training symbols are all standardized as 1, turn on all switches C 11 , C 12 in the first phase-shifting control unit of the transmitting end, and turn off the switches of other phase-shifting control units. switch, the preprocessed transmit signal x 1 can be expressed as:
x1=q1sx 1 =q 1 s
其中,为2维DFT矩阵Q中的第1列向量,s为训练符号1。接通基站各接收天线移相控制单元的第1个开关,断开其他开关,则基站收到的信号y1表示为:in, is the first column vector in the 2D DFT matrix Q, and s is the
其中,k=1,2,ρ为信噪比,H为Nr×Nt维信道矩阵,wk为Nr×1维的复加性高斯白噪声,其各项独立且服从 Among them, k=1,2, ρ is the signal-to-noise ratio, H is the N r ×N t -dimensional channel matrix, w k is the N r ×1-dimensional complex additive white Gaussian noise, and its terms are independent and obey the
记基站第1根接收天线的移相控制单元的第k路接收到的信号为h1,k,记其相位为φ1,k。Denote the signal received by the kth channel of the phase shift control unit of the first receiving antenna of the base station as h 1,k , and denote its phase as φ 1,k .
用户端第2条射频链路发送训练符号,训练符号均规范为1,接通发送端第2个移相控制单元中的所有开关C21,C22,断开其它移相控制单元的开关,经过预处理的发送信号x2可表示为:The second radio frequency link of the user end sends training symbols, and the training symbols are all standardized as 1, turn on all switches C 21 , C 22 in the second phase-shift control unit of the transmitting end, and turn off the switches of other phase-shift control units, The preprocessed transmit signal x 2 can be expressed as:
x2=q2sx 2 =q 2 s
其中,为2维DFT矩阵Q中的第2列向量,s为训练符号1。接通基站各接收天线移相控制单元的第2个开关,断开其他开关,则基站收到的信号y2表示为:in, is the second column vector in the 2D DFT matrix Q, and s is the
其中,k=1,2,ρ为信噪比,H为Nr×Nt维信道矩阵,wrk为Nr×1维的复加性高斯白噪声,其各项独立且服从 Among them, k=1,2, ρ is the signal-to-noise ratio, H is the N r ×N t -dimensional channel matrix, w rk is the N r ×1-dimensional complex additive white Gaussian noise, and its terms are independent and obey the
记基站第2根接收天线的移相控制单元的第k路接收到的信号为h2,k,记其相位为φ2,k,即发送信号经过发送预处理单元和无线通信信道传输之后的传输矩阵为Denote the signal received by the kth channel of the phase-shift control unit of the second receiving antenna of the base station as h 2,k , and denote its phase as φ 2,k , that is, the transmitted signal is transmitted through the transmission preprocessing unit and the wireless communication channel. The transfer matrix is
将hr,k的相位φr,k(r=1,2,...,Nt,k=1,2)取负数之后保存在对应的测相移相器中,得到相位矩阵:The phase φ r,k (r=1,2,...,N t ,k=1,2) of h r,k is taken as a negative number and stored in the corresponding phase shifter to obtain the phase matrix:
S13:接通用户端第1条射频链路移相控制单元的所有开关,第1条射频链路发送训练符号1。接通基站所有接收天线移相控制单元的第1个开关,断开另外开关,则基站接收到的信号经过移相器时乘以送入第1个加法器,再经过第1个RF射频链路及第1个模数转换器处理,得到接收信号z01:S13: Turn on all switches of the phase shift control unit of the first radio frequency link of the user terminal, and the first radio frequency link sends
其中,||h1||1=|h1,1|+|h2,1|,wr,1表示基站的第r根天线收到的噪声。Wherein, ||h 1 || 1 =|h 1,1 |+|h 2,1 |, w r,1 represents the noise received by the rth antenna of the base station.
S14:接通用户端第2条射频链路移相控制单元的所有开关,第2条射频链路发送训练符号1。接通基站所有接收天线移相控制单元的第2个开关,断开另外开关,则基站接收到的信号经过移相器时乘以送入第2个加法器,再经过第2个RF射频链路及第2个模数转换器处理,得到接收信号z02:S14: Turn on all switches of the phase-shift control unit of the second radio frequency link of the user terminal, and the second radio frequency link sends
其中,||h2||1=|h1,2|+|h2,2|,wr,2表示基站的第r根天线收到的噪声。Wherein, ||h 2 || 1 =|h 1,2 |+|h 2,2 |, w r,2 represents the noise received by the rth antenna of the base station.
S15:用户端的2条射频链路同时发送训练符号,训练符号规范为1,并同时接通第2个移相控制单元中的调节开关,则基站天线接收到信号矩阵y1,2为:S15: The two radio frequency links of the user end send training symbols at the same time, the training symbol specification is 1, and the adjustment switch in the second phase-shift control unit is turned on at the same time, then the signal matrix y 1, 2 received by the base station antenna is:
其中,h1、h2为传输矩阵的第1、2列,w1,2为Nr×1维的复加性高斯白噪声,其各项独立且服从 Among them, h 1 , h 2 are transmission matrices The 1st and 2nd columns of , w 1,2 is the complex additive white Gaussian noise of Nr×1 dimension, and its terms are independent and obey
基站天线接收到的信号y1,2经过各移相控制单元的各个测相移相器,并分别乘以与后送入相应加法器,再经过相应的射频链路和模数转换器处理,得到两个信号z1,2和z2,1,表示为:The signals y 1, 2 received by the antenna of the base station pass through each phase-measurement phase shifter of each phase-shift control unit, and are multiplied by and Then, it is sent to the corresponding adder, and then processed by the corresponding radio frequency link and analog-to-digital converter to obtain two signals z 1,2 and z 2,1 , which are expressed as:
为方便起见,记 For convenience, remember
S16:用MMSE方法估计信道信息S16: Estimate channel information using MMSE method
运用MMSE的信道估计方法,经过上述步骤,记基站接收到的信号为Z=[z01,z02,z11,z12],这样:Using the channel estimation method of MMSE, after the above steps, denote the signal received by the base station as Z=[z 01 , z 02 , z 11 , z 12 ], so that:
||h1||1可以估计为: ||h 1 || 1 can be estimated as:
||h2||1可以估计为: ||h 2 || 1 can be estimated as:
g1,2可以估计为: g 1,2 can be estimated as:
g2,1可以估计为: g 2,1 can be estimated as:
得到的估计矩阵G为:get The estimated matrix G is:
S2:数据的传输与解码S2: Data transmission and decoding
S21:多天线用户端发送数据信号,第1根射频链路所发送的数据符号记为s1,第2根射频链路所发送的数据符号记为s2,接通所有调节开关,令第r根天线接收的信号为yr,则有:S21: The multi-antenna user terminal sends a data signal, the data symbol sent by the first radio frequency link is denoted as s 1 , and the data symbol sent by the second radio frequency link is denoted as s 2 , all adjustment switches are turned on, and the first The signal received by r antennas is y r , then there are:
可以表示为:It can be expressed as:
即其中ρ为信噪比,W其中为Nr×1维的高斯白噪声,且服从 which is where ρ is the signal-to-noise ratio, W where is N r ×1-dimensional Gaussian white noise, and obeys
S22,信号经过各自对应的测相移相器并乘以再经过对应的加法器、射频链路、模数转换器处理,得到的信号分别记为[r1,r2,…,rK],表示为:S22, the signal passes through the corresponding phase measuring phase shifter and is multiplied by After processing by the corresponding adder, radio frequency link, and analog-to-digital converter, the obtained signals are respectively recorded as [r 1 , r 2 , ..., r K ], which are expressed as:
其中,为处理后的噪声,独立且服从 in, is the processed noise, independent and subject to
S3:利用ZF解码S3: Decoding with ZF
具体解码方法如下,令GZF=(GHG)-1GH, The specific decoding method is as follows, let G ZF =(GH G) -1 G H ,
则两条链路发送的符号可解为:Then the symbols sent by the two links can be solved as:
其中,(YZF)k为YZF中的第k个分量,ε为用户发送信号所采用的星座。Among them, (Y ZF ) k is the k-th component in Y ZF , and ε is the constellation used by the user to send the signal.
如图2和图3所示,在仿真图中比较的对象是假设基站和用户双方都完全知道信道信息这一理想情况,且预编码的秩为K,但是在现实中这种理想情况是非常难实现的。从仿真图3中可看出,本发明所述的收发系统结构仅用了K根射频链路的信道容量相比信道信息完全已知的理想情况情况损失了约3dB。As shown in Figure 2 and Figure 3, the object of comparison in the simulation diagram is the ideal situation that both the base station and the user are fully aware of the channel information, and the rank of precoding is K, but in reality this ideal situation is very difficult to achieve. It can be seen from the simulation in FIG. 3 that the transceiver system structure according to the present invention only uses the channel capacity of K radio frequency links, which is about 3dB lost compared to the ideal situation in which the channel information is completely known.
如图4所示,单用户多天线信号收发系统中,下行链路中用户端和基站端的连接结构,假设用户端天线数为Nt=16,基站端的天线个数Nr=64,射频链路数K=8条。下行链路中相应的信号处理方法,包括以下步骤:As shown in Figure 4, in the single-user multi-antenna signal transceiving system, the connection structure between the user terminal and the base station in the downlink, it is assumed that the number of antennas at the user terminal is N t =16, the number of antennas at the base station is N r =64, and the radio frequency chain The number of paths K=8. The corresponding signal processing method in the downlink includes the following steps:
S4、由上行链路的训练结果对下行链路中基站发射端和用户接收端的移相控制单元进行参数设置。S4. Perform parameter setting on the phase shift control units of the base station transmitter and the user receiver in the downlink based on the uplink training result.
S5、基站发送数据信号,多天线用户的天线接收信号,并通过低噪声功率放大器、测相移相器、加法器、射频链路、模数转换器对信号进行处理;S5. The base station sends the data signal, the antenna of the multi-antenna user receives the signal, and processes the signal through a low-noise power amplifier, a phase measuring phase shifter, an adder, a radio frequency link, and an analog-to-digital converter;
S6、对处理后的信号进行解码。S6. Decode the processed signal.
具体的,步骤S4包括以下步骤:Specifically, step S4 includes the following steps:
S41、由上行训练得到基站测相移相器在下行系统中的设置值EH。将基站端第r根天线对应的移相控制单元的第k个测相移相器的相位设置为φr,k,记相位矩阵为:S41. Obtain the setting value E H of the base station phase measuring phase shifter in the downlink system from the uplink training. Set the phase of the k-th phase-measurement phase shifter of the phase-shift control unit corresponding to the r-th antenna at the base station as φ r,k , and denote the phase matrix as:
S42、将用户端第t个移相控制单元的第k个测向移相器设置成(表示qt,k的共轭),其中qt,k是矩阵Q中的第t列第k行的元素。S42. Set the k-th direction finding phase shifter of the t-th phase-shifting control unit of the user terminal to ( represents the conjugate of q t, k ), where q t,k is the element in the t-th column and the k-th row of the matrix Q.
具体的,步骤S5包括以下步骤:Specifically, step S5 includes the following steps:
S51、合上所有调节开关,基站发送数据信号,第k根射频链路所发送的数据符号记为sk′。记发送信号经过基站各移相控制单元和无线通信信道传输之后的传输矩阵为S51, all adjustment switches are closed, the base station sends a data signal, and the data symbol sent by the kth radio frequency link is denoted as sk '. The transmission matrix after the transmitted signal is transmitted through each phase-shift control unit of the base station and the wireless communication channel is recorded as
S52、记用户端第r根天线接收到的信号为yr′,则有:S52. Denote the signal received by the rth antenna of the user terminal as y r ', then there are:
其中,nr为高斯白噪声,且服从 Among them, n r is Gaussian white noise, and obeys
基站端到用户端接收天线的传输方程可表示为The transmission equation from the base station to the receiving antenna of the user can be expressed as
其中,W表示Nr×1维的高斯白噪声向量,独立且服从 Among them, W represents the N r ×1-dimensional Gaussian white noise vector, independent and obeying the
S53、用户端天线接收的信号经过各自对应的测相移相器并乘以再经过对应的加法器、射频链路、模数转换器处理,得到最后的总体传输方程:S53. The signal received by the antenna at the user end passes through the corresponding phase measuring phase shifters and is multiplied by After processing by the corresponding adder, radio frequency link, and analog-to-digital converter, the final overall transmission equation is obtained:
其中,独立且服从 in, independent and submissive
S6、对处理后的信号进行ZF解码S6. Perform ZF decoding on the processed signal
令G′ZF=((QHHHE)HQHHHE)-1(QHHHE)H,Y′ZF=G′ZFY,则基站发送的数据符号sk′的解码为Let G' ZF =((Q H H H E) H Q H H H E) -1 (Q H H H E) H , Y' ZF =G' ZF Y, then the data symbol sk ' sent by the base station has decoded to
其中,(Y′ZF)k为Y′ZF中的第k个分量,ε为用户发送信号所采用的星座。Among them, (Y' ZF ) k is the k-th component in Y' ZF , and ε is the constellation used by the user to send the signal.
如图5所示,下行链路中,本发明所述收发系统仅用了K根射频链路相比信道信息完全已知的理想情况损失了约3dB。As shown in FIG. 5 , in the downlink, the transceiver system according to the present invention only uses K radio frequency links, which loses about 3dB compared to the ideal situation where the channel information is completely known.
与现有技术中基站需要Nr个射频链路处理,用户端需要Nt个射频链相比,本发明所述收发系统及其信号处理方法,只需要K条RF链路即可处理接收信号,并且不需要用到接收双方完全知道信道信息这一完美假设,降低了建设成本和功耗损失,并且节约了建设收发系统需要的占有面积。Compared with the prior art that the base station needs Nr radio frequency chains to process and the user terminal needs Nt radio frequency chains, the transceiver system and the signal processing method thereof of the present invention only need K RF chains to process received signals, and There is no need to use the perfect assumption that the receiver and both parties fully know the channel information, which reduces the construction cost and power loss, and saves the occupied area required for the construction of the transceiver system.
以上所述仅是对本发明的优选实施例及原理进行了详细说明,对本领域的普通技术人员而言,依据本发明提供的思想,在具体实施方式上会有改变之处,而这些改变也应视为本发明的保护范围。The above is only a detailed description of the preferred embodiments and principles of the present invention. For those of ordinary skill in the art, according to the ideas provided by the present invention, there will be changes in the specific implementation, and these changes should also be It is regarded as the protection scope of the present invention.
Claims (9)
- A single-user multi-antenna signal transceiving system in a MIMO system, comprising a base station and a multi-antenna user, characterized in that:the base station has NrThe root antenna being arranged to receive signals transmitted by Nt antennas of a user, Nt、NrAre all positive integers greater than 1;the user terminal comprises a user transmitting terminal and a user receiving terminal, the base station terminal comprises a base station transmitting terminal and a base station receiving terminal,the user transmitting end and the base station receiving end form an uplink, in which,the user transmitting terminal includes:k phase shift control units including NtEach sub-control unit comprises an adjusting switch and a phase measuring phase shifter, and the phase measuring phase shifter is connected with the adjusting switch;k radio frequency links for transmitting the sending signals of the user end and the N in each phase shift control unit respectivelytThe phase measuring phase shifters are connected in a one-to-one correspondence manner;Ntthe adders are respectively and correspondingly connected with 1 phase measuring phase shifter in the K phase shift control units;the base station receiving end comprises:Nra low noise power amplifier, and NrThe root antennas are connected in a one-to-one correspondence manner;Nrphase shiftControl unit, with NrThe low-noise power amplifiers are connected in a one-to-one correspondence manner; the phase-shifting control unit comprises K sub-control units which are connected in parallel, each sub-control unit comprises an adjusting switch and a phase-measuring phase shifter, the phase-measuring phase shifters are connected with the adjusting switches, and the adjusting switches are connected with corresponding low-noise power amplifiers;k adders respectively connected to Nr1 phase measuring phase shifters in the phase shift control units are correspondingly connected;k radio frequency links which are connected with the K adders in a one-to-one correspondence manner;k analog-to-digital converters are connected with the K radio frequency links in a one-to-one correspondence manner;the decoder is connected with the K analog-to-digital converters;the base station transmitting end and the user receiving end form a downlink, in which,the base station transmitting end comprises:Nrthe phase-shifting control unit comprises K sub-control units which are connected in parallel, each sub-control unit comprises an adjusting switch and a phase-measuring phase shifter, and the adjusting switches are connected with the phase-measuring phase shifters;Nrthe adders are respectively connected with the phase measuring phase shifters in the phase shift control units in a one-to-one correspondence manner;k radio frequency links are used for transmitting the sending signals of the base station end and are connected with each phase-shifting control unit;the user receiving end includes:Nta phase shift control unit, and NtThe root antennas are connected in a one-to-one correspondence manner; the phase-shifting control unit comprises K sub-control units which are connected in parallel, each sub-control unit comprises an adjusting switch and a phase-measuring phase shifter, and the phase-measuring phase shifters are connected with the adjusting switches;k adders respectively connected to Nt1 phase measuring phase shifters in the phase shift control units are correspondingly connected;and the K radio frequency links are correspondingly connected with the K summers one by one.
- 2. A method for processing a single-user multi-antenna signal in a MIMO system, which employs the single-user multi-antenna signal transceiving system in the MIMO system of claim 1, wherein: the method comprises the following steps:in the uplink, the base station sets a transmission power,s1, the user transmitting terminal sends a training sequence to estimate the channel;s2, a user transmitting end sends a data signal, a base station receiving end receives the signal, and the signal is processed through a low noise power amplifier, a phase measurement phase shifter, an adder, a radio frequency link and an analog-to-digital converter;s3, inputting the processed signals into a decoder for decoding to obtain data signals sent by the user nodes;in the downlink, the number of channels in the downlink,s4, setting parameters of phase shift control units of a base station transmitting end and a user receiving end in a downlink according to the uplink training result;s5, a base station transmitting end sends data signals, a user receiving end receives the signals, and the signals are processed through a low noise power amplifier, a phase measurement phase shifter, an adder, a radio frequency link and an analog-to-digital converter;and S6, decoding the processed signal.
- 3. The method of claim 2, wherein: step S1 specifically includes:s11, setting the t direction-finding phase shifter of the k phase shift control unit at the user transmitting end as qk,tWherein q isk,tIs an element of the kth column, the tth row in the matrix Q, which is NtThe first K columns of the dimension DFT matrix;s12, the kth radio frequency link of the user transmitting end sends training symbols, the training symbols are all 1, all switches in the kth phase-shift control unit of the user transmitting end are switched on, switches of other phase-shift control units are switched off, and the sending signal x after pretreatment is sentkExpressed as:xk=qksswitching on the kth switch of each phase shift control unit at the receiving end of the base station, switching off other switches of each phase shift control unit at the receiving end of the base station, and receiving a signal y by the base stationkExpressed as:where K is 1,2,., K, ρ is the signal-to-noise ratio, and H is Nr×NtDimensional channel matrix, wkIs NrComplex additive white Gaussian noise of x 1 dimension, each independent and obedientThe signal received by the kth path of the phase shift control unit of the r receiving antenna of the base station is recorded as hr,kRecording the phase as phir,k,r=1,2,...,NtI.e. the transmission matrix of the transmitted signal after transmission through the transmit preprocessing unit and the wireless communication channel isH is to ber,kPhase phi ofr,kTaking a negative number, storing the negative number in a corresponding phase measurement phase shifter, and recording a phase matrix as follows:
- 4. the method of claim 3, wherein: step S1 further includes:s13, switching on all switches of a phase shift control unit of a kth radio frequency link at a user transmitting end, wherein the kth radio frequency link sends a training symbol 1;switching on the kth switch of all receiving antenna phase shift control units of the base station, switching off other switches of all receiving antenna phase shift control units of the base station, multiplying the signal received by the base station when passing through the phase shifterSending the signal to a k adder, and processing the signal by a k RF link and a k analog-to-digital converter to obtain a received signal z0k:Where p represents the signal-to-noise ratio,wr,krepresenting the noise received by the r-th antenna of the base station;s14, the K1 and K2 radio frequency links of the user transmitting end simultaneously transmit training symbols, the training symbols are 1, wherein K1, K2 is 1,2 … K, and K1 is not equal to K2, adjusting switches in the K1 and K2 phase shift control units of the user transmitting end are switched on simultaneously, the rest radio frequency links do not transmit signals, and then a signal matrix y received by the base station antenna is transmittedk1,k2Comprises the following steps:wherein h isk1、hk2For transmission matrixK1, k2 column, wk1,k2Is Nr × 1-dimensional complex additive white Gaussian noise, each independent and obedientS15, switching on the control switches of the phase-measuring phase shifters of the k1 th and the k2 th of all the phase-shifting control units at the receiving end of the base station, so that the signal y received by the antenna of the base stationk1,k2Passing through the phase-shift control units to obtain the k1 th and k2 th phase-measuring phase shifters, and multiplying the phase-measuring phase shifters by the phase-measuringAndthen sent to corresponding adder, and processed by corresponding radio frequency link and analog-to-digital converter to obtain two signals zk1,k2And zk2,k1Expressed as:
- 5. the method of claim 2, wherein: step S2 specifically includes:s21, user transmitting end sends data signal, data symbol sent by k-th radio frequency link is marked as SkIs connected throughAll the regulating switches make the signal received by the r-th antenna be yrThen, there are:s22, the signals received by the antennas pass through the corresponding phase measuring phase shifters and are multiplied by the phase measuring phase shiftersThe signals are processed by corresponding summers, radio frequency links and analog-to-digital converters to obtain signals which are respectively marked as r1,r2,…,rK]Expressed as:
- 6. The method of claim 2, wherein: the decoding method in step S3 is:let GZF=(GHG)-1GH,The data symbol sent by the kth radio frequency link of the user transmitting terminal is marked as skIs decoded intoWherein (Y)ZF)kIs YZFThe kth component in (e) is a constellation adopted by a user to send a signal; ρ represents the signal-to-noise ratio.
- 7. The method of claim 2, wherein: step S4 specifically includes:s41, obtaining the setting value E of the base station phase measuring phase shifter in the downlink by the uplink trainingH(ii) a Setting the phase of the kth phase measurement phase shifter of the phase shift control unit corresponding to the r antenna at the transmitting end of the base station as phir,kThe phase matrix is written as:
- 8. The method of claim 7, wherein: step S5 specifically includes:s51, switching on all the adjusting switches, the transmitting end of the base station sends data signals, the data symbol sent by the kth radio frequency link is marked as SkThe transmission matrix of the transmitted signal after passing through each phase shift control unit of the base station and the wireless communication channel isS52, recording the signal received by the r-th antenna at the receiving end of the user as yr', then there are:The transmission equation from the transmitting end of the base station to the receiving antenna of the receiving end of the user can be expressed asWherein W represents NrX 1-dimensional Gaussian white noise vector, independent and obedientρ represents the signal-to-noise ratio;s53, the signals received by the antenna at the receiving end of the user pass through the corresponding phase-measuring phase shifter and are multiplied byAnd processing the data by a corresponding adder, a radio frequency link and an analog-to-digital converter to obtain an overall transmission equation:
- 9. The method of claim 8, wherein: step S6 specifically includes:the processed signal is ZF decoded,line G'ZF=((QHHHE)HQHHHE)-1(QHHHE)H,Y′ZF=G′ZFY, then the data symbol s sent by the base stationkDecoding ofWherein, (Y'ZF)kIs Y'ZFThe kth component in (e) is a constellation adopted by a user to send a signal; ρ represents the signal-to-noise ratio.
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