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CN109120320A - Precoding technique based on time reversal in extensive MIMO network - Google Patents

Precoding technique based on time reversal in extensive MIMO network Download PDF

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CN109120320A
CN109120320A CN201811173111.7A CN201811173111A CN109120320A CN 109120320 A CN109120320 A CN 109120320A CN 201811173111 A CN201811173111 A CN 201811173111A CN 109120320 A CN109120320 A CN 109120320A
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precoding
interference
user
signal
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孙晓健
李方伟
张海波
聂益芳
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Chongqing University of Post and Telecommunications
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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
    • H04B7/0413MIMO systems
    • H04B7/0456Selection of precoding matrices or codebooks, e.g. using matrices antenna weighting
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04LTRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
    • H04L25/00Baseband systems
    • H04L25/02Details ; arrangements for supplying electrical power along data transmission lines
    • H04L25/03Shaping networks in transmitter or receiver, e.g. adaptive shaping networks
    • H04L25/03891Spatial equalizers
    • H04L25/03898Spatial equalizers codebook-based design
    • H04L25/0391Spatial equalizers codebook-based design construction details of matrices
    • 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

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  • Engineering & Computer Science (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Signal Processing (AREA)
  • Physics & Mathematics (AREA)
  • Mathematical Physics (AREA)
  • Power Engineering (AREA)
  • Radio Transmission System (AREA)

Abstract

本发明涉及大规模MIMO网络抗干扰技术手段,具体涉及时间反演技术在大规模MIMO网络中与预编码技术融合改进,达到干扰抑制目的,该技术通过在时间反演技术基础上进行信道优化,利用时间反演技术的时空聚焦性实现能量聚焦;在迫零预编码技术基础上实现改进,通过多径环境下的迫零预编码以降低大规模MIMO系统中用户间干扰与共道干扰,为实现干扰抑制目的,接收端天线通过信道探测,在基站天线端可获得多径信道的信道状态信息,在基站天线进行上采样以降低符号传输速率,通过迫零预编码降低多径信道条件下的用户间干扰与共道干扰,因此基于时间反演的预编码抗干扰技术可以使平均误比特率减小,并显著提高信干噪比、大规模MIMO系统的可达速率。

The invention relates to anti-interference technical means of massive MIMO network, in particular to the fusion and improvement of time inversion technology and precoding technology in massive MIMO network to achieve the purpose of interference suppression. The technology optimizes channels on the basis of time inversion technology, Using the space-time focusing of time inversion technology to achieve energy focusing; improving on the basis of zero-forcing precoding technology, through zero-forcing precoding in multipath environment to reduce inter-user interference and co-channel interference in massive MIMO systems, in order to achieve For the purpose of interference suppression, the receiver antenna can obtain the channel state information of the multipath channel at the base station antenna through channel detection, perform up-sampling at the base station antenna to reduce the symbol transmission rate, and reduce the number of users under multipath channel conditions through zero-forcing precoding. Therefore, the time-reversal-based precoding anti-jamming technology can reduce the average bit error rate, significantly improve the signal-to-interference-to-noise ratio, and the achievable rate of massive MIMO systems.

Description

大规模MIMO网络中基于时间反演的预编码技术Precoding Technology Based on Time Reversal in Massive MIMO Networks

技术领域technical field

本发明涉及MIMO网络中干扰抑制领域,具体涉及大规模MIMO网络中基于时间反演的预编码技术。The invention relates to the field of interference suppression in a MIMO network, in particular to a precoding technology based on time inversion in a massive MIMO network.

背景技术Background technique

随着无线技术的不断进步,人们对于信息传输速率和数据准确性的要求也不断提高,同时,移动终端数量的快速增长导致了原本就有限的频率资源变得更加紧缺,因此传统的多用户多输入多输出系统已经不能满足上述的需求,为了满足此要求,大规模MIMO技术被提出,大规模MIMO技术是指基站侧装有数百根天线,在同一时频点服务众多用户终端的通信方式,相对于传统的MIMO技术,具有较高的频谱利用率和能量效率,在未来的小区网络中,大规模MIMO能获得很高的能量效率,而且随着基站天线数量的不断增加,一些无关的噪声和快衰落逐渐消失,对用户造成影响的只有慢衰落和用户间的干扰。正是因为大规模MIMO系统的天线数量庞大,且服务用户数量多,所以存在着用户间干扰和导频污染问题,研究表明,随着天线数量的增加,导频污染引起的干扰成为制约多小区多用户Massive MIMO系统的重要原因。With the continuous advancement of wireless technology, people's requirements for information transmission rate and data accuracy are also increasing. At the same time, the rapid increase in the number of mobile terminals has led to a shortage of originally limited frequency resources. The input multiple output system can no longer meet the above requirements. In order to meet this requirement, massive MIMO technology is proposed. Massive MIMO technology refers to the communication method that hundreds of antennas are installed on the base station side to serve many user terminals at the same time and frequency. , Compared with the traditional MIMO technology, it has higher spectrum utilization and energy efficiency. In the future cell network, massive MIMO can achieve high energy efficiency, and with the continuous increase of the number of base station antennas, some irrelevant Noise and fast fading gradually disappear, and only slow fading and inter-user interference affect users. It is precisely because of the large number of antennas in the massive MIMO system and the large number of serving users that there are inter-user interference and pilot pollution problems. Research shows that with the increase of the number of antennas, the interference caused by pilot pollution becomes a constraint for multi-cell. Important reasons for multi-user Massive MIMO systems.

目前研究中预编码技术分为线性和非线性两种。在基站侧对信号进行线性处理的方法称为线性预编码,主要包括:迫零线性预编码、最小均方误差线性预编码、匹配滤波预编码等,非线性预编码是在发送信号上添加设计好的预编码矢量来达到抑制用户间干扰的预编码方法,其主要包括:脏纸编码、THP等,一般情况下,非线性预编码的性能优于线性预编码,目前预编码技术虽然可以一定程度上减轻用户间干扰与共道干扰,但因其预编码矩阵导致复杂度较高,未来及现今的研究也在减少复杂度方面。The precoding technology in the current research is divided into two types: linear and non-linear. The method of linearly processing signals on the base station side is called linear precoding, which mainly includes: zero-forcing linear precoding, minimum mean square error linear precoding, matched filter precoding, etc. Non-linear precoding is to add design to the transmitted signal A good precoding vector is used to achieve the precoding method to suppress inter-user interference, which mainly includes: dirty paper coding, THP, etc. In general, the performance of nonlinear precoding is better than linear precoding. Although the current precoding technology can be certain To a certain extent, the inter-user interference and co-channel interference are reduced, but the precoding matrix leads to high complexity. Future and current research is also in reducing the complexity.

时间反演技术是在时域上对所接收到的信号进行一种逆序操作,它将信号按照到达接收端的顺序进行前后倒转,这种技术能够实现信号在时间与空间上的聚焦,所谓的时间反演的时间聚焦是指在复杂媒质中经过多径传输的各时间反演信号的最大能量会在同一时间到达目标接收点,以实现时间上的能量聚焦,而空间聚焦是指,在没有任何关于目标接收点先验知识的情况下,时间反演信号会自适应地聚焦到目标接收点所在位置,以实现空间上的能量聚集,时间反演技术的这种时空聚焦特性能有效补偿非均匀复杂环境或媒质引起的信号多径延迟衰减,因此它在通信和探测等应用领域存在巨大的潜力,由于空时聚焦性,时间反演技术可以方便的应用到超宽带无线通信系统中,在多天线的配合下,不仅可以获得非常高的阵列增益,提高信噪比,抑制用户间干扰,简化接收机的设计,还可以实现有效的保密通信。Time inversion technology is to perform a reverse order operation on the received signal in the time domain. It reverses the signal in the order in which it arrives at the receiving end. This technology can realize the focusing of the signal in time and space, the so-called time. Time focusing of inversion means that the maximum energy of each time-reversed signal transmitted through multipath in a complex medium will reach the target receiving point at the same time to achieve energy focusing in time, while spatial focusing means that there is no In the case of prior knowledge about the target receiving point, the time-reversed signal will be adaptively focused to the location of the target receiving point to achieve spatial energy accumulation. This spatiotemporal focusing characteristic of time inversion technology can effectively compensate for non-uniformity Signal multipath delay attenuation caused by complex environment or medium, so it has great potential in applications such as communication and detection. Due to space-time focusing, time inversion technology can be easily applied to ultra-wideband wireless communication systems. With the cooperation of the antenna, not only a very high array gain can be obtained, the signal-to-noise ratio can be improved, the interference between users can be suppressed, the design of the receiver can be simplified, and effective confidential communication can be realized.

在丰富的多径散射环境中时间反演视多径信道为分布式天线,这种高分辨率的空时聚焦特性通过卷积时间反演信道脉冲响应体现,因此时间反演能有效地消除码间干扰、用户间干扰等,然而时间反演技术并不能从根本上消除共道干扰及用户间干扰,由已有研究可知,多用户时间反演系统中IUI是主要的系统性能限制因素,基于此种情况,提出大规模MIMO的时间反演预编码技术来消除MIMO中的用户间干扰与共道干扰,大规模MIMO中的预编码技术是指在下行链路上,基站对将要发送给用户的信号进行处理的过程,通过线性预编码或非线性预编码达到抑制用户间干扰的目的。In the rich multipath scattering environment, the time inversion regards the multipath channel as a distributed antenna. This high-resolution space-time focusing characteristic is reflected by the convolution time inversion channel impulse response, so the time inversion can effectively eliminate the code However, time inversion technology cannot fundamentally eliminate co-channel interference and inter-user interference. According to existing research, IUI is the main system performance limiting factor in multi-user time inversion systems. In this case, the time-reversal precoding technology of massive MIMO is proposed to eliminate the inter-user interference and co-channel interference in MIMO. The precoding technology in massive MIMO means that on the downlink, the base station will In the process of signal processing, the purpose of suppressing inter-user interference is achieved through linear precoding or non-linear precoding.

发明内容SUMMARY OF THE INVENTION

为解决以上技术问题,本发明针对现有预编码技术,提出了基于时间反演技术的迫零预编码方法,基于时间反演的预编码技术能够比较好地抑制干扰并提高系统容量。In order to solve the above technical problems, the present invention proposes a zero-forcing precoding method based on time inversion technology for the existing precoding technology. The precoding technology based on time inversion can better suppress interference and improve system capacity.

本发明大规模MIMO网络中基于时间反演的预编码技术,包括:The precoding technology based on time inversion in the massive MIMO network of the present invention includes:

101、确定大规模MIMO网络的系统模型与终端天线的信道探测信号;101. Determine the system model of the massive MIMO network and the channel sounding signal of the terminal antenna;

102、基站天线通过信道探测信号对多径信道进行信道建模并进行时间反演,确定基站天线端时间反演信号;102. The base station antenna performs channel modeling on the multipath channel through the channel sounding signal and performs time inversion to determine the time inversion signal at the base station antenna;

103、通过信道建模矩阵推导对应的单一用户信道干扰矩阵;103. Derive a corresponding single-user channel interference matrix through a channel modeling matrix;

104、针对该干扰矩阵进行信道奇异值分解,通过迫零预编码技术,在基站天线端设计用户终端的MIMO信道预编码矩阵;104. Perform channel singular value decomposition on the interference matrix, and design the MIMO channel precoding matrix of the user terminal at the base station antenna end by using the zero-forcing precoding technology;

105、负载信号与终端用户的时间反演信号经由信道预编码矩阵,可在用户终端得出相应的负载信号,由此可通过比较判定该方案在减轻用户间干扰与提高信干扰比方面的性能。105. Through the channel precoding matrix, the load signal and the time-reversed signal of the terminal user can obtain the corresponding load signal at the user terminal, so that the performance of the scheme in reducing the interference between users and improving the signal-to-interference ratio can be determined by comparison. .

本发明先后历经信道探测、多径信道建模、干扰信道分析以及信道预编码矩阵设计与时间反演预编码信号传输推导,一方面,利用时间反演技术独特的时空聚焦性,不仅可以获得非常高的天线阵列增益,提高信干噪比,抑制用户间干扰,实现有效的保密通信;另一方面,利用时间反演探测信号获得的信道矩阵,采用迫零预编码技术,通过奇异值分解对多用户MIMO信道进行预编码,由于基站天线可以准确获取各用户的信道状态信息,所以基站天线采用反馈干扰抵消的方法,可实现用户间干扰抑制,并显著提高信干噪比,降低误码率,提升系统性能。The invention has successively gone through channel detection, multipath channel modeling, interference channel analysis, channel precoding matrix design and time inversion precoding signal transmission derivation. The high antenna array gain improves the signal-to-interference-noise ratio, suppresses inter-user interference, and realizes effective secure communication. The multi-user MIMO channel is precoded. Since the base station antenna can accurately obtain the channel state information of each user, the base station antenna adopts the method of feedback interference cancellation, which can achieve interference suppression between users, significantly improve the signal-to-interference noise ratio, and reduce the bit error rate. , to improve system performance.

附图说明Description of drawings

图1大规模MIMO网络系统多径信道模型图;Fig. 1 Multipath channel model diagram of massive MIMO network system;

图2是本发明大规模MIMO网络中基于时间反演的预编码技术的时间反演预编码矩阵推导流程示意图;Fig. 2 is the time-reversed precoding matrix derivation schematic diagram of the time-reversed precoding matrix based on the time-reversed precoding technology in the massive MIMO network of the present invention;

图3是本发明大规模MIMO网络中基于时间反演的预编码技术步骤102时间反演传输模型;3 is a time-reversed transmission model in step 102 of the precoding technique based on time-reversal in a massive MIMO network of the present invention;

图4是系统对于基站天线数目M与接收端单天线用户数目N条件下基于时间反演的预编码技术的仿真模拟。FIG. 4 is a simulation simulation of the precoding technology based on time inversion under the conditions of the number M of base station antennas and the number N of single-antenna users at the receiving end.

具体实施方式Detailed ways

下面将结合本发明实施例中的附图与具体的仿真实例,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅是本发明一部分实施例,而不是全部的实施例,基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings and specific simulation examples in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of them. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without creative work shall fall within the protection scope of the present invention.

时间反演技术是在时域上对所接收到的信号进行一种逆序操作,它将信号按照到达接收端的顺序进行前后倒转,在频域上,它等同于相位共轭,这种技术能够实现信号在时间与空间上的聚焦,所谓的时间反演的时间聚焦是指在复杂媒质中经过多径传输的各时间反演信号的最大能量会在同一时间到达目标接收点,以实现时间上的能量聚焦,而空间聚焦是指,在没有任何关于目标接收点先验知识的情况下,时间反演信号会自适应地聚焦到目标接收点所在位置,以实现空间上的能量聚集,时间反演技术的这种时空聚焦特性能有效补偿非均匀复杂环境或媒质引起的信号多径延迟衰减,因此它在通信和探测等应用领域存在巨大的潜力。Time inversion technology is to perform a reverse sequence operation on the received signal in the time domain. It reverses the signal in the order in which it arrives at the receiving end. In the frequency domain, it is equivalent to phase conjugation. This technology can achieve The focus of the signal in time and space, the so-called time-reversed time-focusing means that the maximum energy of each time-reversed signal after multipath transmission in a complex medium will arrive at the target receiving point at the same time, so as to realize the temporal focus. Energy focusing, while spatial focusing means that, without any prior knowledge about the target receiving point, the time-reversed signal will adaptively focus on the location of the target receiving point to achieve spatial energy gathering and time inversion. This spatiotemporal focusing feature of the technology can effectively compensate for the multipath delay and attenuation of signals caused by non-uniform and complex environments or media, so it has great potential in applications such as communication and detection.

时间反演技术可以分为三个过程,如图3所示:首先,假设空间某处有一信号源,向外发射脉冲信号,经过具有多径效应的传输信道,并由一个无线收发器阵列记录并保存下来,其次,对这些接收信号做时间反演处理,最后,将这些经过时间反演的信号分别从各个收发器的位置上反向发射到与第一步相同的信道中去,那么它们将会聚焦于原信号源处,脉冲信号源的特征会被近似地恢复。The time inversion technology can be divided into three processes, as shown in Figure 3: First, suppose there is a signal source somewhere in space, which transmits a pulse signal outward, passes through a transmission channel with multipath effect, and is recorded by an array of wireless transceivers And save it, secondly, perform time inversion processing on these received signals, and finally, transmit these time-reversed signals from the positions of each transceiver to the same channel as in the first step, then they are The original signal source will be focused, and the characteristics of the pulsed signal source will be approximately restored.

时间反演技术的时-空聚焦特性决定了只有在很小的空间范围和很窄的时间范围内,信号达到最强,而超出其空间聚焦范围和时间聚焦范围,信号极其微弱,所以,时间反演技术的这种时-空聚焦特性具有好的安全保密传输特性,时间反演的空间聚焦特性以及这些时间反演信号所包含着的不同信道,使得这些时间反演信号的截获位置(信号在空间中的最大值点)不同,利用时间反演技术的时-空聚焦性,从针对物理层密钥方案、人工干扰噪声、基于能量聚焦的反窃听等方面进行研究探索,在典型的传输模型基础上建立安全有效的信息传输机制,同时时间反演能有效的消除码间干扰(ISI)、用户间干扰(IUI)等。因其独特的特性,能有效捕获多径传播信号的能量,所以系统信噪比可以得到有效的提高。The time-space focusing characteristics of time inversion technology determine that only in a very small spatial range and a very narrow time range, the signal reaches the strongest, and beyond its spatial focus range and time focus range, the signal is extremely weak, so the time This spatio-temporal focusing characteristic of the inversion technology has good security and confidentiality transmission characteristics, the spatial focusing characteristics of time inversion and the different channels contained in these time-reversed signals make the interception position of these time-reversed signals (signal). The maximum point in space) is different. Using the time-space focusing of time inversion technology, research and exploration are carried out from the aspects of physical layer key scheme, artificial interference noise, and anti-eavesdropping based on energy focusing. Based on the model, a safe and effective information transmission mechanism is established, and time inversion can effectively eliminate inter-symbol interference (ISI) and inter-user interference (IUI). Because of its unique characteristics, it can effectively capture the energy of multipath propagation signals, so the system signal-to-noise ratio can be effectively improved.

针对大规模多输入多输出网络中随基站天线数目与用户终端数目增多而引发的用户间干扰问题,提出一种大规模MIMO网络中基于时间反演的预编码抗干扰技术,该方法在时间反演技术基础上进行信道优化,利用时间反演技术的时空聚焦性实现能量聚焦;同时利用迫零预编码技术降低大规模MIMO系统中用户间干扰与共道干扰,仿真结果验证了时间反演预编码抗干扰技术可以使平均误比特率减小,并显著提高信干噪比和大规模MIMO系统的可达速率。Aiming at the problem of inter-user interference caused by the increase of the number of base station antennas and the number of user terminals in massive multiple-input multiple-output networks, a precoding anti-interference technology based on time inversion in massive MIMO networks is proposed. The channel optimization is carried out on the basis of the inversion technology, and the space-time focusing of the time inversion technology is used to achieve energy focusing. At the same time, the zero-forcing precoding technology is used to reduce the inter-user interference and co-channel interference in the massive MIMO system. The simulation results verify the time inversion precoding. Anti-jamming technology can reduce the average bit error rate, and significantly improve the signal-to-interference-noise ratio and the achievable rate of massive MIMO systems.

根据图1所示,对本发明各个步骤的实施方式进行介绍,包括:According to Fig. 1, the implementation of each step of the present invention is introduced, including:

101、确定大规模MIMO网络的系统模型与终端天线的信道探测信号;101. Determine the system model of the massive MIMO network and the channel sounding signal of the terminal antenna;

102、基站天线通过信道探测信号对多径信道进行信道建模并进行时间反演,确定基站天线端时间反演信号;102. The base station antenna performs channel modeling on the multipath channel through the channel sounding signal and performs time inversion to determine the time inversion signal at the base station antenna;

103、通过信道建模矩阵推导对应的单一用户信道干扰矩阵;103. Derive a corresponding single-user channel interference matrix through a channel modeling matrix;

104、针对该干扰矩阵进行信道奇异值分解,通过迫零预编码技术,在基站天线端设计用户终端的MIMO信道预编码矩阵;104. Perform channel singular value decomposition on the interference matrix, and design the MIMO channel precoding matrix of the user terminal at the base station antenna end by using the zero-forcing precoding technology;

105、负载信号与终端用户的时间反演信号经由信道预编码矩阵,可在用户终端得出相应的负载信号,由此可通过比较判定该方案在减轻用户间干扰与提高信干扰比方面的性能。105. Through the channel precoding matrix, the load signal and the time-reversed signal of the terminal user can obtain the corresponding load signal at the user terminal, so that the performance of the scheme in reducing the interference between users and improving the signal-to-interference ratio can be determined by comparison. .

下面对本发明各个步骤的实施方式进行介绍。Embodiments of each step of the present invention will be introduced below.

所述步骤101、确定大规模MIMO网络的系统模型与终端天线的信道探测信号;即根据数字基带下行链路无线传输系统,设置传输系统为大规模MIMO时分双工信道,其多径信道相对独立且服从多径瑞利衰落,系统模型如图1所示,基站端具有M根发射天线和N个单天线用户终端,基站发射天线向用户端发送独立的数据流,定义X(j)为发送给用户j的信号,其j∈[1,2,...,N],t∈Z是连续时间系数,定义n(t)均值为0,方差为σ2的加性高斯白噪声。In the step 101, determine the system model of the massive MIMO network and the channel sounding signal of the terminal antenna; that is, according to the digital baseband downlink wireless transmission system, the transmission system is set as a massive MIMO time division duplex channel, and its multipath channels are relatively independent And it obeys multipath Rayleigh fading. The system model is shown in Figure 1. The base station has M transmit antennas and N single-antenna user terminals. The base station transmit antenna sends an independent data stream to the user. Define X(j) as sending The signal to user j, whose j∈[1,2,...,N], t∈Z is the continuous time coefficient, defines the additive white Gaussian noise of n(t) with mean 0 and variance σ2.

所述步骤102、基站天线通过信道探测信号对多径信道进行信道建模并进行时间反演,确定基站天线端时间反演信号;时间反演经过探测阶段与再发射阶段后,接收端接收到带有负载信息的时间反演信号,其表示形式为:其中,其中,a为下行链路发射功率,假设这些发送信号具有单位平均功率,H(t)为下行链路信道矩阵,HT(-t)为探测信号在接收端天线时间反演后的信道矩阵(其为探测信号在时域进行逆序操作,在频域上等同于相位共轭),p(-t)为探测信号的逆序操作,由于时间反演具有时空聚焦行,因此在理想信道条件下负载信号通过时间反演技术在MIMO系统可以实现完美的信息传输。在大规模MIMO系统中,基站天线需要同时与多个用户端通信。具体地说,如图1所示,对负载信号的上采样表示形式,要发送给第j个用户端信息(其表示为X(j)),首先由抽样因子D进行上采样以降低符号间干扰,然后通过信道矩阵进行预编码,实际上,为了抑制多径信道引起的ISI,引入抽样因子D也降低了符号传输速率。In step 102, the base station antenna performs channel modeling on the multipath channel through the channel detection signal and performs time inversion to determine the time inversion signal at the base station antenna; after the time inversion passes through the detection phase and the retransmission phase, the receiver receives The time-reversed signal with load information is represented as: Among them, a is the downlink transmit power, assuming that these transmitted signals have unit average power, H(t) is the downlink channel matrix, and H T (-t) is the time-reversed signal of the probe signal at the receiving end antenna. The channel matrix (which is the reverse order operation of the detection signal in the time domain, which is equivalent to the phase conjugation in the frequency domain), p(-t) is the reverse order operation of the detection signal. Under the conditions, the load signal can achieve perfect information transmission in the MIMO system through time inversion technology. In a massive MIMO system, the base station antenna needs to communicate with multiple UEs simultaneously. Specifically, as shown in Fig. 1, the up-sampling representation of the load signal is to be sent to the j-th user terminal information (which is represented as X(j)), firstly, up-sampling is performed by the sampling factor D to reduce the inter-symbol The interference is then pre-coded through the channel matrix. In fact, in order to suppress the ISI caused by the multipath channel, the introduction of the sampling factor D also reduces the symbol transmission rate.

信号形式经上采样后,其表示形式为:对于单天线用户端,假设信号由基站天线到用户终端经L条多径信道传输,因此接收到的系统信号未经预编码矩阵的时间反演传输表示为:After the signal form is upsampled, its representation is: For a single-antenna user terminal, it is assumed that the signal is transmitted from the base station antenna to the user terminal through L multipath channels, so the time-reversed transmission of the received system signal without the precoding matrix is expressed as:

在上式中包含4个部分:用户期望信号部分,用户j接收到的来自其他用户的用户间干扰、符号间干扰以及信道中均值为0,方差为σ2的加性高斯白噪声。The above formula includes four parts: the user's desired signal part, the inter-user interference and inter-symbol interference received by user j from other users, and the additive white Gaussian noise with a mean value of 0 and a variance of σ 2 in the channel.

所述步骤103、通过信道建模矩阵推导对应的单一用户信道干扰矩阵;Described step 103, deriving the corresponding single user channel interference matrix through the channel modeling matrix;

由于实际情况下,信道状态信息存在多径时延和多普勒频移等,时间反演并不能完全适用于实际的大规模MIMO场景,另外信道状态信息存在瑞利衰落,大尺度衰落和阴影衰落等衰落因子,用户间干扰也较理想状态下增大,所以在大规模MIMO系统中,用户间干扰成为制约性能的主要因素,为抑制信道中的IUI,通过信道建模矩阵推导对应的单一用户信道干扰矩阵,定义用户j的干扰信道:通过块对角化方法设计预编码矩阵Mj,使预编码矩阵处于用户j的干扰信道的零空间中,因此单天线用户信道的高容量潜力可以通过并行传输多个数据子信道来实现。Due to the fact that the channel state information has multipath delay and Doppler frequency shift, etc., time inversion is not fully applicable to the actual massive MIMO scenario, and the channel state information has Rayleigh fading, large-scale fading and shadowing With fading factors such as fading, the inter-user interference also increases under ideal conditions. Therefore, in massive MIMO systems, inter-user interference becomes the main factor restricting performance. In order to suppress the IUI in the channel, the corresponding single User channel interference matrix, which defines the interference channel of user j: The precoding matrix Mj is designed by the block diagonalization method so that the precoding matrix is in the null space of the interference channel of user j , so the high capacity potential of the single-antenna user channel can be realized by transmitting multiple data subchannels in parallel.

所述步骤104、针对该干扰矩阵进行信道奇异值分解,通过迫零预编码技术,在基站天线端设计用户终端的MIMO信道预编码矩阵;In step 104, channel singular value decomposition is performed on the interference matrix, and a MIMO channel precoding matrix of the user terminal is designed at the base station antenna end by using the zero-forcing precoding technology;

多径环境下MIMO系统中下行链路的迫零预编码对于用户干扰信道进行预编码矩阵的推导,基于时间反演的预编码技术同样可以用块对角化方法将的奇异值分解,定义其奇异值矩阵为:其中,为干扰矩阵零空间的正交基,令代表的秩,且作为的最右正交基,因此其可用于推导用户预编码矩阵Mj,为使用户j的信息传输处于干扰信道的零空间内,需要满足因此,负载信号一般情况下需要避免卷积空间复用高度相关的信道矩阵,对于时间反演信道来说,Hj的所有行均与线性无关,这样在构建预编码矩阵时可以获得更高的自由度,假设相对独立的信道条件满足每个用户终端,则定义H'S为信道奇异值分解后相对于干扰信道零空间的信道矩阵:The zero-forcing precoding of the downlink in the MIMO system in the multipath environment is used to derive the precoding matrix for the user interference channel. The precoding technology based on time inversion can also use the block diagonalization method. The singular value decomposition of , and its singular value matrix is defined as: in, is the orthonormal basis of the null space of the interference matrix, let represent rank, and as The rightmost orthogonal basis of , so it can be used to derive the user precoding matrix M j , in order to make the information transmission of user j in the interference channel in the null space, needs to be satisfied Therefore, the load signal generally needs to avoid convolutional spatial multiplexing of highly correlated channel matrices. For time-reversed channels, all rows of H j are the same as In this way, a higher degree of freedom can be obtained when constructing the precoding matrix. Assuming that the relatively independent channel conditions satisfy each user terminal, define H' S as the channel matrix relative to the null space of the interference channel after the channel singular value decomposition :

使用基于奇异值分解和迫零预编码的解决方案,使系统总的可达速率在的零空间内达到最大,令H′S用的奇异值分解表达式为:Using a solution based on singular value decomposition and zero-forcing precoding, the total achievable rate of the system is reaches the maximum in the null space of , and the singular value decomposition expression for H′ S is:

选取作为用户j的预编码矩阵,这样用户j的等价传输信道为负载信号经过多径信道传输后,用户端接收到的信号可以表示为:select As the precoding matrix of user j, the equivalent transmission channel of user j is After the load signal is transmitted through the multipath channel, the signal received by the user terminal can be expressed as:

由此可见用户j与基站天线间存在着并行的子信道,消除了用户间干扰,因此对于本发明基于时间反演的预编码技术,根据对等价传输信道的奇异值分解预编码矩阵选取为:其中,Λ矩阵为以特征值为对角元素的对角矩阵。It can be seen that there are parallel sub-channels between user j and the base station antenna, which eliminates inter-user interference. Therefore, for the precoding technology based on time inversion of the present invention, the precoding matrix according to the singular value decomposition of the equivalent transmission channel is selected as : Among them, the Λ matrix is a diagonal matrix with eigenvalues of diagonal elements.

基站天线端负载信号Xj经过时间反演腔与预编码矩阵后,以离散的信号模型进行抽样,接收端用户j的系统信号传输公式为:The load signal X j at the antenna end of the base station is sampled by a discrete signal model after the time-reversal cavity and precoding matrix. The system signal transmission formula of user j at the receiving end is:

最终,用户间干扰在经过时间反演与迫零预编码矩阵后可趋近为零,经时间反演与抽样后符号间干扰也得到一定程度的抑制,但由于预编码矩阵的存在,信道中的加性高斯白噪声得到了一定程度的增强,因此在高信噪比的情况下,时间反演预编码技术可以获得更高的信干噪比。Finally, the inter-user interference can approach zero after time inversion and zero-forcing precoding matrix, and the inter-symbol interference can also be suppressed to a certain extent after time inversion and sampling. The additive white Gaussian noise has been enhanced to a certain extent, so in the case of high signal-to-noise ratio, the time-reversal precoding technique can obtain a higher signal-to-interference-to-noise ratio.

所述步骤105、负载信号与终端用户的时间反演信号经由信道预编码矩阵,可在用户终端得出相应的负载信号,由此可通过比较判定该方案在减轻用户间干扰与提高信干扰比方面的性能。In step 105, the load signal and the time-reversed signal of the terminal user can obtain the corresponding load signal at the user terminal through the channel precoding matrix, so that it can be determined by comparison that the scheme can reduce the interference between users and improve the signal-to-interference ratio. aspect performance.

在接收端可接收到期望信号的的功率,在不考虑信道衰减的前提下应为a,对于用户j符号间干扰信号功率,其值与抽样因子D,多径信道条数L有关,因此ISI功率极大依赖与传输环境,同理,随传输天线M增加,接收端j的用户间干扰也会随之增加,因此可以推到得到:The power of the desired signal that can be received at the receiving end should be a without considering the channel attenuation. For the inter-symbol interference signal power of user j, its value is related to the sampling factor D and the number of multipath channels L, so the ISI The power greatly depends on the transmission environment. Similarly, as the transmission antenna M increases, the inter-user interference at the receiving end j will also increase, so it can be deduced that:

接收端接收到的期望信号的功率为: The power of the desired signal received by the receiver is:

符号间干扰功率为: The intersymbol interference power is:

用户间干扰功率为: The inter-user interference power is:

接收端的信干噪比为:The signal-to-interference-to-noise ratio at the receiver is:

通过计算平均用户误码率来评估研究系统的性能,根据最大似然比预编码方法误码率的公式推导方法,大规模MIMO系统的每个用户经由多径信道传输的负载信号性能取决于所使用的预编码方案,此外,由于对角化迫零预编码功能,信息负载信号在用户端统计上取决于多径信道及上采样的实现,由此影响接收端用户功率、符号间干扰功率及用户间干扰功率,因此,定义ρ为发送信噪比,即总发送功率Pε与加性高斯白噪声功率σ2之间的比率:The performance of the research system is evaluated by calculating the average user bit error rate. According to the formula derivation method of the bit error rate of the maximum likelihood ratio precoding method, the performance of the load signal transmitted by each user of the massive MIMO system via the multipath channel depends on the The precoding scheme used, in addition, due to the diagonal zero-forcing precoding function, the information-carrying signal is statistically dependent on the multipath channel and the implementation of upsampling at the user end, which affects the user power, intersymbol interference power, and upsampling at the receiving end. Inter-user interference power, therefore, ρ is defined as the transmit signal-to-noise ratio, that is, the ratio between the total transmit power P ε and the additive white Gaussian noise power σ 2 :

对于计算QPSK调制的平均误码率,通过发送信噪比函数来评估所提出的大规模MIMO系统的理论性能,对于不同接收端单天线用户,其信噪比决定于其预编码矩阵,以QPSK作为调制方式,对于接收端用户其信噪比定义为:For calculating the average bit error rate of QPSK modulation, the theoretical performance of the proposed massive MIMO system is evaluated by transmitting the signal-to-noise ratio function. As a modulation method, the signal-to-noise ratio for the receiving end user is defined as:

SNR=xρSNR=xρ

其中x是接收端负载信号通过预编码矩阵后的期望信号Psig(k)的概率密度函数,因此用户端误码率表示为: where x is the probability density function of the expected signal P sig (k) after the load signal at the receiving end passes through the precoding matrix, so the bit error rate at the user end is expressed as:

对于时间反演预编码技术,定义分块迫零预编码的传输信噪比,在忽略符号间干扰,本文提出的预编码技术抑制用户间干扰后,ρZF表达式为:For the time-reversal precoding technology, the transmission signal-to-noise ratio of the block zero-forcing precoding is defined, and the inter-symbol interference is ignored. After the precoding technology proposed in this paper suppresses the inter-user interference, the expression of ρ ZF is:

其中,为独立同分布标准差为的高斯变量集合,其满足形状参数为NR,尺度参数为2σ2=1伽马分布,根据伽马分布概率密度函数,其概率密度函数定义为: in, is the independent and identically distributed standard deviation of The Gaussian variable set of , which satisfies the shape parameter of NR and the scale parameter of 2σ 2 =1 gamma distribution. According to the probability density function of the gamma distribution, its probability density function is defined as:

因此,大规模MIMO系统误码率表示为:Therefore, the bit error rate of massive MIMO system is expressed as:

以上为本发明基于时间反演预编码抗干扰方法的详细阐述,旨在让大规模MIMO网络中,用户间干扰在该方法下达到最小,保障负载信号在多径信道的高效、准确传输,下面将对大规模MIMO网络中时间反演预编码抗干扰方法性能做仿真可视化处理,并结合具体的场景,以帮助读者理解,并将时间反演预编码抗干扰方法表现出的抗干扰性能进行比较说明。The above is a detailed elaboration of the anti-interference method based on time-reversal precoding in the present invention, which aims to minimize inter-user interference in massive MIMO networks and ensure efficient and accurate transmission of load signals in multipath channels. The following The performance of the time-reversal precoding anti-jamming method in massive MIMO networks will be simulated and visualized, combined with specific scenarios to help readers understand, and the anti-jamming performance of the time-reversal precoding anti-jamming method will be compared. illustrate.

在仿真实例中我们考虑MIMO通信网络中的瑞利衰落,系统模型中多径信道服从CN(0,0.5)的瑞利衰落,阴影衰落以及自由路径损耗主要考虑理想多径环境下的增益与衰落,仿真运行平台为windows下的matlab7.1。仿真网络系统中信道带宽为W=500MHz,负载信号的上采样因子设定为D=15,仿真设定每秒帧数设定为102帧,每帧比特数为103,多径信道设定为1000条空间相关信道来实现,通过基站天线数目M与接收端单天线用户数目N来进行分析比较说明。In the simulation example, we consider Rayleigh fading in MIMO communication network, the multipath channel in the system model obeys the Rayleigh fading of CN(0,0.5), shadow fading and free path loss mainly consider the gain and fading under ideal multipath environment , the simulation running platform is matlab7.1 under windows. In the simulated network system, the channel bandwidth is W=500MHz, the upsampling factor of the load signal is set to D=15, the number of frames per second in the simulation is set to 10 2 frames, the number of bits per frame is 10 3 , and the multipath channel is set to It is determined as 1000 spatial correlation channels to realize, and it is analyzed and compared through the number M of base station antennas and the number N of single-antenna users at the receiving end.

仿真设定基站天线数目相同情况下比较不同用户端数目情况下,时间反演预编码技术与传统时间反演技术在大规模MIMO场景下的系统性能分析,基站天线数目M=64,用户数目N分别设定为5、10的情况下,比较时间反演预编码技术误码率性能变化趋势,在相同的上采样因子D下,当基站数目不变时,随着接收端单天线用户数目的增多,用户端信息分量的功率减少,用户间干扰增加,因此随着用户数目越多,用户间干扰增加,同时符号间干扰也相应的增大,其每个用户的误码率也越高,在大规模MIMO场景下,时间反演预编码技术在相同条件下信噪比为-10dB,N=10时,其仿真结果与理论分析值一致均为0.084,且小于普通预编码技术的0.113与时间反演技术的0.093,随SNR不断增大普通预编码技术误码率在5dB时逐渐趋于平稳,最终其误码率最小可达0.87*10-4,相同条件下基于时间反演的预编码技术的误码率可达到10-8远远小于时间反演技术与普通预编码技术,设定相同单天线用户数目情况下,比较基站天线数目不同情况下,用户平均误码率,对于时间反演技术来说,基站天线数目增多,有用信号功率也随之增加,但基站负载信号的相关性也随之增加,对于用户间干扰,用户数目不变,其干扰会随基站天线数目增多而增大,当基站天线数目M分别设定为64、128时,用户平均误码率也随天线数目的增多而增大,具体分析而言,基站天线数目N=10,单天线用户终端数目为128时,仿真结果与理论分析值在SNR为-10dB时大致相同为0.136,小于普通预编码技术的0.574与时间反演技术的0.326,随SNR不断增大三种抗干扰技术均在信噪比为0-5dB时逐渐趋于平稳,最终基于时间反演的预编码技术的误码率最小可达0.724*10-5,因此相同条件下基于时间反演的预编码技术的误码率性能远小于时间反演技术与普通预编码技术。The simulation sets the system performance analysis of time-reversal precoding technology and traditional time-reversal technology in massive MIMO scenarios when the number of base station antennas is the same and compared with the number of users. The number of base station antennas is M=64, and the number of users is N. Under the same upsampling factor D, when the number of base stations remains unchanged, as the number of single-antenna users at the receiving end increases. increase, the power of the information component at the user end decreases, and the inter-user interference increases. Therefore, as the number of users increases, the inter-user interference increases, and the inter-symbol interference also increases accordingly, and the bit error rate of each user is also higher. In the massive MIMO scenario, the time-reversal precoding technology has a signal-to-noise ratio of -10dB under the same conditions, and when N=10, the simulation results are consistent with the theoretical analysis value of 0.084, which is smaller than 0.113 and 0.113 of the common precoding technology. The time inversion technology is 0.093, with the continuous increase of SNR, the bit error rate of ordinary precoding technology gradually becomes stable at 5dB, and finally its minimum bit error rate can reach 0.87*10 -4 . Under the same conditions, the precoding technology based on time inversion The bit error rate of the coding technology can reach 10 -8 , which is much lower than that of the time inversion technology and the common precoding technology. When the number of users on a single antenna is set to be the same, the average bit error rate of the users is compared when the number of base station antennas is different. In terms of inversion technology, the number of base station antennas increases, and the useful signal power also increases, but the correlation of base station load signals also increases. For inter-user interference, the number of users does not change, and the interference will increase with the increase of the number of base station antennas. When the number of base station antennas M is set to 64 and 128 respectively, the average bit error rate of users also increases with the increase of the number of antennas. Specifically, the number of base station antennas is N=10, and the number of single-antenna user terminals is When the SNR is -10dB, the simulation result and the theoretical analysis value are roughly the same, which is 0.136, which is smaller than 0.574 of the common precoding technology and 0.326 of the time inversion technology. When it is 0-5dB, it gradually becomes stable, and finally the bit error rate of the time-reversal-based precoding technology can reach a minimum of 0.724*10 -5 . Therefore, under the same conditions, the bit error rate performance of the time-reversal-based precoding technology is far Less than time inversion technology and common precoding technology.

另外,比较相同基站天线数目情况下,不同接收端单天线用户对于可达速率的影响,对于无线多径传输环境,研究表明,基站传输天线越多系统可达速率越高,接收端单天线用户数越多,系统可达速率越高,对于基站天线数目对可达速率影响的研究,本发明仿真阶段设置单天线用户端数目N为10的情况下,基站天线数目为32和64时可达速率的比较,由图4可以看出基于时间反演的预编码技术在信噪比为-30dB,M=64时其可达速率为31.5bps/Hz,大于时间反演技术的26.3bps/Hz与普通预编码技术的27.7bps/Hz,随SNR的不断增加,三种抗干扰技术的可达速率均会保持稳定,且采用时间反演预编码技术的可达速率达到49.8bps/Hz远高于时间反演抗干扰技术40.4bps/Hz和普通预编码技术35.1bps/Hz,比较相同基站天线数目情况下,不同接收端单天线用户对于可达速率的影响,对于无线多径传输环境,研究表明,基站传输天线越多系统可达速率越高,接收端单天线用户数越多,系统可达速率越高,基于时间反演的预编码技术相对于时间反演技术与文普通预编码技术,可以提供更高的复用增益。In addition, under the condition of the same number of base station antennas, the influence of different single-antenna users at the receiving end on the achievable rate is compared. For the wireless multipath transmission environment, the research shows that the more base station transmission antennas, the higher the achievable rate of the system, and the single-antenna users at the receiving end. The more the number, the higher the reachable rate of the system. For the research on the influence of the number of base station antennas on the reachable rate, in the simulation stage of the present invention, when the number of single-antenna user terminals N is 10, the number of base station antennas is 32 and 64. Rate comparison, it can be seen from Figure 4 that the precoding technology based on time inversion has a signal-to-noise ratio of -30dB, and when M=64, its achievable rate is 31.5bps/Hz, which is greater than the time inversion technology. 26.3bps/Hz Compared with 27.7bps/Hz of common precoding technology, with the continuous increase of SNR, the achievable rate of the three anti-interference technologies will remain stable, and the achievable rate of time-reversal precoding technology will reach 49.8bps/Hz, which is much higher. Based on the time inversion anti-jamming technology of 40.4bps/Hz and the common precoding technology of 35.1bps/Hz, comparing the influence of single-antenna users at different receivers on the achievable rate under the same number of base station antennas, for the wireless multipath transmission environment, research It shows that the more base station transmission antennas, the higher the achievable rate of the system, the more the number of single-antenna users at the receiving end, and the higher the achievable rate of the system. , which can provide higher multiplexing gain.

本发明所举实施方式或者实施例对本发明的目的、技术方案和优点进行了详细说明,所应理解的是,以上所举实施方式或者实施例仅为本发明的优选实施方式而已,并不用以限制本发明,凡在本发明的精神和原则之内对本发明所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The embodiments or examples of the present invention describe in detail the objectives, technical solutions and advantages of the present invention. It should be understood that the above-mentioned embodiments or examples are only preferred embodiments of the present invention, and are not intended to be used for To limit the present invention, any modification, equivalent replacement, improvement, etc. made to the present invention within the spirit and principle of the present invention shall be included within the protection scope of the present invention.

Claims (9)

1. The precoding technology based on time reversal in the large-scale MIMO network is characterized in that: the method comprises the following steps:
101. determining a system model of a large-scale MIMO network and a channel detection signal of a terminal antenna;
102. the base station antenna carries out channel modeling and time reversal on a multipath channel through a channel detection signal, and determines a time reversal signal of the base station antenna end;
103. deducing a corresponding single user channel interference matrix through a channel modeling matrix;
104. performing channel singular value decomposition on the interference matrix, and designing an MIMO channel precoding matrix of the user terminal at the antenna end of the base station through a zero-forcing precoding technology;
105. the load signal and the time reversal signal of the terminal user can obtain the corresponding load signal at the user terminal through the channel pre-coding matrix, so that the performance of the scheme in the aspects of reducing the interference between users and improving the signal-to-interference ratio can be judged through comparison.
2. The precoding technique based on time reversal in massive MIMO network as claimed in claim 1, wherein: after the time reversal passes through the detection stage and the re-emission stage, a receiving end receives a time reversal signal with load information, and the representation form is as follows:because time reversal has space-time focusing property, under ideal channel condition, the load signal can realize perfect information transmission in MIMO system by time reversal technique.
3. The precoding technique based on time reversal in massive MIMO network as claimed in claim 1, wherein: in a massive MIMO system, a base station antenna needs to communicate with multiple user terminals simultaneously, specifically, for an up-sampling representation of a load signal, information (denoted as x (j)) to a jth user terminal is sent, and is first up-sampled by a sampling factor D to reduce inter-symbol interference, and then precoded through a channel matrix.
4. The precoding technique based on time reversal in massive MIMO network as claimed in claim 1, wherein the representation form of the signal after up-sampling is:for a single-antenna subscriber terminal, it is assumed that the signal is transmitted from the base station antenna to the subscriber terminal via L multipath channels and is thus receivedThe time-reversal transmission of the system signal without the pre-coding matrix is represented as:
the above formula contains 4 moieties: the user desired signal portion, the user j received the inter-user interference, the inter-symbol interference and the mean value of the channel from other users are 0, and the variance is sigma2White additive gaussian noise.
5. The method of claim 3, wherein the interference matrix of the corresponding single user channel is derived by a channel modeling matrix, and the interference channel of the user j is defined as follows:design precoding matrix M by block diagonalization methodjThe precoding matrix is in the null space of the interfering channel of user j, so the high capacity potential of a single antenna user channel can be achieved by transmitting multiple data subchannels in parallel.
6. The precoding technique based on time reversal in massive MIMO network as claimed in claim 1, wherein the precoding matrix derivation is performed on the user interference channel by the zero-forcing precoding in downlink in MIMO system under multipath environment, and the precoding technique based on time reversal can also be performed by using block diagonalization methodThe singular value matrix is defined as:wherein,for orthogonal basis of null space of interference matrix, orderRepresentsIs of a rank ofAsSo it can be used to derive the user precoding matrix Mj
7. The precoding technique based on time reversal in massive MIMO network as claimed in claim 1, wherein the information transmission of user j is in interference channelIn the null space of (a) or (b),need to satisfyIn general, it is therefore desirable to avoid convolving spatially-multiplexed highly correlated channel matrices, H for time-reversed channelsjAll rows of (2) are connected toIs linearly independent, so that a higher degree of freedom can be obtained in constructing the precoding matrix, and H 'is defined assuming that relatively independent channel conditions satisfy each user terminal'SThe channel matrix of the null space relative to the interference channel after the singular value decomposition of the channel is as follows:
8. the precoding technique based on time reversal in massive MIMO network as claimed in claim 1, wherein the solution based on singular value decomposition and zero-forcing precoding is used to make the total achievable rate of the system atIs maximized in the null space of (1), let H'SThe singular value decomposition expression used is:
selectingAs the precoding matrix for user j. So that the equivalent transmission channel for user j isAfter the load signal is transmitted through the multipath channel, the signal received by the user terminal can be represented as:
therefore, parallel sub-channels exist between the user j and the base station antenna, and interference among users is eliminated. Therefore, in the precoding technology based on time reversal in the large-scale MIMO network, through singular value decomposition, the precoding matrix is selected as follows:wherein, the Λ matrix is a diagonal matrix with eigenvalues as diagonal elements.
9. The precoding technique based on time reversal in massive MIMO network as claimed in claim 1, wherein the base station antenna end loads signal XjTime-lapse inversion chamberAfter the precoding matrix is matched, sampling is carried out by a discrete signal model, and a system signal transmission formula of a receiving end user j is as follows:
finally, the inter-user interference can approach to zero after time reversal and zero forcing precoding matrix, the inter-symbol interference is also inhibited to a certain extent after time reversal and sampling, but due to the existence of the precoding matrix, additive white Gaussian noise in a channel is enhanced to a certain extent, so that under the condition of high signal-to-noise ratio, the time reversal precoding technology can obtain higher signal-to-interference-plus-noise ratio.
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