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CN111818533A - A Design Method of Wireless Communication System Based on Smart Reflector - Google Patents

A Design Method of Wireless Communication System Based on Smart Reflector Download PDF

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CN111818533A
CN111818533A CN202010500147.2A CN202010500147A CN111818533A CN 111818533 A CN111818533 A CN 111818533A CN 202010500147 A CN202010500147 A CN 202010500147A CN 111818533 A CN111818533 A CN 111818533A
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wireless communication
communication system
base station
user
intelligent
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CN111818533B (en
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钟财军
王俊伟
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Zhejiang University ZJU
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/18Network planning tools
    • 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
    • H04WWIRELESS COMMUNICATION NETWORKS
    • H04W16/00Network planning, e.g. coverage or traffic planning tools; Network deployment, e.g. resource partitioning or cells structures
    • H04W16/24Cell structures
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02DCLIMATE CHANGE MITIGATION TECHNOLOGIES IN INFORMATION AND COMMUNICATION TECHNOLOGIES [ICT], I.E. INFORMATION AND COMMUNICATION TECHNOLOGIES AIMING AT THE REDUCTION OF THEIR OWN ENERGY USE
    • Y02D30/00Reducing energy consumption in communication networks
    • Y02D30/70Reducing energy consumption in communication networks in wireless communication networks

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Abstract

The invention discloses a design method of a wireless communication system based on an intelligent reflecting surface, which comprises the steps that the wireless communication system comprises a base station, the intelligent reflecting surface and a user, and the design method of the wireless communication system comprises the following steps: the base station is provided with M antennas, and signals are transmitted to users after being precoded by using the channel state information of the antennas; the intelligent reflecting surface is provided with N reflecting units, and signals from the base station are reflected to a user after phase coding is carried out on the signals by utilizing channel state information of the reflecting units; and jointly designing the signal precoding of the base station and the phase coding of the intelligent reflecting surface, and optimally updating a precoding vector and a diagonal phase shift matrix to determine a user receiving signal by taking the maximum traversal capacity as a target. Therefore, the communication quality of the wireless communication system when the line-of-sight path is lost or bad can be greatly improved, and the defect of high energy consumption of the traditional relay is overcome.

Description

一种基于智能反射面的无线通信系统设计方法A Design Method of Wireless Communication System Based on Smart Reflector

技术领域technical field

本发明涉及无线通信领域,具体涉及一种基于智能反射面的无线通信系统设计方法。The invention relates to the field of wireless communication, in particular to a method for designing a wireless communication system based on an intelligent reflective surface.

背景技术Background technique

当前的第五代移动通信技术,比如大规模天线技术,已经可以使无线通信系统达到极高的频谱效率和吞吐量。然而在信号的传播路径上障碍物的存在仍然会使得通信质量大为下降,对于毫米波通信来说尤其如此,因为毫米波的路径损耗和穿透损耗都很大。针对这个问题,传统的解决方法是在信号差的地方添置中继来转发信号,不过,由于中继会对收到的信号进行数字处理,使其具有较高的数据处理能力需求和较高的功耗。Current fifth-generation mobile communication technologies, such as large-scale antenna technology, have enabled wireless communication systems to achieve extremely high spectral efficiency and throughput. However, the existence of obstacles on the signal propagation path will still greatly degrade the communication quality, especially for millimeter wave communication, because the path loss and penetration loss of millimeter wave are large. Aiming at this problem, the traditional solution is to add relays in places with poor signals to forward the signals. However, because the relays will digitally process the received signals, it has higher data processing capacity requirements and higher requirements. power consumption.

近些年出现的智能反射面技术受到了业界的广泛关注。其设想了在未来场景中,人造建筑将越来越智能化,其表面集成了电子技术服务于无电线通信。智能反射面是一种相对低廉的人工造物,它可以反射电磁波并在这个过程中对入射电磁波的相位进行调制,从而达到更好的通信性能。值得一提的是,智能反射面中的小型被动反射单元只会调整入射信号的相位,而不需要对其进行编解码和转发,因此,它的低功耗特性优于传统中继,并能在视距路径缺失的情况下可以大大改善通信质量,提高毫米波信号的覆盖范围。In recent years, the smart reflective surface technology has received extensive attention in the industry. It envisions a future scenario in which man-made buildings will become more and more intelligent, with electronic technology integrated on their surfaces for wire-free communication. Smart reflectors are relatively inexpensive artificial artifacts that reflect electromagnetic waves and modulate the phase of incident electromagnetic waves in the process, resulting in better communication performance. It is worth mentioning that the small passive reflective unit in the smart reflective surface will only adjust the phase of the incident signal without encoding, decoding and forwarding it. In the absence of line-of-sight paths, the communication quality can be greatly improved, and the coverage of millimeter-wave signals can be improved.

现有的采用智能反射面的通信系统包括:申请公布号为CN110830097A的专利申请公开了一种基于反射面的主被动互惠共生传输通信系统,包括单天线发射基站、含多个独立可控的反射单元的智能反射面以及单天线主被动协同接收机,智能反射面与传感器连接;单天线发射基站和智能反射面构成互惠共生通信系统发射部分,分别发射主动信号与被动信号;单天线协同接收机同时接收主动信号和被动信号,并分别解调出来自基站的主动信息和来自与智能反射面相连的传感器的被动信息,其中被动信息通过无线信道的时延长度进行指示。Existing communication systems using smart reflectors include: Patent Application Publication No. CN110830097A discloses a reflector-based active-passive reciprocal symbiosis transmission communication system, including a single-antenna transmitting base station, a plurality of independently controllable reflectors The intelligent reflector of the unit and the single-antenna active and passive cooperative receiver, the intelligent reflector is connected with the sensor; the single-antenna transmitting base station and the intelligent reflector constitute the transmitting part of the reciprocal symbiosis communication system, respectively transmitting active signals and passive signals; the single-antenna cooperative receiver Receive active and passive signals at the same time, and demodulate the active information from the base station and the passive information from the sensor connected to the smart reflective surface, wherein the passive information is indicated by the time extension of the wireless channel.

再如申请公布号为CN111181615A的专利申请公开的一种基于智能反射面的多小区无线通信方法,该方法所针对的系统包括多个协作小区,在协作小区中设置了智能反射面,每个协作小区中均有基站和用户终端;所述方法包括:用户终端向各个协作小区中的基站发射导频信号,各基站估计信道状态信息并共享,并获取全局信道状态信息,制定发射波束成形模型;智能反射面制定反射波束成形模型,通过建模求解得到发射波束成形、反射波束成形的系数,从而形成抑制干扰的信号。Another example is a multi-cell wireless communication method based on an intelligent reflection surface disclosed in the patent application with the application publication number of CN111181615A. The system targeted by the method includes a plurality of cooperative cells, and an intelligent reflection surface is set in the cooperative cells. There are base stations and user terminals in each cell; the method includes: the user terminal transmits pilot signals to base stations in each cooperative cell, each base station estimates and shares channel state information, acquires global channel state information, and formulates a transmit beamforming model; The intelligent reflector formulates a reflection beamforming model, and obtains the coefficients of transmit beamforming and reflection beamforming by modeling and solving, so as to form a signal that suppresses interference.

发明内容SUMMARY OF THE INVENTION

本发明的目的在于针对现有技术的不足,提供一种基于智能反射面的无线通信系统设计方法。The purpose of the present invention is to provide a method for designing a wireless communication system based on an intelligent reflective surface, aiming at the deficiencies of the prior art.

本发明采用下述技术方案:The present invention adopts following technical scheme:

一种基于智能反射面的无线通信系统设计方法,包括无线通信系统包括基站、智能反射面和用户,所述无线通信系统设计方法包括以下步骤:A method for designing a wireless communication system based on an intelligent reflective surface, comprising the following steps:

为所述基站配备M根天线,利用天线的信道状态信息对信号进行预编码后发射至用户;Equipping the base station with M antennas, using the channel state information of the antennas to precode the signal and then transmitting it to the user;

为所述智能反射面配备N个反射单元,利用反射单元的信道状态信息对来自基站的信号进行相位编码后反射至用户;The intelligent reflective surface is equipped with N reflective units, and the signal from the base station is phase-coded by using the channel state information of the reflective units and then reflected to the user;

联合设计基站的信号预编码和智能反射面的相位编码,设计方法为:Jointly design the signal precoding of the base station and the phase coding of the smart reflector. The design method is as follows:

基站发送信号s,用户接收信号r为:The base station sends the signal s, and the user receives the signal r as:

Figure BDA0002524401140000031
Figure BDA0002524401140000031

其中,P是信号s的发送功率;f∈C1×M为基站的预编码向量,满足||f||2=1;g∈C1×M为基站与用户之间的信道;H1∈CN×M为基站与智能反射面之间的信道;h2∈C1×N为智能反射面与用户之间的信道;

Figure BDA0002524401140000032
是智能反射面的对角相移矩阵,φn∈[0,2π)是第n个反射单元引入的相位偏移;
Figure BDA0002524401140000033
是复高斯噪声,σ为高斯噪声的方差;上标H代表共轭转置;H1,h2,g均为莱斯信道;Among them, P is the transmit power of the signal s; f∈C 1×M is the precoding vector of the base station, satisfying ||f|| 2 =1; g∈C 1×M is the channel between the base station and the user; H 1 ∈C N×M is the channel between the base station and the smart reflector; h 2 ∈C 1×N is the channel between the smart reflector and the user;
Figure BDA0002524401140000032
is the diagonal phase shift matrix of the smart reflection surface, φ n ∈ [0,2π) is the phase shift introduced by the nth reflection unit;
Figure BDA0002524401140000033
is the complex Gaussian noise, σ is the variance of the Gaussian noise; the superscript H represents the conjugate transpose; H 1 , h 2 , and g are all Rice channels;

以最大遍历容量为目的,优化更新预编码向量f和对角相移矩阵Φ,以确定用户接收信号r。For the purpose of maximum ergodic capacity, the precoding vector f and the diagonal phase shift matrix Φ are optimized and updated to determine the user received signal r.

其中,H1,h2,g满足:Among them, H 1 , h 2 , g satisfy:

Figure BDA0002524401140000034
Figure BDA0002524401140000034

Figure BDA0002524401140000035
Figure BDA0002524401140000035

Figure BDA0002524401140000036
Figure BDA0002524401140000036

其中,α11,α22,α33均为莱斯信道的参数,

Figure BDA0002524401140000037
为视距路径分量,
Figure BDA0002524401140000038
为非视距路径分量,视距路径分量用均匀线性阵列的信道表示,令aN(θ)=[1,ej θ,…,ej(N-1)θ],aM(θ)=[1,e,…,ej(M-1)θ],N和M为自然数,则
Figure BDA0002524401140000039
Figure BDA00025244011400000310
θAoA,1表示智能反射面处天线的等效入射角,θAoD,1表示基站到智能反射面的等效发射角,θAoD,2表示智能反射面到用户的等效发射角,θAoD,3表示基站到用户的等效发射角,
Figure BDA00025244011400000311
中的每个元素均服从均值为0,方差为1的高斯分布,且相互独立。Among them, α 1 , β 1 , α 2 , β 2 , α 3 , β 3 are all parameters of the Rice channel,
Figure BDA0002524401140000037
is the line-of-sight path component,
Figure BDA0002524401140000038
is the non-line-of-sight path component, the line-of-sight path component is represented by a channel of a uniform linear array, let a N (θ)=[1,e j θ ,...,e j(N-1)θ ], a M (θ) =[1,e ,...,e j(M-1)θ ], N and M are natural numbers, then
Figure BDA0002524401140000039
Figure BDA00025244011400000310
θ AoA,1 represents the equivalent incident angle of the antenna at the smart reflector, θ AoD,1 represents the equivalent emission angle from the base station to the smart reflector, θ AoD,2 represents the equivalent emission angle from the smart reflector to the user, θ AoD , 3 represents the equivalent launch angle from the base station to the user,
Figure BDA00025244011400000311
Each element in is subject to a Gaussian distribution with mean 0 and variance 1, and is independent of each other.

其中,以最大遍历容量为目的,需要解决如下优化问题:Among them, in order to maximize the traversal capacity, the following optimization problems need to be solved:

Figure BDA0002524401140000041
Figure BDA0002524401140000041

Figure BDA0002524401140000042
Figure BDA0002524401140000042

||f||2=1||f|| 2 = 1

其中遍历容量

Figure BDA0002524401140000043
为which traverse capacity
Figure BDA0002524401140000043
for

Figure BDA0002524401140000044
Figure BDA0002524401140000044

优化方法为:The optimization method is:

Figure BDA0002524401140000045
Figure BDA0002524401140000045

V由矩阵H的奇异值分解H=U∑VH得到,其中V is obtained by the singular value decomposition of matrix H, H=U∑V H , where

Figure BDA0002524401140000046
Figure BDA0002524401140000046

与现有技术相比,本发明具有的有益效果至少包括:Compared with the prior art, the beneficial effects of the present invention at least include:

本发明提供的基于智能反射面的无线通信系统设计方法通过对基站的信号预编码和智能反射面的相位编码的联合设计,以最大遍历容量为目的来优化预编码向量和对角相移矩阵,以确定用户接收信号。这样能够大大改善了视距路径缺失或恶劣时无线通信系统的通信质量,并克服了传统中继能耗高的缺点。The method for designing a wireless communication system based on an intelligent reflecting surface provided by the present invention optimizes the precoding vector and the diagonal phase shift matrix for the purpose of maximizing the traversal capacity by jointly designing the signal precoding of the base station and the phase encoding of the intelligent reflecting surface, to determine that the user receives the signal. This can greatly improve the communication quality of the wireless communication system when the line-of-sight path is missing or poor, and overcome the disadvantage of high energy consumption of traditional relays.

附图说明Description of drawings

为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图做简单地介绍,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前提下,还可以根据这些附图获得其他附图。In order to illustrate the embodiments of the present invention or the technical solutions in the prior art more clearly, the following briefly introduces the accompanying drawings used in the description of the embodiments or the prior art. Obviously, the drawings in the following description are only These are 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.

图1为本发明的基于智能反射面的无线通信系统;Fig. 1 is the wireless communication system based on the intelligent reflecting surface of the present invention;

图2为本发明实施例的算法收敛速度图;Fig. 2 is the algorithm convergence speed diagram of the embodiment of the present invention;

图3为本发明实施例的算法优化设计和随机设计的性能比较图。FIG. 3 is a performance comparison diagram of an algorithm optimization design and a random design according to an embodiment of the present invention.

具体实施方式Detailed ways

为使本发明的目的、技术方案及优点更加清楚明白,以下结合附图及实施例对本发明进行进一步的详细说明。应当理解,此处所描述的具体实施方式仅仅用以解释本发明,并不限定本发明的保护范围。In order to make the objectives, technical solutions and advantages of the present invention clearer, the present invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present invention, and do not limit the protection scope of the present invention.

图1给出了基于智能反射面的无线通信系统,该基于智能反射面的无线通信系统由基站Bs,智能反射面LIS和用户User组成。其中基站Bs配备了包含M根天线单元的大规模均匀线性阵列,服务于一个单天线用户,在基站Bs和用户之间User设立了一个包含N个反射元的智能反射面,其中反射元按均匀线性阵列排列。图1中,f∈C1×M为基站的波束赋形向量,满足|f|2=1;g∈C1×M为基站与用户之间的直接信道,可能受障碍物阻挡;H1∈CN×M为基站与智能反射面之间的信道;h2∈C1×N为智能反射面与用户之间的信道;发送的信号为s,满足E{|s|2}=1。于是,用户接收到的信号r为:Figure 1 shows a wireless communication system based on an intelligent reflective surface. The wireless communication system based on an intelligent reflective surface is composed of a base station Bs, an intelligent reflective surface LIS and a user User. The base station Bs is equipped with a large-scale uniform linear array containing M antenna elements to serve a single-antenna user. Between the base station Bs and the user, User sets up an intelligent reflector containing N reflectors. The reflectors are uniform Linear array arrangement. In Figure 1, f∈C 1×M is the beamforming vector of the base station, satisfying |f| 2 =1; g∈C 1×M is the direct channel between the base station and the user, which may be blocked by obstacles; H 1 ∈C N×M is the channel between the base station and the smart reflector; h 2 ∈C 1×N is the channel between the smart reflector and the user; the transmitted signal is s, which satisfies E{|s| 2 }=1 . Therefore, the signal r received by the user is:

Figure BDA0002524401140000051
Figure BDA0002524401140000051

其中P是发送功率;

Figure BDA0002524401140000061
是智能反射面的对角相移矩阵,φn∈[0,2π)是第n个反射单元引入的相位偏移;
Figure BDA0002524401140000062
是复高斯噪声;(·)H代表共轭转置;where P is the transmit power;
Figure BDA0002524401140000061
is the diagonal phase shift matrix of the smart reflection surface, φ n ∈ [0,2π) is the phase shift introduced by the nth reflection unit;
Figure BDA0002524401140000062
is complex Gaussian noise; (·) H stands for conjugate transpose;

H1,h2,g均为莱斯信道,满足:H 1 , h 2 , and g are all Rice channels, satisfying:

Figure BDA0002524401140000063
Figure BDA0002524401140000063

Figure BDA0002524401140000064
Figure BDA0002524401140000064

Figure BDA0002524401140000065
Figure BDA0002524401140000065

其中αii为莱斯信道的参数,

Figure BDA0002524401140000066
为视距路径分量,
Figure BDA0002524401140000067
为非视距路径分量。视距路径分量用均匀线性阵列的信道表示,令aN(θ)=[1,e,…,ej(N-1)θ],则
Figure BDA0002524401140000068
Figure BDA0002524401140000069
Figure BDA00025244011400000610
中的每个元素均服从均值为0,方差为1的高斯分布,且相互独立。where α i , β i are the parameters of the Rice channel,
Figure BDA0002524401140000066
is the line-of-sight path component,
Figure BDA0002524401140000067
is the non-line-of-sight path component. The line-of-sight path component is represented by a channel of a uniform linear array, let a N (θ)=[1,e ,...,e j(N-1)θ ], then
Figure BDA0002524401140000068
Figure BDA0002524401140000069
Figure BDA00025244011400000610
Each element in is subject to a Gaussian distribution with mean 0 and variance 1, and is independent of each other.

以最大化遍历容量为目的,需要解决如下优化问题[1]:In order to maximize the traversal capacity, the following optimization problems need to be solved [1]:

Figure BDA00025244011400000611
Figure BDA00025244011400000611

Figure BDA00025244011400000612
Figure BDA00025244011400000612

||f||2=1||f|| 2 = 1

其中遍历容量

Figure BDA00025244011400000613
为which traverse capacity
Figure BDA00025244011400000613
for

Figure BDA00025244011400000614
Figure BDA00025244011400000614

于是问题[1]可以近似为如下问题[2]:So the problem [1] can be approximated as the following problem [2]:

Figure BDA0002524401140000071
Figure BDA0002524401140000071

Figure BDA0002524401140000072
Figure BDA0002524401140000072

||f||2=1||f|| 2 = 1

针对问题[2],首先For the problem [2], first

Figure BDA0002524401140000073
Figure BDA0002524401140000073

其中,x1是一个常数;对于i=2,3,4,5,E{xi}=0。又因为

Figure BDA0002524401140000074
Figure BDA0002524401140000075
中的元素期望均为0,并且相互独立,可以得出:where x 1 is a constant; E{x i }=0 for i=2, 3, 4, 5. also because
Figure BDA0002524401140000074
and
Figure BDA0002524401140000075
The elements in are expected to be 0 and independent of each other, we can get:

Figure BDA0002524401140000076
Figure BDA0002524401140000076

可以推得:It can be inferred:

Figure BDA0002524401140000077
Figure BDA0002524401140000077

Figure BDA0002524401140000078
Figure BDA0002524401140000078

Figure BDA0002524401140000079
Figure BDA0002524401140000079

Figure BDA00025244011400000710
Figure BDA00025244011400000710

将以上各项相加,得到:Adding the above, we get:

Figure BDA00025244011400000711
Figure BDA00025244011400000711

因此,现在问题[2]等价于下列问题[3]:Therefore, problem [2] is now equivalent to the following problem [3]:

Figure BDA00025244011400000712
Figure BDA00025244011400000712

Figure BDA00025244011400000713
Figure BDA00025244011400000713

||f||2=1||f|| 2 = 1

其中可以发现which can be found

Figure BDA0002524401140000081
Figure BDA0002524401140000081

Figure BDA0002524401140000082
Figure BDA0002524401140000082

因此,问题[3]等价于问题[4]:Therefore, problem [3] is equivalent to problem [4]:

Figure BDA0002524401140000083
Figure BDA0002524401140000083

Figure BDA0002524401140000084
Figure BDA0002524401140000084

||f||2=1||f|| 2 = 1

接下来用交替迭代法解决问题[4],即在迭代过程中交替优化Φ和f,直到收敛。Next, the problem is solved by the alternate iteration method [4], that is, Φ and f are optimized alternately in the iterative process until convergence.

Φ的优化:当f固定时,问题[4]变成了下列问题:Optimization of Φ: When f is fixed, the problem [4] becomes the following problem:

Figure BDA0002524401140000085
Figure BDA0002524401140000085

Figure BDA0002524401140000086
Figure BDA0002524401140000086

其中aMAoD,1)fH

Figure BDA0002524401140000087
是复常数,where a MAoD,1 )f H and
Figure BDA0002524401140000087
is a complex constant,

Figure BDA0002524401140000088
Figure BDA0002524401140000088

因此,z(Φ)是一个相位可调的复数,其模的最大值为Nα2α1。所以需要找到一个Φ使z(Φ)的模最大,同时让z(Φ)aMAoD,1)fH

Figure BDA0002524401140000091
有相同的相位:Therefore, z(Φ) is a phase-adjustable complex number whose modulus has a maximum value of Nα 2 α 1 . So it is necessary to find a Φ to maximize the modulus of z(Φ), and at the same time let z(Φ)a MAoD, 1 )f H and
Figure BDA0002524401140000091
have the same phase:

Figure BDA0002524401140000092
Figure BDA0002524401140000092

f的优化:当Φ固定时,问题[4]变成了如下问题:Optimization of f: When Φ is fixed, the problem [4] becomes the following problem:

Figure BDA0002524401140000093
Figure BDA0002524401140000093

st||f||2=1st||f|| 2 = 1

其等价于which is equivalent to

Figure BDA0002524401140000094
Figure BDA0002524401140000094

s.t.||f||2=1st||f|| 2 = 1

其中in

Figure BDA0002524401140000095
Figure BDA0002524401140000095

这个问题可以通过奇异值分解解决,H=UΣVH(∑中的奇异值按降序排列),然后可以得到This problem can be solved by singular value decomposition, H = UΣV H (singular values in Σ are in descending order), then one can get

fopt=V(:,1)H f opt = V(:, 1) H

其中V(:,1)表示矩阵V的第一列。where V(:, 1) represents the first column of matrix V.

Φ和f的联合优化:由于Φ和f的优化都是最佳的,总问题[3]可以通过交替迭代法解决,其具体步骤如下:Joint optimization of Φ and f: Since the optimization of Φ and f are both optimal, the general problem [3] can be solved by an alternate iteration method, and the specific steps are as follows:

Figure BDA0002524401140000101
Figure BDA0002524401140000101

下面通过仿真结果来证明本发明的基于智能反射面的无线通信系统设计方法的性能效果。实施例达到的技术效果为:The performance effect of the wireless communication system design method based on the smart reflective surface of the present invention is proved by the simulation results below. The technical effect achieved by the embodiment is:

图2为发明提出的交替迭代算法的收敛速度,仿真条件为:令

Figure BDA0002524401140000102
K1=K2=Kg=2,M=32,N=16,SNR=0dB,用10,000次蒙特卡洛结果进行统计平均。可以看出,算法在在5个迭代之内就能达到收敛,效率很高。Figure 2 shows the convergence speed of the alternate iterative algorithm proposed by the invention, and the simulation conditions are:
Figure BDA0002524401140000102
K 1 =K 2 =K g =2, M=32, N=16, SNR=0 dB, statistically averaged with 10,000 Monte Carlo results. It can be seen that the algorithm can achieve convergence within 5 iterations, and the efficiency is very high.

图3为交替迭代算法设计和随机设计的性能比较图,横坐标为智能反射面维度,纵坐标为达到的遍历容量。仿真条件为:令

Figure BDA0002524401140000103
K1=K2=Kg=2,M=64,SNR=0dB。可以看出,所提出的交替迭代设计方法具有很高的性能增益。Figure 3 is a performance comparison diagram between the alternate iterative algorithm design and the random design. The simulation conditions are:
Figure BDA0002524401140000103
K 1 =K 2 =K g =2, M=64, SNR=0dB. It can be seen that the proposed alternate iterative design method has a high performance gain.

该基于智能反射面的无线通信系统设计方法通过对基站的信号预编码和智能反射面的相位编码的联合设计,以最大遍历容量为目的来优化预编码向量和对角相移矩阵,以确定用户接收信号。这样能够大大改善了视距路径缺失或恶劣时无线通信系统的通信质量,并克服了传统中继能耗高的缺点。The smart reflector-based wireless communication system design method optimizes the precoding vector and the diagonal phase shift matrix for the purpose of maximizing the ergodic capacity through the joint design of the signal precoding of the base station and the phase coding of the smart reflector to determine the user receive signal. This can greatly improve the communication quality of the wireless communication system when the line-of-sight path is missing or poor, and overcome the disadvantage of high energy consumption of traditional relays.

以上所述的具体实施方式对本发明的技术方案和有益效果进行了详细说明,应理解的是以上所述仅为本发明的最优选实施例,并不用于限制本发明,凡在本发明的原则范围内所做的任何修改、补充和等同替换等,均应包含在本发明的保护范围之内。The above-mentioned specific embodiments describe in detail the technical solutions and beneficial effects of the present invention. It should be understood that the above-mentioned embodiments are only the most preferred embodiments of the present invention, and are not intended to limit the present invention. Any modifications, additions and equivalent substitutions made within the scope shall be included within the protection scope of the present invention.

Claims (8)

1.一种基于智能反射面的无线通信系统设计方法,包括无线通信系统包括基站、智能反射面和用户,其特征在于,所述无线通信系统设计方法包括以下步骤:1. a wireless communication system design method based on an intelligent reflection surface, comprising that the wireless communication system includes a base station, an intelligent reflection surface and a user, it is characterized in that, the wireless communication system design method comprises the following steps: 为所述基站配备M根天线,利用天线的信道状态信息对信号进行预编码后发射至用户;Equipping the base station with M antennas, using the channel state information of the antennas to precode the signal and then transmitting it to the user; 为所述智能反射面配备N个反射单元,利用反射单元的信道状态信息对来自基站的信号进行相位编码后反射至用户;The intelligent reflective surface is equipped with N reflective units, and the signal from the base station is phase-coded by using the channel state information of the reflective units and then reflected to the user; 联合设计基站的信号预编码和智能反射面的相位编码,设计方法为:Jointly design the signal precoding of the base station and the phase coding of the smart reflector. The design method is as follows: 基站发送信号s,用户接收信号r为:The base station sends the signal s, and the user receives the signal r as:
Figure FDA0002524401130000011
Figure FDA0002524401130000011
其中,P是信号s的发送功率;f∈C1×M为基站的预编码向量,满足||f||2=1;g∈C1×M为基站与用户之间的信道;H1∈CN×M为基站与智能反射面之间的信道;h2∈C1×N为智能反射面与用户之间的信道;
Figure FDA0002524401130000012
是智能反射面的对角相移矩阵,φn∈[0,2π)是第n个反射单元引入的相位偏移;
Figure FDA0002524401130000013
是复高斯噪声,σ为高斯噪声的方差;上标H代表共轭转置;H1,h2,g均为莱斯信道;
Among them, P is the transmit power of the signal s; f∈C 1×M is the precoding vector of the base station, satisfying ||f|| 2 =1; g∈C 1×M is the channel between the base station and the user; H 1 ∈C N×M is the channel between the base station and the smart reflector; h 2 ∈C 1×N is the channel between the smart reflector and the user;
Figure FDA0002524401130000012
is the diagonal phase shift matrix of the smart reflection surface, φ n ∈ [0,2π) is the phase shift introduced by the nth reflection unit;
Figure FDA0002524401130000013
is the complex Gaussian noise, σ is the variance of the Gaussian noise; the superscript H represents the conjugate transpose; H 1 , h 2 , and g are all Rice channels;
以最大遍历容量为目的,优化更新预编码向量f和对角相移矩阵Φ,以确定用户接收信号r。For the purpose of maximum ergodic capacity, the precoding vector f and the diagonal phase shift matrix Φ are optimized and updated to determine the user received signal r.
2.如权利要求1所述的基于智能反射面的无线通信系统设计方法,其特征在于,H1,h2,g满足:2. The method for designing a wireless communication system based on an intelligent reflecting surface as claimed in claim 1, wherein H 1 , h 2 , g satisfy:
Figure FDA0002524401130000021
Figure FDA0002524401130000021
Figure FDA0002524401130000022
Figure FDA0002524401130000022
Figure FDA0002524401130000023
Figure FDA0002524401130000023
其中,α11,α22,α33均为莱斯信道的参数,
Figure FDA0002524401130000024
为视距路径分量,
Figure FDA0002524401130000025
为非视距路径分量,视距路径分量用均匀线性阵列的信道表示,令aN(θ)=[1,e,…,ej(N -1)θ],aM(θ)=[1,e,…,ej(M-1)θ],N和M为自然数,则
Figure FDA0002524401130000026
Figure FDA0002524401130000027
θAoA,1表示智能反射面处天线的等效入射角,θAoD,1表示基站到智能反射面的等效发射角,θAoD,2表示智能反射面到用户的等效发射角,θAoD,3表示基站到用户的等效发射角,
Figure FDA0002524401130000028
中的每个元素均服从均值为0,方差为1的高斯分布,且相互独立。
Among them, α 1 , β 1 , α 2 , β 2 , α 3 , β 3 are all parameters of the Rice channel,
Figure FDA0002524401130000024
is the line-of-sight path component,
Figure FDA0002524401130000025
is the non-line-of-sight path component, the line-of-sight path component is represented by a channel of a uniform linear array, let a N (θ)=[1,e ,...,e j(N -1)θ ], a M (θ)= [1,e ,…,e j(M-1)θ ], N and M are natural numbers, then
Figure FDA0002524401130000026
Figure FDA0002524401130000027
θ AoA,1 represents the equivalent incident angle of the antenna at the smart reflector, θ AoD,1 represents the equivalent emission angle from the base station to the smart reflector, θ AoD,2 represents the equivalent emission angle from the smart reflector to the user, θ AoD , 3 represents the equivalent launch angle from the base station to the user,
Figure FDA0002524401130000028
Each element in is subject to a Gaussian distribution with mean 0 and variance 1, and is independent of each other.
3.如权利要求1所述的基于智能反射面的无线通信系统设计方法,其特征在于,以最大遍历容量为目的,需要解决如下优化问题[1]:3. The method for designing a wireless communication system based on an intelligent reflective surface as claimed in claim 1, characterized in that, for the purpose of maximum traversal capacity, the following optimization problem needs to be solved [1]:
Figure FDA0002524401130000029
Figure FDA0002524401130000029
Figure FDA00025244011300000210
Figure FDA00025244011300000210
||f||2=1||f|| 2 = 1 其中遍历容量
Figure FDA00025244011300000211
which traverse capacity
Figure FDA00025244011300000211
for
Figure FDA00025244011300000212
Figure FDA00025244011300000212
4.如权利要求3所述的基于智能反射面的无线通信系统设计方法,其特征在于,问题[1]可以近似为如下问题[2]:4. The method for designing a wireless communication system based on an intelligent reflective surface as claimed in claim 3, wherein the problem [1] can be approximated as the following problem [2]:
Figure FDA0002524401130000031
Figure FDA0002524401130000031
Figure FDA0002524401130000032
Figure FDA0002524401130000032
||f||2=1||f|| 2 = 1 针对问题[2],首先For the problem [2], first
Figure FDA0002524401130000033
Figure FDA0002524401130000033
其中,x1是一个常数;对于i=2,3,4,5,E{xi}=0,又因为
Figure FDA0002524401130000034
Figure FDA0002524401130000035
中的元素期望均为0,并且相互独立,可以得出:
where x 1 is a constant; for i=2, 3, 4, 5, E{x i }=0, and because
Figure FDA0002524401130000034
and
Figure FDA0002524401130000035
The elements in are expected to be 0 and independent of each other, we can get:
Figure FDA0002524401130000036
Figure FDA0002524401130000036
可以推得:It can be inferred:
Figure FDA0002524401130000037
Figure FDA0002524401130000037
Figure FDA0002524401130000038
Figure FDA0002524401130000038
Figure FDA0002524401130000039
Figure FDA0002524401130000039
Figure FDA00025244011300000310
Figure FDA00025244011300000310
将以上各项相加,得到:Adding the above, we get:
Figure FDA00025244011300000311
Figure FDA00025244011300000311
5.如权利要求4所述的基于智能反射面的无线通信系统设计方法,其特征在于,现在问题[2]等价于下列问题[3]:5. The method for designing a wireless communication system based on an intelligent reflective surface as claimed in claim 4, wherein the current problem [2] is equivalent to the following problem [3]:
Figure FDA00025244011300000312
Figure FDA00025244011300000312
Figure FDA00025244011300000313
Figure FDA00025244011300000313
||f||2=1||f|| 2 = 1 其中发现which found
Figure FDA0002524401130000041
Figure FDA0002524401130000041
Figure FDA0002524401130000042
Figure FDA0002524401130000042
6.如权利要求5所述的基于智能反射面的无线通信系统设计方法,其特征在于,问题[3]等价于问题[4]:6. The method for designing a wireless communication system based on an intelligent reflective surface as claimed in claim 5, wherein the problem [3] is equivalent to the problem [4]:
Figure FDA0002524401130000043
Figure FDA0002524401130000043
Figure FDA0002524401130000044
Figure FDA0002524401130000044
||f||2=1||f|| 2 = 1 接下来用交替迭代法解决问题[4],即在迭代过程中交替优化Φ和f,直到收敛。Next, the problem is solved by the alternate iteration method [4], that is, Φ and f are optimized alternately in the iterative process until convergence.
7.如权利要求6所述的基于智能反射面的无线通信系统设计方法,其特征在于,Φ的优化:当f固定时,问题[4]变成了下列问题:7. The method for designing a wireless communication system based on an intelligent reflective surface as claimed in claim 6, wherein the optimization of Φ: when f is fixed, the problem [4] becomes the following problem:
Figure FDA0002524401130000045
Figure FDA0002524401130000045
Figure FDA0002524401130000046
Figure FDA0002524401130000046
其中aMAoD,1)fH
Figure FDA0002524401130000047
是复常数,
where a MAoD,1 )f H and
Figure FDA0002524401130000047
is a complex constant,
Figure FDA0002524401130000051
Figure FDA0002524401130000051
因此,z(Φ)是一个相位可调的复数,其模的最大值为Nα2α1,所以需要找到一个Φ使z(Φ)的模最大,同时让z(Φ)aMAoD,1)fH
Figure FDA0002524401130000052
有相同的相位:
Therefore, z(Φ) is a complex number with adjustable phase, and the maximum value of its modulus is Nα 2 α 1 , so it is necessary to find a Φ to maximize the modulus of z(Φ), and at the same time let z(Φ)a MAoD ,1 )f H and
Figure FDA0002524401130000052
have the same phase:
Figure FDA0002524401130000053
Figure FDA0002524401130000053
f的优化:当Φ固定时,问题[4]变成了如下问题:Optimization of f: When Φ is fixed, the problem [4] becomes the following problem:
Figure FDA0002524401130000054
Figure FDA0002524401130000054
st||f||2=1st||f|| 2 = 1 其等价于which is equivalent to
Figure FDA0002524401130000055
Figure FDA0002524401130000055
s.t.||f||2=1st||f|| 2 = 1 其中in
Figure FDA0002524401130000056
Figure FDA0002524401130000056
这个问题可以通过奇异值分解解决,H=U∑VH(∑中的奇异值按降序排列),然后可以得到This problem can be solved by singular value decomposition, H = U∑V H (singular values in ∑ are in descending order), then one can get fopt=V(:,1)H f opt = V(:, 1) H 其中V(:,1)表示矩阵V的第一列。where V(:,1) represents the first column of matrix V.
8.如权利要求7所述的基于智能反射面的无线通信系统设计方法,其特征在于,Φ和f的联合优化的具体步骤如下:8. the wireless communication system design method based on intelligent reflecting surface as claimed in claim 7 is characterized in that, the concrete steps of the joint optimization of Φ and f are as follows:
Figure FDA0002524401130000061
Figure FDA0002524401130000061
V由矩阵H的奇异值分解H=U∑VH得到,其中V is obtained by the singular value decomposition of matrix H, H=U∑V H , where
Figure FDA0002524401130000062
Figure FDA0002524401130000062
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