CN113660051A - Energy efficiency maximization method and system of millimeter wave communication system - Google Patents
Energy efficiency maximization method and system of millimeter wave communication system Download PDFInfo
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Abstract
本发明中公开了一种毫米波通信系统的能效最大化方法和系统,该方法包括以下步骤:首先,在毫米波通信系统中设置多个智能反射面,构建多输入单输出的毫米波通信系统模型;其次,获取毫米波通信系统模型的多个模型参数,建立毫米波通信系统的能效最大化模型;然后,将毫米波通信系统的能效最大化模型解耦为相位优化、波束形成优化、智能反射面开关优化三个子问题;最后,对相位优化、波束形成优化、智能反射面开关优化三个子问题进行交替迭代求解,获取使得毫米波通信系统的能效最大化的收敛结果。上述方法有效地提高了系统的能效和通信质量以及改善了通信环境。
The invention discloses a method and system for maximizing energy efficiency of a millimeter-wave communication system. The method includes the following steps: first, a plurality of intelligent reflection surfaces are set in the millimeter-wave communication system, and a multi-input single-output millimeter-wave communication system is constructed. Second, obtain multiple model parameters of the millimeter-wave communication system model, and establish the energy efficiency maximization model of the millimeter-wave communication system; then, decouple the energy efficiency maximization model of the millimeter-wave communication system into phase optimization, beamforming optimization, intelligent Three sub-problems of reflector switch optimization; finally, the three sub-problems of phase optimization, beamforming optimization, and intelligent reflector switch optimization are solved alternately and iteratively to obtain the convergence results that maximize the energy efficiency of the millimeter-wave communication system. The above method effectively improves the energy efficiency and communication quality of the system and improves the communication environment.
Description
技术领域technical field
本发明涉及通信技术领域,特别是涉及一种毫米波通信系统的能效最大化方法和系统。The present invention relates to the field of communication technologies, and in particular, to a method and system for maximizing energy efficiency of a millimeter wave communication system.
背景技术Background technique
随着科技的发展和社会的进步,通信技术也在不断地发展,其中,新兴和未来的无线网络(第5代(5G)及以上)对数据速率的高要求已经引起了人们对其能源消耗的密切关注。5G通信网络的关键性能指标之一是高吞吐量,而毫米波通信作为一种新兴的通信技术,由于其满足巨大吞吐量要求,从而被越来越广泛的应用到通信系统中。With the development of science and technology and the advancement of society, communication technology is also constantly developing, among which, the high data rate requirements of emerging and future wireless networks (5th generation (5G) and above) have caused people's energy consumption close attention. One of the key performance indicators of 5G communication networks is high throughput. As an emerging communication technology, millimeter wave communication is more and more widely used in communication systems because it meets huge throughput requirements.
目前,毫米波通信系统中大多采用单个IRS(Intelligent reflecting surface,智能反射面)对毫米波通信系统的能效进行优化,在毫米波通信系统的阻塞效应中,智能反射面可以通过调整平面阵列相移来使用户的接收增益加强,使系统的整体能效提高,改善通信质量。此外,在毫米波通信系统中,毫米波信号进行传输时,当基站与用户间信号强度衰落过大,毫米波的阻塞效应使得整个毫米波通信系统的通信质量不高,进而造成通信效率较低的无线通信传输,且毫米波信号存在覆盖范围小、干扰严重以及网络建设成本较高等问题。At present, a single IRS (Intelligent Reflecting Surface) is mostly used in millimeter-wave communication systems to optimize the energy efficiency of the millimeter-wave communication system. In the blocking effect of the millimeter-wave communication system, the intelligent reflecting surface can adjust the phase shift of the planar array by adjusting the phase shift of the millimeter-wave communication system. To enhance the user's receiving gain, improve the overall energy efficiency of the system, and improve the communication quality. In addition, in the millimeter-wave communication system, when the millimeter-wave signal is transmitted, when the signal strength between the base station and the user is too large, the blocking effect of the millimeter-wave makes the communication quality of the entire millimeter-wave communication system low, resulting in low communication efficiency. However, the millimeter wave signal has problems such as small coverage, serious interference and high network construction cost.
因此,如何使得毫米波通信系统的能效最大化越来越成为亟待解决的技术问题。Therefore, how to maximize the energy efficiency of the millimeter wave communication system has become an urgent technical problem to be solved.
发明内容SUMMARY OF THE INVENTION
基于此,有必要针对毫米波通信系统的能效不高的问题,提供一种毫米波通信系统的能效最大化方法和系统。Based on this, it is necessary to provide a method and system for maximizing the energy efficiency of a millimeter-wave communication system for the problem of low energy efficiency of a millimeter-wave communication system.
一种毫米波通信系统的能效最大化方法,包括以下步骤:A method for maximizing energy efficiency of a millimeter wave communication system, comprising the following steps:
在毫米波通信系统中设置多个智能反射面,构建多输入单输出的毫米波通信系统模型;Set up multiple smart reflectors in the millimeter-wave communication system to build a multi-input single-output millimeter-wave communication system model;
获取毫米波通信系统模型的多个模型参数,建立毫米波通信系统的能效最大化模型;Obtain multiple model parameters of the millimeter-wave communication system model, and establish an energy efficiency maximization model of the millimeter-wave communication system;
将毫米波通信系统的能效最大化模型解耦为相位优化、波束形成优化、智能反射面开关优化三个子问题;The energy efficiency maximization model of millimeter wave communication system is decoupled into three sub-problems: phase optimization, beamforming optimization, and intelligent reflector switch optimization;
对所述相位优化、波束形成优化、智能反射面开关优化三个子问题进行交替迭代求解,获取使得所述毫米波通信系统的能效最大化的收敛结果。Alternately and iteratively solve the three sub-problems of phase optimization, beamforming optimization, and intelligent reflector switch optimization to obtain a convergence result that maximizes the energy efficiency of the millimeter-wave communication system.
在其中一个实施例中,所述毫米波通信系统模型还包括一个基站、多个智能反射面控制开关以及多个用户,其中,In one of the embodiments, the millimeter wave communication system model further includes a base station, a plurality of intelligent reflective surface control switches, and a plurality of users, wherein,
任意智能反射面控制开关闭合,所述基站能够通过智能反射面控制开关所控制的智能反射面将发送信号分别发送给多个用户中的每个用户。When any smart reflective surface control switch is closed, the base station can send the transmission signal to each of the multiple users respectively through the smart reflective surface controlled by the smart reflective surface control switch.
在其中一个实施例中,所述获取毫米波通信系统模型的多个模型参数,建立毫米波通信系统的能效最大化模型的步骤包括以下步骤:In one of the embodiments, the step of acquiring multiple model parameters of the millimeter-wave communication system model, and establishing an energy efficiency maximization model of the millimeter-wave communication system includes the following steps:
确定单个用户的信干噪比、多个用户的和速率以及毫米波通信系统的功耗。Determine the signal-to-interference-noise ratio of a single user, the sum rate of multiple users, and the power consumption of a mmWave communication system.
在其中一个实施例中,所述单个用户的信干噪比为:In one embodiment, the signal-to-interference-noise ratio of the single user is:
其中,nk加性高斯白噪声,nk~CN(0,σ2),智能反射面所施加的有效相移矩阵:θln∈[0,2π],xl为智能反射面开关矢量,当xl=0时,第l个智能反射面不参与信号传输;当xl=1时,表明第l个智能反射面处于工作状态,k表示多个用户中的第k个用户,l表示毫米波通信系统中多个智能反射面中的第l个智能反射面,Nl表示第l个智能反射面上反射元件的数量,ωk是第k个用户的波束形成矢量,M为基站的天线数量,Gl表示基站到第l个IRS的信道,hkl表示从第l个智能反射面到第k个用户的信道,其中,hkl H表示hkl的共轭转置矩阵。Among them, n k additive white Gaussian noise, n k ~CN(0,σ 2 ), the effective phase shift matrix applied by the smart reflector: θ ln ∈ [0,2π], x l is the switch vector of the smart reflective surface, when x l = 0, the l-th smart reflective surface does not participate in signal transmission; when x l = 1, it indicates that the l-th smart reflective surface In the working state, k represents the kth user among the multiple users, l represents the lth smart reflector among the multiple smart reflectors in the millimeter wave communication system, and N l represents the reflective element on the lth smart reflector. number, ω k is the beamforming vector of the k-th user, M is the number of antennas of the base station, G l represents the channel from the base station to the l-th IRS, h kl represents the channel from the l-th smart reflector to the k-th user ,in, h kl H represents the conjugate transpose matrix of h kl .
在其中一个实施例中,确定多个用户的和速率包括以下步骤:In one embodiment, determining the sum rate of multiple users includes the following steps:
基于单个用户的信干燥比,通过香农定理确定多个用户的和速率:Based on the signal-to-dry ratio of a single user, the sum rate of multiple users is determined by Shannon's theorem:
其中,B是毫米波通信系统中信道的带宽。Among them, B is the bandwidth of the channel in the millimeter wave communication system.
在其中一个实施例中,所述毫米波通信系统的功耗为:In one embodiment, the power consumption of the millimeter wave communication system is:
其中,ωk是第k个用户的波束形成矢量,μ是基站功率放大器的效率,PBS为基站硬件功耗,Pk为移动用户终端硬件功耗,PIRS为智能反射面的硬件消耗功率。where ω k is the beamforming vector of the kth user, μ is the efficiency of the base station power amplifier, P BS is the hardware power consumption of the base station, P k is the hardware power consumption of the mobile user terminal, and P IRS is the hardware power consumption of the intelligent reflector .
在其中一个实施例中,所述毫米波通信系统的能效最大化模型为:In one embodiment, the energy efficiency maximization model of the millimeter wave communication system is:
ωHω≤Pmax, (2.3)ω H ω≤P max , (2.3)
θln∈[0,2π], (2.4)θ ln ∈ [0,2π], (2.4)
xl∈{0,1}, (2.5)x l ∈ {0,1}, (2.5)
其中ω=[ω1,...,ωK]T,x=[x1,...,xL]T,Rk是第k个用户的最小速率,Pmax是基站处的最大发送功率。in ω=[ω 1 ,...,ω K ] T , x=[x 1 ,...,x L ] T , R k is the minimum rate of the kth user, P max is the maximum transmit power at the base station .
在其中一个实施例中,所述相位优化子问题为:In one embodiment, the phase optimization sub-problem is:
θln∈[0,2π], (3.4)θ ln ∈ [0,2π], (3.4)
其中,γ是引入的松弛矢量,γ=[γ1,...,γK]T,γk是γ中的元素;where γ is the relaxation vector introduced, γ=[γ 1 ,...,γ K ] T , and γ k is an element in γ;
所述波束形成优化子问题为:The beamforming optimization sub-problem is:
ωHω≤Pmax, (12.3)ω H ω≤P max , (12.3)
其中,ζ是引入的松弛变量,ζ=[ζ1,...,ζK]T,ζk为ζ中的元素, Among them, ζ is the slack variable introduced, ζ=[ζ 1 ,...,ζ K ] T , ζ k is the element in ζ,
所述智能反射面开关优化子问题为智能反射面开关向量x的非线性整数优化问题。The intelligent reflective surface switching optimization sub-problem is a nonlinear integer optimization problem of the intelligent reflective surface switching vector x.
在其中一个实施例中,所述对所述相位优化、波束形成优化、智能反射面开关优化三个子问题进行交替迭代求解,获取使得所述毫米波通信系统的能效最大化的收敛结果包括:In one embodiment, the alternate iterative solution of the three sub-problems of phase optimization, beamforming optimization, and smart reflector switch optimization, and obtaining a convergence result that maximizes the energy efficiency of the millimeter-wave communication system includes:
采用连续凸逼近和Dinkelbach方法求解波束形成优化子问题,求得最优的波束形成;Using continuous convex approximation and Dinkelbach method to solve the beamforming optimization sub-problem, the optimal beamforming is obtained;
采用半定松弛和连续凸逼近方法将相位优化子问题的非凸问题转化为凸问题求解相位优化子问题;The non-convex problem of the phase optimization sub-problem is transformed into a convex problem by semi-definite relaxation and continuous convex approximation method to solve the phase optimization sub-problem;
采用贪婪法求解智能反射面开关优化问题。The greedy method is used to solve the optimization problem of smart reflector switching.
一种毫米波通信系统的能效最大化系统,包括,An energy efficiency maximization system for a millimeter wave communication system, comprising,
构建模块,用于在毫米波通信系统中设置多个智能反射面,构建多输入单输出的毫米波通信系统模型;The building block is used to set up multiple smart reflectors in the millimeter-wave communication system, and build a multi-input single-output millimeter-wave communication system model;
建立模块,用于获取毫米波通信系统模型的多个模型参数,建立毫米波通信系统的能效最大化模型;A module is established to obtain multiple model parameters of the millimeter-wave communication system model, and to establish an energy efficiency maximization model of the millimeter-wave communication system;
解耦模块,用于将毫米波通信系统的能效最大化模型解耦为相位优化、波束形成优化、智能反射面开关优化三个子问题;The decoupling module is used to decouple the energy efficiency maximization model of the millimeter wave communication system into three sub-problems: phase optimization, beamforming optimization, and intelligent reflector switch optimization;
求解模块,用于对所述相位优化、波束形成优化、智能反射面开关优化三个子问题进行交替迭代求解,获取使得所述毫米波通信系统的能效最大化的收敛结果。The solving module is used to alternately and iteratively solve the three sub-problems of phase optimization, beamforming optimization, and intelligent reflector switch optimization, so as to obtain a convergence result that maximizes the energy efficiency of the millimeter wave communication system.
上述毫米波通信系统的能效最大化方法中采用多个智能反射面辅助,能够提供可靠的数据传输,因为不同的智能反射面可以在几何上分开部署,同时,多个智能反射面可以提供接收信号的多条路径,增加了用户接收信号的强度,此外,设置多个智能反射面能有效提高毫米波通信系统的保密性和能效,实现绿色通信。The energy efficiency maximization method of the above-mentioned millimeter-wave communication system uses multiple smart reflective surfaces to assist, which can provide reliable data transmission, because different smart reflective surfaces can be deployed geometrically separately, and at the same time, multiple smart reflective surfaces can provide receiving signals In addition, setting up multiple intelligent reflecting surfaces can effectively improve the confidentiality and energy efficiency of the millimeter wave communication system, and realize green communication.
进一步,将毫米波通信系统的能效最大化解耦为相位优化、波束形成优化、IRS开关优化三个子问题,通过交替迭代算法最后的收敛结果证明,从而该毫米波通信系统的能效最大化方法可以有效提高系统的能效、降低算法复杂度、减少迭代次数、改善通信环境,提高通信质量。Further, the energy efficiency maximization of the millimeter wave communication system is decoupled into three sub-problems: phase optimization, beamforming optimization, and IRS switch optimization. The final convergence result of the alternate iteration algorithm proves that the energy efficiency maximization method of the millimeter wave communication system can be It can effectively improve the energy efficiency of the system, reduce the complexity of the algorithm, reduce the number of iterations, improve the communication environment, and improve the communication quality.
附图说明Description of drawings
图1为毫米波通信系统的能效最大化方法流程图;Figure 1 is a flowchart of a method for maximizing energy efficiency of a millimeter-wave communication system;
图2为毫米波通信系统的结构图;Figure 2 is a structural diagram of a millimeter wave communication system;
图3为毫米波通信系统的能效最大化方法随着迭代次数增加时的收敛结果图;Fig. 3 is a graph showing the convergence result of the energy efficiency maximization method of the millimeter wave communication system as the number of iterations increases;
图4为毫米波通信系统的能效最大化系统的结构图。FIG. 4 is a structural diagram of an energy efficiency maximizing system of a millimeter wave communication system.
具体实施方式Detailed ways
为使本发明实施例的目的、技术方案和优点更加清楚,下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地说明,显然,所描述的实施例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。In order to make the purposes, technical solutions and advantages of the embodiments of the present invention clearer, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments These are some embodiments of the present invention, but not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
请参见图1,本发明实施例中介绍了一种毫米波通信系统的能效最大化方法,包括以下步骤:Referring to FIG. 1, an embodiment of the present invention introduces a method for maximizing energy efficiency of a millimeter wave communication system, including the following steps:
步骤S100,在毫米波通信系统中设置多个智能反射面,构建多输入单输出的毫米波通信系统模型。In step S100, a plurality of intelligent reflecting surfaces are set in the millimeter wave communication system, and a model of the millimeter wave communication system with multiple input and single output is constructed.
具体的,所述毫米波通信系统模型还包括一个基站、多个控制开关以及多个用户,任一控制开关闭合,所述基站能够通过该控制开关所控制的智能反射面将基站的发送信号分别发送给多个用户中的每个用户。请参见图2,所述毫米波通信系统模型中的多个智能反射面一共有L个,分别为IRS1-IRSL,基站则分别通过相应地控制开关控制相应地智能反射面。多个用户为共有K个,k则表示K个用户中的第k个用户,k属于整数,k>0。进一步具体的,所述基站为多天线,用户为单天线,采用下行链路进行数据传输。基站处的发送信号为:sk是归一化信息符号,sk属于s,s=[s1,...,sK],且表示发给第k个用户的信息。进一步满足,E(SSH)=IK表示s满足分布规律,E表示期望。ωk是第k个用户的波束形成矢量,其中,ωk为ω中的元素, 进一步,Gl表示基站到第l个IRS的信道,hkl表示从第l个IRS到第k个用户的信道,其中,第l个IRS上有Nl个反射元件(反射元件即图2中的反射阵源),进一步,所有IRS的反射元件个数是相等的,示例性的,l取值为1、2或10等整数时,N1、N2以及N10的取值相等,优选地,在仿真时,可设置Nl=256或64。本发明实施例中通过在毫米波通信系统中加入多个智能反射面(IRS)能够提供可靠的数据传输,因为系统中不同的智能反射面可以在几何上分开部署,同时,多个智能反射面可以提供接收信号的多条路径,增加了用户接收信号的强度,此外设置多个智能反射面能有效提高毫米波通信系统的保密性和能效,实现绿色通信。Specifically, the millimeter wave communication system model further includes a base station, multiple control switches, and multiple users. When any control switch is closed, the base station can separate the transmitted signals of the base station through the intelligent reflective surface controlled by the control switch. Sent to each of multiple users. Referring to FIG. 2 , there are a total of L multiple smart reflective surfaces in the millimeter wave communication system model, which are IRS1-IRSL, respectively, and the base station controls the corresponding smart reflective surfaces through corresponding control switches. There are K total of multiple users, k represents the kth user among the K users, k belongs to an integer, and k>0. More specifically, the base station is multi-antenna, the user is a single antenna, and the downlink is used for data transmission. The transmitted signal at the base station is: sk is the normalized information symbol, sk belongs to s, s=[s 1 ,...,s K ], and Indicates the information sent to the kth user. It is further satisfied that E( SSH )=I K means that s satisfies the distribution law, and E means expectation. ω k is the beamforming vector of the kth user, where ω k is an element in ω, Further, G1 represents the channel from the base station to the lth IRS, and h k1 represents the channel from the lth IRS to the kth user, wherein, There are N l reflective elements on the lth IRS (the reflective elements are the reflection array sources in FIG. 2 ). Further, the number of reflective elements of all IRSs is equal. For example, the value of l is 1, 2 or 10. When the integers are equal, the values of N 1 , N 2 and N 10 are equal. Preferably, during simulation, N l =256 or 64 can be set. In the embodiment of the present invention, reliable data transmission can be provided by adding multiple intelligent reflecting surfaces (IRS) to the millimeter wave communication system, because different intelligent reflecting surfaces in the system can be deployed geometrically separately, and at the same time, multiple intelligent reflecting surfaces It can provide multiple paths for receiving signals, which increases the strength of users' received signals. In addition, setting up multiple intelligent reflecting surfaces can effectively improve the confidentiality and energy efficiency of the millimeter-wave communication system, and realize green communication.
步骤S200,获取毫米波通信系统模型的多个模型参数,建立毫米波通信系统的能效最大化模型。其中,所述获取毫米波通信系统模型的多个模型参数,建立毫米波通信系统的能效最大化模型包括确定单个用户的信干噪比、多个用户的和速率以及毫米波通信系统的功耗。其中,In step S200, a plurality of model parameters of the millimeter wave communication system model are acquired, and an energy efficiency maximization model of the millimeter wave communication system is established. The acquiring multiple model parameters of the millimeter-wave communication system model and establishing the energy efficiency maximization model of the millimeter-wave communication system includes determining the signal-to-interference-noise ratio of a single user, the sum rate of multiple users, and the power consumption of the millimeter-wave communication system . in,
所述单个用户的信干噪比为:The signal-to-interference-noise ratio of the single user is:
其中,nk加性高斯白噪声,nk~CN(0,σ2)(nk服从高斯分布),IRS所施加的有效相移矩阵:θln∈[0,2π],θln为第l个IRS相移矩阵中第n个元素的相移角度,n∈[1,Nl]。xl为IRS开关矢量,当xl=0时,第l个智能反射面不参与信号传输;当xl=1时,表明第l个智能反射面处于工作状态,K表示多个用户的总数量,k表示多个用户K中的第k个用户,l表示毫米波通信系统中多个智能反射面中的第l个智能反射面,Nl表示第l个智能反射面上反射元件的数量,M为基站的天线数量,Gl表示基站到第l个IRS的信道,hkl表示从第l个IRS到第k个用户的信道,其中, hkl H表示hkl的共轭转置矩阵。Among them, n k additive white Gaussian noise, n k ~CN(0,σ 2 ) (n k obeys Gaussian distribution), the effective phase shift matrix applied by IRS: θ ln ∈ [0,2π], θ ln is the phase shift angle of the n-th element in the l-th IRS phase-shift matrix, n∈[1,N l ]. x l is the IRS switching vector, when x l = 0, the l-th smart reflective surface does not participate in signal transmission; when x l = 1, it indicates that the l-th smart reflective surface is in the working state, and K represents the total number of users Quantity, k represents the kth user among multiple users K, l represents the lth smart reflector among the multiple smart reflectors in the millimeter-wave communication system, N l represents the number of reflective elements on the lth smart reflector , M is the number of antennas of the base station, G l represents the channel from the base station to the lth IRS, h kl represents the channel from the lth IRS to the kth user, where, h kl H represents the conjugate transpose matrix of h kl .
本实施例中,基站的发送信号为单位发送信号。In this embodiment, the transmission signal of the base station is a unit transmission signal.
进一步,确定多个用户的和速率包括以下步骤:Further, determining the sum rate of multiple users includes the following steps:
在得出单个用户的信干噪比的基础上,通过香农定理确定多个用户的和速率:On the basis of obtaining the signal-to-interference-noise ratio of a single user, the sum rate of multiple users is determined by Shannon's theorem:
其中,B是毫米波通信系统中所有信道的带宽,即Gl和hkl的带宽,本发明实施例中,所述B选单位带宽,取值1,但不限于此,B取4等其他值,也适用于本发明实施例中。Among them, B is the bandwidth of all channels in the millimeter-wave communication system, that is, the bandwidths of G1 and h k1 . In the embodiment of the present invention, the B is selected as a unit bandwidth and takes a value of 1 , but is not limited to this, and B is taken as 4 and other other The value is also applicable in the embodiments of the present invention.
进一步,所述毫米波通信系统的功耗为:Further, the power consumption of the millimeter wave communication system is:
其中,ωk是第k个用户的波束形成矢量,是ωk的共轭转置矩阵,μ是基站功率放大器的效率,PBS为基站硬件功耗,Pk为移动用户终端硬件功耗,PIRS为智能反射面的硬件消耗功率。where ω k is the beamforming vector of the kth user, is the conjugate transpose matrix of ω k , μ is the efficiency of the base station power amplifier, P BS is the hardware power consumption of the base station, P k is the hardware power consumption of the mobile user terminal, and P IRS is the hardware power consumption of the intelligent reflector.
从而,基于单个用户的信干噪比、多个用户的和速率以及毫米波通信系统的功耗,得出所述毫米波通信系统的能效最大化模型为:Therefore, based on the signal-to-interference-noise ratio of a single user, the sum rate of multiple users, and the power consumption of the millimeter-wave communication system, the energy efficiency maximization model of the millimeter-wave communication system is obtained as:
ωHω≤Pmax, (2.3)ω H ω≤P max , (2.3)
θln∈[0,2π], (2.4)θ ln ∈[0,2π], (2.4)
xl∈{0,1}, (2.5)x l ∈{0,1}, (2.5)
其中,相移矢量波束形成矢量ω=[ω1,...,ωK],智能反射面开关矢量x=[x1,...,xL]T,其中,L指的是共有L个IRS,小写的l代表1~L中的某一个IRS,K代表的是有K个用户,Rk是第k个用户的最小速率,Pmax是基站处的最大发送功率。where the phase shift vector Beamforming vector ω=[ω 1 ,...,ω K ], intelligent reflective surface switch vector x=[x 1 ,...,x L ] T , where L refers to a total of L IRSs, in lowercase l represents an IRS from 1 to L, K represents that there are K users, R k is the minimum rate of the k-th user, and P max is the maximum transmit power at the base station.
步骤S300,将毫米波通信系统的能效最大化模型解耦为相位优化、波束形成优化、智能反射面开关优化三个子问题,具体的,基于给定波束形成矢量ω、智能反射面开关矢量x以及相移矢量θ中的两个,将毫米波通信系统的能效最大化模型分别解耦为相位优化、波束形成优化、智能反射面开关优化三个子问题。Step S300, the energy efficiency maximization model of the millimeter wave communication system is decoupled into three sub-problems: phase optimization, beamforming optimization, and intelligent reflector switch optimization. Specifically, based on a given beamforming vector ω, intelligent reflector switch vector x and Two of the phase shift vectors θ decouple the energy efficiency maximization model of the millimeter-wave communication system into three sub-problems: phase optimization, beamforming optimization, and smart reflector switch optimization.
进一步具体的,所述相位优化子问题具体为:给定波束形成矢量ω和IRS开关矢量x,系统的总功耗是固定的,能量效率最大化等价于和速率最大化,因此,给定(ω,x),将毫米波通信系统的能效最大化模型解耦为相位优化子问题(即和速率最大化问题):More specifically, the phase optimization sub-problem is specifically: given the beamforming vector ω and the IRS switching vector x, the total power consumption of the system is fixed, and maximizing the energy efficiency is equivalent to maximizing the sum rate. Therefore, given (ω,x), which decouples the energy efficiency maximization model of the mmWave communication system into a phase optimization sub-problem (that is, the sum rate maximization problem):
θln∈[0,2π], (3.4)θ ln ∈ [0,2π], (3.4)
其中,γ是引入的松弛矢量,γ=[γ1,...,γK]T,即γ是1-k个松弛变量构成的矩阵,γk是γ中的元素;Rk是第k个用户的最小速率,ωi为第k个用户通信时的干扰用户i的波束赋形矢量。Among them, γ is the relaxation vector introduced, γ=[γ 1 ,...,γ K ] T , that is, γ is a matrix composed of 1-k relaxation variables, γ k is an element in γ; R k is the kth The minimum rate of each user, ω i is the beamforming vector of the interfering user i when the kth user communicates.
给定相移矢量θ和IRS开关矢量x,所述波束形成优化子问题为:Given the phase shift vector θ and the IRS switch vector x, the beamforming optimization sub-problem is:
ωHω≤Pmax, (12.3)ω H ω≤P max , (12.3)
其中,ζ是引入的松弛变量,ζ=[ζ1,...,ζK]T,即ζ是1-k个松弛变量构成的矩阵,ζk为ζ中的元素, Among them, ζ is the introduced slack variable, ζ=[ζ 1 ,...,ζ K ] T , that is, ζ is a matrix composed of 1-k slack variables, ζ k is an element in ζ,
所述智能反射面开关优化子问题为智能反射面开关向量x的非线性整数优化问题。The intelligent reflective surface switching optimization sub-problem is a nonlinear integer optimization problem of the intelligent reflective surface switching vector x.
本实施例中,波束形成矢量ω即为基站端的波束形成,相移矢量θ即为所有智能反射面相移矢量。In this embodiment, the beamforming vector ω is the beamforming at the base station end, and the phase shift vector θ is the phase shift vector of all smart reflectors.
S400、所述对所述相位优化、波束形成优化、智能反射面开关优化三个子问题进行交替迭代求解,获取使得所述毫米波通信系统的能效最大化的收敛结果包括:采用连续凸逼近和Dinkelbach方法求解波束形成优化子问题,求得最优的波束形成,采用半定松弛和连续凸逼近方法将相位优化子问题的非凸问题转化为凸问题求解相位优化子问题以及采用贪婪法求解智能反射面开关优化问题。S400. Performing alternate iterative solutions on the three sub-problems of phase optimization, beamforming optimization, and intelligent reflector switch optimization, and obtaining a convergence result that maximizes the energy efficiency of the millimeter-wave communication system includes: using continuous convex approximation and Dinkelbach The method solves the beamforming optimization sub-problem and obtains the optimal beamforming. The non-convex problem of the phase optimization sub-problem is transformed into a convex problem by using the semi-definite relaxation and continuous convex approximation method to solve the phase optimization sub-problem, and the greedy method is used to solve the intelligent reflection. facet switch optimization problem.
本实施例中,采用半定松弛和连续凸逼近方法将相位优化子问题的非凸问题转化为凸问题求解相位优化子问题包括以下步骤:In this embodiment, the non-convex problem of the phase optimization sub-problem is transformed into a convex problem by using the semi-definite relaxation and continuous convex approximation methods. Solving the phase optimization sub-problem includes the following steps:
令其中,在的辅助下,令其中,因此约束(3.2)可以表示为:make Among them, in with the help of in, So constraint (3.2) can be expressed as:
其中tki=[tkl1,...,tklL]T。where t ki =[t kl1 ,...,t klL ] T .
基于约束(4),毫米波通信系统的能效最大化模型转化为相位优化子问题可以重新表述为:Based on constraint (4), the energy efficiency maximization model of mmWave communication system can be transformed into a phase optimization sub-problem and can be reformulated as:
为了处理非凸约束(5.2),利用罚函数法,相位优化子问题还可以重写为:To handle the non-convex constraint (5.2), using the penalty function method, the phase optimization subproblem can also be rewritten as:
其中,C是一个大的正常数,为了解决相位优化子问题中的非凸问题,使用SCA方法(连续凸逼近方法),(5.1)的目标函数可以近似为:Among them, C is a large positive constant. In order to solve the non-convex problem in the phase optimization sub-problem, using the SCA method (continuous convex approximation method), the objective function of (5.1) can be approximated as:
其中,第二部分是的一阶泰勒展开,上标(t-1)表示变量在第(t-1)次迭代时的值。为处理约束(4)的非凸性,引入松弛变量βk,约束(4)等价于:Among them, the second part is The first-order Taylor expansion of , where the superscript (t-1) represents the value of the variable at the (t-1)th iteration. To deal with the non-convexity of constraint (4), a slack variable β k is introduced, and constraint (4) is equivalent to:
和and
其中(9)是凸的,而仍需要处理(8)的非凸性函数,可以采用两个凸函数差值(DC)将约束(8)近似表示为:Where (9) is convex, and the non-convexity function of (8) still needs to be processed, the constraint (8) can be approximated by using the difference (DC) of two convex functions as:
其中,不等式左边是在φ=φ(t-1)的一阶泰勒展开。where the left-hand side of the inequality is First-order Taylor expansion at φ=φ (t-1) .
利用上述近似,(6.1)-(6.4)中的非凸问题可以表述为以下近似的凸问题:Using the above approximation, the nonconvex problem in (6.1)-(6.4) can be formulated as the following approximate convex problem:
s.t.βk≥0, (11.2) stβk ≥0, (11.2)
其中,同理,β=[β1,...,βK]T,βk该矩阵中的元素。Wherein, in the same way, β=[β 1 ,...,β K ] T , and β k is an element in the matrix.
最后,继续采用连续凸逼近方法对(11.1)-(11.5)进行求解,即在迭代过程中,求得的值使得能效问题收敛,能效值趋于不变。Finally, continue to use the continuous convex approximation method to solve (11.1)-(11.5), that is, in the iterative process, the obtained value makes the energy efficiency problem converge, and the energy efficiency value tends to remain unchanged.
本实施例中,所述半定松弛则为所有引入松弛变量的的方法。In this embodiment, the semidefinite relaxation refers to all methods for introducing relaxation variables.
本实施例中,采用连续凸逼近和Dinkelbach方法求解波束形成优化子问题,求得最优的波束形成包括以下步骤:In this embodiment, continuous convex approximation and Dinkelbach method are used to solve the beamforming optimization sub-problem, and obtaining the optimal beamforming includes the following steps:
引入一个松弛变量ρk>0,并且将约束(12.2)重新描述为:A slack variable ρ k > 0 is introduced, and constraint (12.2) is reformulated as:
假设任意波束形成矢量ω,使得任意都为实数,也就是 将用泰勒一阶级数表示为:Suppose an arbitrary beamforming vector ω such that any are real numbers, that is Will The Taylor first-order number is expressed as:
利用上述近似,(12.1))-(12.4)中的非凸问题可以表述为以下近似问题:Using the above approximation, the nonconvex problem in (12.1))-(12.4) can be formulated as the following approximation problem:
s.t.ρk≥0, (16.2)stρ k ≥0, (16.2)
ωHω≤Pmax, (16.5)ω H ω≤P max , (16.5)
最终,采用Dinkelbach(0-1二分规划更优解法)方法对(16.1)-(16.6)进行优化求解,求解得出最优的波束形成。Finally, the Dinkelbach (0-1 bipartite programming better solution method) method is used to optimize and solve (16.1)-(16.6), and the optimal beamforming is obtained.
本实施例中,采用贪婪法求解智能反射面开关优化问题。其中,本发明采用贪婪法求解IRS开关优化问题,具体操作可以为:每次关闭一个IRS,如果目标值被改善了,证明新解决方案是可行的。由于毫米波通信系统的能效最大化模型的目标值在每次迭代中都在增加,且目标值总是有一个有限的上界,因此该算法必须收敛。图3给出该算法随着迭代求解次数增加情况下的收敛性。In this embodiment, the greedy method is used to solve the optimization problem of the intelligent reflective surface switch. Among them, the present invention adopts the greedy method to solve the IRS switch optimization problem, and the specific operation can be as follows: one IRS is turned off each time, and if the target value is improved, it proves that the new solution is feasible. Since the target value of the energy-efficiency maximization model for mmWave communication systems increases in each iteration, and the target value always has a finite upper bound, the algorithm must converge. Figure 3 shows the convergence of the algorithm as the number of iterative solutions increases.
本实施例中,公式中的参数角码为H的表示参数自身的共轭转置矩阵。In this embodiment, the parameter angle code in the formula is the conjugate transpose matrix of H representing the parameter itself.
请参见图4,本发明实施例中还介绍了一种执行上述方法的毫米波通信系统的能效最大化系统,包括,构建模块、建立模块、解耦模块以及求解模块,其中,构建模块用于在毫米波通信系统中设置多个智能反射面,构建多输入单输出的毫米波通信系统模型;建立模块用于获取毫米波通信系统模型的多个模型参数,建立毫米波通信系统的能效最大化模型;解耦模块用于将毫米波通信系统的能效最大化模型解耦为相位优化、波束形成优化、智能反射面开关优化三个子问题;求解模块用于对所述相位优化、波束形成优化、智能反射面开关优化三个子问题进行交替迭代求解,获取使得所述毫米波通信系统的能效最大化的收敛结果。Referring to FIG. 4 , an energy efficiency maximization system for a millimeter wave communication system that executes the above method is also introduced in an embodiment of the present invention, including a building module, a building module, a decoupling module, and a solving module, wherein the building module is used for Set up multiple smart reflectors in the millimeter-wave communication system to build a multi-input single-output millimeter-wave communication system model; build a module to obtain multiple model parameters of the millimeter-wave communication system model to maximize the energy efficiency of the millimeter-wave communication system model; the decoupling module is used to decouple the energy efficiency maximization model of the millimeter wave communication system into three sub-problems: phase optimization, beamforming optimization, and intelligent reflector switch optimization; the solving module is used for the phase optimization, beamforming optimization, The three sub-problems of intelligent reflector switch optimization are solved alternately and iteratively to obtain a convergence result that maximizes the energy efficiency of the millimeter-wave communication system.
以上所述实施例仅表达了本发明的几种实施方式,其描述较为具体和详细,但并不能因此而理解为对本发明专利范围的限制。应当指出的是,对于本领域的普通技术人员来说,在不脱离本发明构思的前提下,还可以做出若干变形和改进,这些都属于本发明的保护范围。因此,本发明专利的保护范围应以所附权利要求为准。The above-mentioned embodiments only represent several embodiments of the present invention, and the descriptions thereof are specific and detailed, but should not be construed as limiting the scope of the patent of the present invention. It should be pointed out that for those skilled in the art, without departing from the concept of the present invention, several modifications and improvements can be made, which all belong to the protection scope of the present invention. Therefore, the protection scope of the patent of the present invention should be subject to the appended claims.
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