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CN117439638A - Low-complexity WSR optimization method, device and medium for non-ideal de-honeycomb large-scale MIMO system - Google Patents

Low-complexity WSR optimization method, device and medium for non-ideal de-honeycomb large-scale MIMO system Download PDF

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CN117439638A
CN117439638A CN202311600634.6A CN202311600634A CN117439638A CN 117439638 A CN117439638 A CN 117439638A CN 202311600634 A CN202311600634 A CN 202311600634A CN 117439638 A CN117439638 A CN 117439638A
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wsr
low
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coefficient
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钟康平
张尧
韩兵
陆洋
杨凯茜
叶思礼
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Zhejiang Normal University CJNU
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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
    • 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
    • H04B7/06Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station
    • H04B7/0613Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission
    • H04B7/0615Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal
    • H04B7/0619Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the transmitting station using simultaneous transmission of weighted versions of same signal using feedback from receiving side
    • H04B7/0621Feedback content
    • H04B7/0623Auxiliary parameters, e.g. power control [PCB] or not acknowledged commands [NACK], used as feedback information
    • 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
    • H04B7/08Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station
    • H04B7/0837Diversity systems; Multi-antenna system, i.e. transmission or reception using multiple antennas using two or more spaced independent antennas at the receiving station using pre-detection combining
    • H04B7/0842Weighted combining
    • H04B7/0848Joint weighting
    • H04B7/0854Joint weighting using error minimizing algorithms, e.g. minimum mean squared error [MMSE], "cross-correlation" or matrix inversion

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

Abstract

本发明公开了一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法、装置及介质,包括:步骤1、考虑低精度ADC量化失真,建立上行导频训练模型,推导出Ricean衰落模型下的MMSE信道估计表达式;步骤2、考虑低精度ADC和DAC量化失真,利用MRC接收机和UatF技术推导出UE速率闭式表达式;步骤3、建立有关功率控制系数的WSR优化问题,基于二次变换和拉格朗日对偶方法将原始优化问题转换成凸问题,设计可求解该凸问题的低复杂度方法;步骤4:根据功率系数动态调整UE发射功率,实现WSR优化目标。本发明设计的优化方法能够通过优化功率控制系数来补偿非理想硬件引起的WSR失真。且与现有WSR优化算法相比,本发明方法在实现同等WSR增益的前提下大幅降低了时间复杂度,运行速度快。

The invention discloses a non-ideal cellular massive MIMO system low-complexity WSR optimization method, device and medium, including: Step 1. Considering low-precision ADC quantization distortion, establish an uplink pilot training model, and derive the Ricean fading model The MMSE channel estimation expression of The secondary transformation and Lagrangian dual methods convert the original optimization problem into a convex problem, and design a low-complexity method that can solve the convex problem; Step 4: Dynamically adjust the UE transmit power according to the power coefficient to achieve the WSR optimization goal. The optimization method designed by the present invention can compensate for WSR distortion caused by non-ideal hardware by optimizing the power control coefficient. And compared with the existing WSR optimization algorithm, the method of the present invention greatly reduces the time complexity and has fast running speed on the premise of achieving the same WSR gain.

Description

一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法、装 置及介质A low-complexity WSR optimization method and device for non-ideal cellular massive MIMO systems Setup and media

技术领域Technical field

本发明涉及无线通信领域,具体涉及一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法、装置及介质。The invention relates to the field of wireless communications, and specifically relates to a low-complexity WSR optimization method, device and medium for a non-ideal cellular massive MIMO system.

背景技术Background technique

同基于蜂窝架构的大规模MIMO(Multiple-Input Multiple-Output)技术相比,去蜂窝大规模MIMO技术通过将基站天线单元分散部署并在相同的时频资源上同时服务于多个用户设备(User Equipment,UE),消除了小区间干扰并降低了接入点(Access Point,AP)与UE之间的路径损耗,大幅提升了小区边缘UE的速率性能。鉴于其具有高速率、高宏增益和均匀的覆盖质量等优势,去蜂窝大规模MIMO已被视为未来6G通信系统中一项关键物理层传输技术。Compared with massive MIMO (Multiple-Input Multiple-Output) technology based on cellular architecture, decellularized massive MIMO technology distributes base station antenna units and serves multiple user equipment (User) simultaneously on the same time-frequency resources. Equipment, UE), eliminates inter-cell interference and reduces the path loss between the Access Point (AP) and the UE, greatly improving the rate performance of the cell edge UE. In view of its advantages such as high speed, high macro gain and uniform coverage quality, decellularized massive MIMO has been regarded as a key physical layer transmission technology in future 6G communication systems.

为了满足数量众多UE的高流量需求,去蜂窝大规模MIMO系统需部署越来越多的AP,这使得部署成本和硬件功耗急剧增大。为了解决上述问题,可在去蜂窝大规模MIMO系统中采用非理想硬件,如低精度模数转换器(Analog-to-Digital Converter,ADC)和数模转换器(Digital-to-Analog Converter,DAC),但这会引入量化噪声,降低了UE速率性能。为了补偿低精度组件引起的性能损失并提升系统性能,可设计有效的功率控制算法,如加权和速率(Weighted Sum Rate,WSR)优化算法。虽然已有文献设计了WSR优化算法,但这些文献都采用连续凸逼近(Successive Convex Approximation,SCA)方法,即将原始优化问题改写成特定的凸规划问题,再利用内点法进行该凸规划问题。虽然此类方法较好地提升了系统WSR,但其计算复杂度高,运行速度慢,不适宜在大规模去蜂窝大规模MIMO系统中采用。In order to meet the high traffic demand of a large number of UEs, decellularized massive MIMO systems need to deploy more and more APs, which causes the deployment cost and hardware power consumption to increase dramatically. In order to solve the above problems, non-ideal hardware can be used in decellularized massive MIMO systems, such as low-precision Analog-to-Digital Converter (ADC) and Digital-to-Analog Converter (DAC). ), but this will introduce quantization noise and reduce UE rate performance. In order to compensate for the performance loss caused by low-precision components and improve system performance, effective power control algorithms can be designed, such as the Weighted Sum Rate (WSR) optimization algorithm. Although there are existing literatures that have designed WSR optimization algorithms, these literatures all use the Successive Convex Approximation (SCA) method, which rewrites the original optimization problem into a specific convex programming problem, and then uses the interior point method to solve the convex programming problem. Although this type of method can improve the system WSR, its computational complexity is high and its running speed is slow, making it unsuitable for use in large-scale decellularized massive MIMO systems.

因此,亟需设计一种低复杂度且运行速率快的WSR优化方法,以期补偿低精度硬件引起的速率损失并提升系统速率性能。Therefore, there is an urgent need to design a low-complexity and fast-running WSR optimization method in order to compensate for the rate loss caused by low-precision hardware and improve system rate performance.

发明内容Contents of the invention

本发明的目的在于克服现有技术中的不足,提供一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法、装置及介质,该方法较好地补偿了非理想硬件引起的速率损失,显著提升了非理想去蜂窝大规模MIMO系统WSR性能。The purpose of the present invention is to overcome the deficiencies in the existing technology and provide a low-complexity WSR optimization method, device and medium for non-ideal cellular massive MIMO systems. This method can better compensate for the rate loss caused by non-ideal hardware. Significantly improves the WSR performance of non-ideal cellular massive MIMO systems.

为达到上述目的,本发明是采用下述技术方案实现的:In order to achieve the above objects, the present invention is achieved by adopting the following technical solutions:

第一方面,本发明提供了一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法,包括以下步骤:In the first aspect, the present invention provides a low-complexity WSR optimization method for non-ideal cellular massive MIMO systems, which includes the following steps:

步骤1、考虑低精度ADC量化失真,建立上行导频训练模型,得到Ricean衰落模型下的MMSE信道估计表达式;Step 1. Considering the low-precision ADC quantization distortion, establish an uplink pilot training model and obtain the MMSE channel estimation expression under the Ricean fading model;

步骤2、考虑低精度ADC和DAC量化失真,利用MRC接收机和UatF技术得到UE速率闭式表达式;Step 2. Considering the low-precision ADC and DAC quantization distortion, use the MRC receiver and UatF technology to obtain the closed expression of the UE rate;

步骤3、基于所述MMSE信道估计表达式和UE速率闭式表达式,建立有关功率控制系数的WSR优化问题,基于二次变换和拉格朗日对偶方法,将原始优化问题转换成凸问题,设计可闭式求解该凸问题的低复杂度方法,得到功率系数;Step 3. Based on the MMSE channel estimation expression and the UE rate closed expression, establish a WSR optimization problem related to the power control coefficient, and convert the original optimization problem into a convex problem based on the quadratic transformation and Lagrange duality method. Design a low-complexity method that can solve the convex problem in a closed form and obtain the power coefficient;

步骤4:根据功率系数动态调整UE发射功率,实现WSR优化目标。Step 4: Dynamically adjust the UE transmit power according to the power coefficient to achieve the WSR optimization goal.

进一步地,步骤1包括:Further, step 1 includes:

在中央处理器(Central Processing Unit,CPU)为UE分配导频信号后,假设所有UE同时向AP发射导频信号。APm收到的导频信号经低分辨率ADC量化后,可建模为After the Central Processing Unit (CPU) allocates pilot signals to UEs, it is assumed that all UEs transmit pilot signals to the AP at the same time. After the pilot signal received by AP m is quantized by low-resolution ADC, it can be modeled as

其中,m=1,2,...,M,M为AP的总数,k=1,2,...,K,K为UE的总数,为由UE下标构成的集合,τ为导频长度,ρp为UEk的导频发射功率,gmk为APm和第k个UE,即UEk之间的Ricean衰落信道矢量,/>表示导频信号,上标H表示共轭转置,/>为高斯白噪声矩阵,N为AP的天线数,/>为复数域,αm表示衡量ADC失真程度的失真因子,Ym,p表示未量化前的导频信号,/>为量化噪声信号。Among them, m = 1, 2, ..., M, M is the total number of APs, k = 1, 2, ..., K, K is the total number of UEs, is a set composed of UE subscripts, τ is the pilot length, ρ p is the pilot transmission power of UE k , g mk is the Ricean fading channel vector between AP m and the k-th UE, that is, the Ricean fading channel vector between UE k , /> represents the pilot signal, the superscript H represents the conjugate transpose,/> is the Gaussian white noise matrix, N is the number of antennas of the AP,/> It is a complex domain, α m represents the distortion factor that measures the degree of ADC distortion, Y m, p represents the pilot signal before quantization, /> is the quantization noise signal.

基于并利用MMSE估计技术,信道gmk的MMSE估计为:based on And using MMSE estimation technology, the MMSE estimate of channel g mk is:

其中,表示与UEk使用相同导频的所有UE的下标集合,j为不同于k的其他UE下标,βmk为APm和UEk之间的等效大尺度衰落系数,βmj为APm和UEj之间的等效大尺度衰落系数,σ2为噪声功率。in, Represents the subscript set of all UEs using the same pilot as UE k , j is the subscript of other UEs different from k, β mk is the equivalent large-scale fading coefficient between AP m and UE k , β mj is AP m The equivalent large-scale fading coefficient between UE j and UE j , σ 2 is the noise power.

进一步地,步骤2包括:Further, step 2 includes:

考虑低精度ADC和DAC量化失真,基于MRC接收机建立上行数据传输模型,CPU接收到的数据信号可建模为Considering the quantization distortion of low-precision ADC and DAC, an uplink data transmission model is established based on the MRC receiver. The data signal received by the CPU can be modeled as

其中,λm表示衡量DAC失真程度的失真因子,为APm处的DAC量化噪声,ρu为UE的数据发射功率,ηj表示UEj的功率控制系数,qj表示UEj的数据信号,nm为APm处的高斯白噪声,则表示APm处的ADC量化噪声。对上式采用UatF技术,可推导出UEk的速率下界闭式表达式为/>其中Among them, λ m represents the distortion factor that measures the degree of DAC distortion, is the DAC quantization noise at AP m , ρ u is the data transmission power of UE, η j represents the power control coefficient of UE j , q j represents the data signal of UE j , n m is the Gaussian white noise at AP m , Then represents the ADC quantization noise at AP m . Using UatF technology for the above equation, it can be deduced that the closed-form expression of the rate lower bound of UE k is/> in

在上式中,Kmk和Kmj表示莱斯K因子,γmk和γmj表示信道估计质量因子,θmk表示UEk和APm之间的到达入射角,θmj为UEj和APm之间的到达入射角。In the above formula, K mk and K mj represent the Rice K factor, γ mk and γ mj represent the channel estimation quality factor, θ mk represents the arrival incident angle between UE k and AP m , θ mj is UE j and AP m angle of arrival.

进一步地,步骤3包括:Further, step 3 includes:

以最大化WSR为目标,且以UE的功率控制系数为自变量的优化问题建模为The optimization problem with maximizing WSR as the goal and using the power control coefficient of the UE as the independent variable is modeled as

其中,wk表示UEk的速率权重,表示上行WSR。约束1规定了UE的实际发射功率应大于等于0且不能超过其最大发射功率。Among them, w k represents the rate weight of UE k , Indicates the upstream WSR. Constraint 1 stipulates that the actual transmit power of the UE should be greater than or equal to 0 and cannot exceed its maximum transmit power.

针对优化问题对其采用拉格朗日对偶变换技术,/>可等价转换为For optimization problems The Lagrangian dual transformation technique is used for it,/> Can be equivalently converted to

其中,ξk表示新增的辅助变量。对/(ηk,ξk)求关于ξk的一阶偏导数并令其为0,可得ξk将/>后,优化问题/>等价于Among them, ξ k represents the newly added auxiliary variable. For /(η k , ξ k ), find the first-order partial derivative with respect to ξ k and let it be 0, we can get ξ k as Will/> After that, the optimization problem/> Equivalent to

对优化问题进行二次变换,其等价于for optimization problems Perform a second transformation, which is equivalent to

其中,δk表示新增的辅助变量。对g(ηk,δk)求关于δk的一阶偏导数并令其为0,可得δkAmong them, δ k represents the newly added auxiliary variable. Find the first-order partial derivative of g(η k , δ k ) with respect to δ k and let it be 0, we can get δ k as

其中,将/>代入优化问题/>求解/>关于ηk的一阶偏导数并令其为0,可得功率控制系数为in, Will/> Substitute optimization problem/> Solve/> Regarding the first-order partial derivative of eta k and letting it be 0, the power control coefficient can be obtained as

基于上述更新函数,通过若干次迭代即可求得功率控制系数的最优值 Based on the above update function, the optimal value of the power control coefficient can be obtained through several iterations.

具体地,所提WSR优化算法的详细步骤为:Specifically, the detailed steps of the proposed WSR optimization algorithm are:

Step1:初始化迭代次数i←0,定义容忍误差ε>0,设定初始可行解为计算初始WSR,记作/> Step1: Initialize the number of iterations i←0, define the tolerance error ε>0, and set the initial feasible solution as Calculate the initial WSR, denoted as/>

Step2:更新为/> Step2: Update for/>

Step3:更新为/> Step3: Update for/>

Step4:更新为/> Step4: Update for/>

StepS:基于更新/> StepS: Based on Update/>

Step6:判断是否成立;Step6: Judgment whether it is established;

Step7:若不成立,令i←i+1,重复步骤Step2-Step5;Step7: If it is not established, let i←i+1 and repeat steps Step2-Step5;

Step8:若成立,令则/>即为原始WSR优化问题/>的一个次优解。Step8: If established, let then/> That is the original WSR optimization problem/> a suboptimal solution.

第二方面,本发明提供一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化装置,所述装置包括:In a second aspect, the present invention provides a low-complexity WSR optimization device for non-ideal cellular massive MIMO systems. The device includes:

信道估计模块:用于考虑低精度ADC量化失真,建立上行导频训练模型,得到Ricean衰落模型下的MMSE信道估计表达式;Channel estimation module: used to consider low-precision ADC quantization distortion, establish an uplink pilot training model, and obtain the MMSE channel estimation expression under the Ricean fading model;

UE速率模块:用于考虑低精度ADC和DAC量化失真,利用MRC接收机和UatF技术得到UE速率闭式表达式;UE rate module: used to consider low-precision ADC and DAC quantization distortion, and use MRC receiver and UatF technology to obtain the closed expression of UE rate;

求解模块:用于基于所述MMSE信道估计表达式和UE速率闭式表达式,建立有关功率控制系数的WSR优化问题,基于二次变换和拉格朗日对偶方法,将原始优化问题转换成凸问题,设计可闭式求解该凸问题的低复杂度方法,得到功率系数;Solving module: used to establish a WSR optimization problem related to the power control coefficient based on the MMSE channel estimation expression and the UE rate closed expression, and convert the original optimization problem into a convex one based on the quadratic transformation and Lagrange duality method. problem, design a low-complexity method that can solve the convex problem in a closed form, and obtain the power coefficient;

调整模块:用于根据功率系数动态调整UE发射功率,实现WSR优化目标。Adjustment module: used to dynamically adjust the UE transmit power according to the power coefficient to achieve WSR optimization goals.

第三方面,本发明提供一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化装置,包括处理器及存储介质;In a third aspect, the present invention provides a low-complexity WSR optimization device for non-ideal cellular massive MIMO systems, including a processor and a storage medium;

所述存储介质用于存储指令;The storage medium is used to store instructions;

所述处理器用于根据所述指令进行操作以执行根据第一方面所述方法的步骤。The processor is configured to operate according to the instructions to perform the steps of the method according to the first aspect.

第四方面,本发明提供一种计算机可读存储介质,其上存储有计算机程序,该程序被处理器执行时实现第一方面所述方法的步骤。In a fourth aspect, the present invention provides a computer-readable storage medium on which a computer program is stored. When the program is executed by a processor, the steps of the method described in the first aspect are implemented.

与现有技术相比,本发明所达到的有益效果:Compared with the prior art, the beneficial effects achieved by the present invention are:

本发明研究了低精度ADC和DAC对Ricean衰落信道下去蜂窝大规模MIMO系统WSR性能的影响,利用AQNM和MRC接收机推导出MMSE信道估计和基于UatF的速率闭式表达式;接着,考虑UE发射功率约束,设计WSR优化方案,通过优化UE发射功率系数来补偿低精度组件引起的WSR性能损失。This invention studies the impact of low-precision ADC and DAC on the WSR performance of cellular massive MIMO system under Ricean fading channel, and uses AQNM and MRC receivers to derive MMSE channel estimation and rate closed-form expression based on UatF; then, considering UE transmission For power constraints, design a WSR optimization scheme to compensate for the WSR performance loss caused by low-precision components by optimizing the UE transmit power coefficient.

此外,与现有的WSR优化方法相比,本发明设计的WSR优化方法可以基于闭式表达式迭代更新功率系数,在实现同等WSR增益的前提下大幅降低了时间复杂度,运算速度快,因此具有广泛的使用价值及应用前景。In addition, compared with the existing WSR optimization method, the WSR optimization method designed by the present invention can iteratively update the power coefficient based on a closed expression, greatly reducing the time complexity while achieving the same WSR gain, and the operation speed is fast, so It has extensive use value and application prospects.

附图说明Description of the drawings

图1是本发明实施例所述的WSR优化方法流程图;Figure 1 is a flow chart of the WSR optimization method according to the embodiment of the present invention;

图2为本发明实施例所述的系统WSR和ADC/DAC精度之间的关系图;Figure 2 is a relationship diagram between system WSR and ADC/DAC accuracy according to the embodiment of the present invention;

图3为本发明实施例所述的WSR优化方法与现有WSR优化方法在运行时间上的比较图。Figure 3 is a comparison diagram of the running time between the WSR optimization method described in the embodiment of the present invention and the existing WSR optimization method.

具体实施方式Detailed ways

下面结合附图对本发明作进一步描述。以下实施例仅用于更加清楚地说明本发明的技术方案,而不能以此来限制本发明的保护范围。The present invention will be further described below in conjunction with the accompanying drawings. The following examples are only used to more clearly illustrate the technical solutions of the present invention, but cannot be used to limit the scope of the present invention.

实施例一:Example 1:

本实施例提出了一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法,所设计的WSR优化方法具有低复杂度的优点,且可以动态地调整每个UE的实际发射功率,从而达到补偿低精度组件引起的WSR性能失真和优化WSR的目的。This embodiment proposes a low-complexity WSR optimization method for non-ideal cellular massive MIMO systems. The designed WSR optimization method has the advantage of low complexity and can dynamically adjust the actual transmit power of each UE, thereby achieving The purpose of compensating WSR performance distortion caused by low-precision components and optimizing WSR.

本方法包括:This method includes:

步骤1、考虑低精度ADC量化失真,建立上行导频训练模型,推导出Ricean衰落模型下的MMSE信道估计表达式Step 1. Considering the low-precision ADC quantization distortion, establish an uplink pilot training model and derive the MMSE channel estimation expression under the Ricean fading model.

在以视距(Line of Sight,LoS)传播为主导的Ricean衰落信道模型下,基于加性量化噪声模型(Additive Quantization Noise Model,AQNM)建立上行导频训练模型,AP根据接收到的导频信号并采用MMSE估计方法推导出包含量化噪声的信道估计。Under the Ricean fading channel model dominated by Line of Sight (LoS) propagation, an uplink pilot training model is established based on the Additive Quantization Noise Model (AQNM). The AP And the MMSE estimation method is used to derive the channel estimate including quantization noise.

系统里面包括了AP,用户和CPU,所有的优化都是在CPU端计算的。CPU计算出这个功率系数后,转发给UE,UE动态调整其发射功率。The system includes AP, users and CPU, and all optimizations are calculated on the CPU side. After the CPU calculates the power coefficient, it forwards it to the UE, and the UE dynamically adjusts its transmit power.

本发明研究上行去蜂窝规模MIMO系统,该系统包括M个AP,K个UE和1个CPU,每个AP配备N根天线,每个UE配备单根天线。基于Ricean衰落信道对AP和UE之间的无线信道建模,因此,APm和UEk之间的N×1维信道矢量可表示为The present invention studies an uplink cellular-scale MIMO system. The system includes M APs, K UEs and 1 CPU. Each AP is equipped with N antennas, and each UE is equipped with a single antenna. The wireless channel between AP and UE is modeled based on Ricean fading channel. Therefore, the N×1-dimensional channel vector between AP m and UE k can be expressed as

其中,ξmk表示APm和UEk之间的大尺度衰落系数,为LoS分量,/>为non-LoS分量,Kmk为莱斯K因子。在导频训练之前,CPU采用特定的导频分配方案为/>分配导频序列/>其中/>表示复数域,τ为导频长度。假设K个UE同时以最大传输功率ρp向AP发射导频信号,APm接收到的导频矢量经低精度ADC量化可表述为Among them, ξ mk represents the large-scale fading coefficient between AP m and UE k , is the LoS component,/> is the non-LoS component, and K mk is the Rice K factor. Before pilot training, the CPU uses a specific pilot allocation scheme as/> Assign pilot sequence/> Among them/> Represents the complex domain, τ is the pilot length. Assuming that K UEs simultaneously transmit pilot signals to the AP with maximum transmission power ρ p , the pilot vector received by AP m can be expressed as

其中,m=1,2,...,M,k=1,2,...,K,κ={1,2,...,K}为由UE下标构成的集合,上标H表示共轭转置,为高斯白噪声矩阵,αm表示衡量ADC失真程度的失真因子,Ym,p表示未量化前的导频信号,/>为量化噪声信号。基于/>并利用MMSE估计技术,信道gmk的MMSE估计为Among them, m = 1, 2, ..., M, k = 1, 2, ..., K, κ = {1, 2, ..., K} is a set composed of UE subscripts and superscripts H represents conjugate transpose, is a Gaussian white noise matrix, α m represents the distortion factor that measures the degree of ADC distortion, Y m, p represents the pilot signal before quantization, /> is the quantization noise signal. Based on/> And using MMSE estimation technology, the MMSE of channel g mk is estimated as

其中,表示与UEk使用相同导频的所有UE的下标集合,j为不同于k的其他UE下标,βmk为APm和UEk之间的大尺度衰落系数,βmj为APm和UEj之间的大尺度衰落系数,σ2为噪声功率。in, Represents the subscript set of all UEs using the same pilot as UE k , j is the subscript of other UEs different from k, β mk is the large-scale fading coefficient between AP m and UE k , β mj is AP m and UE The large-scale fading coefficient between j , σ 2 is the noise power.

步骤2、考虑低精度ADC和DAC量化失真,基于MRC接收机建立上行数据传输模型,利用UatF技术推导出UE速率闭式表达式Step 2. Considering the quantization distortion of low-precision ADC and DAC, establish an uplink data transmission model based on the MRC receiver, and use UatF technology to derive the closed expression of the UE rate.

基于AQNM对低分辨率ADC和DAC失真建模,建立AP端接收到的数据信号表达式。AP端根据估计出的上行链路CSI(Channel State Information)构建MRC接收机进行信号检测,采用UatF技术推导出UE速率闭式表达式。Based on AQNM, low-resolution ADC and DAC distortions are modeled, and the expression of the data signal received by the AP is established. The AP builds an MRC receiver based on the estimated uplink CSI (Channel State Information) for signal detection, and uses UatF technology to derive a closed expression of the UE rate.

令qk表示UEk的数据信号,当所有UE同时向AP发射数据信号时,APm接收到的数据信号经低精度ADC量化可表述为Let q k represent the data signal of UE k . When all UEs transmit data signals to the AP at the same time, the data signal received by AP m can be expressed as

其中,ρu为UE的数据发射功率,ηk表示UEk的功率控制系数,nm为APm处的高斯白噪声,则表示APm处的ADC量化噪声。为了检测信号qk,假定采用MRC接收机方案。APm基于/>对/>解扩,并将解扩后的信号经低精度DAC量化后转发至CPU。CPU接收到的数据信号可建模为Among them, ρ u is the data transmission power of UE, eta k represents the power control coefficient of UE k , n m is the Gaussian white noise at AP m , Then represents the ADC quantization noise at AP m . To detect the signal q k , an MRC receiver scheme is assumed. AP m based on/> Right/> Despread, and the despread signal is quantized by a low-precision DAC and forwarded to the CPU. The data signal received by the CPU can be modeled as

其中,λm表示衡量DAC失真程度的失真因子,为APm处的DAC量化噪声。对上式采用UatF技术,可推导出UEk的速率下界闭式表达式为/>其中Among them, λ m represents the distortion factor that measures the degree of DAC distortion, is the DAC quantization noise at AP m . Using UatF technology for the above equation, it can be deduced that the closed-form expression of the rate lower bound of UE k is/> in

在上式中,Kmk和Kmj表示莱斯K因子,γmk和γmj表示信道估计质量因子,θmk表示UEk和APm之间的到达入射角,θmj为UEj和APm之间的到达入射角。 In the above formula, K mk and K mj represent the Rice K factor, γ mk and γ mj represent the channel estimation quality factor, θ mk represents the arrival incident angle between UE k and AP m , θ mj is UE j and AP m angle of arrival.

步骤3、建立有关功率控制系数的WSR最优化问题,基于二次变换和拉格朗日对偶方法,将原始优化问题转换成凸问题,设计可闭式求解最优功率控制系数的低复杂度WSR优化方法Step 3. Establish a WSR optimization problem related to the power control coefficient. Based on the quadratic transformation and Lagrangian duality method, convert the original optimization problem into a convex problem, and design a low-complexity WSR that can solve the optimal power control coefficient in a closed form. Optimization

以UE的发射功率限制为约束条件,引入速率加权因子,建立有关UE功率控制系数的WSR最优化问题并求解该问题。分别利用拉格朗日对偶变换和二次变换将原始优化问题等价转换成凸问题,在此基础上基于闭式表达式迭代更新最优功率控制系数,最终达到优化WSR的目的。Taking the UE's transmit power limit as a constraint, a rate weighting factor is introduced, a WSR optimization problem related to the UE power control coefficient is established and the problem is solved. The original optimization problem is equivalently converted into a convex problem using Lagrangian dual transformation and quadratic transformation respectively. On this basis, the optimal power control coefficient is iteratively updated based on the closed-form expression, and finally the purpose of optimizing WSR is achieved.

考虑UE发射功率约束,以最大化WSR为目标且以UE的功率控制系数为自变量的优化问题建模为Considering the UE transmit power constraint, the optimization problem with maximizing WSR as the goal and the UE power control coefficient as the independent variable is modeled as

其中,wk表示UEk的速率权重,表示上行WSR。约束1规定了UE的实际发射功率应大于等于0且不能超过其最大发射功率。不难发现优化问题/>是严格非凸的,难以在多项式时间内求得其最优解。对于该问题,可以借助拉格朗日对偶变换和二次变换方法将其转换成凸优化问题,从而通过迭代求解该问题得到原始问题的一个次优解。根据拉格朗日对偶变换,通过引入辅助变量ξk,优化问题/>可等价转换为Among them, w k represents the rate weight of UE k , Indicates the upstream WSR. Constraint 1 stipulates that the actual transmit power of the UE should be greater than or equal to 0 and cannot exceed its maximum transmit power. It’s not difficult to find optimization problems/> It is strictly non-convex and it is difficult to find its optimal solution in polynomial time. For this problem, it can be converted into a convex optimization problem with the help of Lagrangian dual transformation and quadratic transformation methods, so that a suboptimal solution to the original problem can be obtained by iteratively solving the problem. According to the Lagrangian dual transformation, by introducing auxiliary variables ξ k , the optimization problem/> Can be equivalently converted to

不难发现当给定ηk时,f(ηk,ξk)关于ξk是凸且可微的,因此ξk可以通过求解其一阶导数并令其为0得出。对f(ηk,ξk)求关于ξk的一阶偏导数并令其为0,可得ξk将/>代入f(ηk,ξk)后,优化问题/>等价于It is not difficult to find that when eta k is given, f(eta k , ξ k ) is convex and differentiable with respect to ξ k , so ξ k can be obtained by solving its first derivative and letting it be 0. Find the first-order partial derivative of f(η k , ξ k ) with respect to ξ k and let it be 0, we can get ξ k as Will/> After substituting f(η k , ξ k ), the optimization problem/> Equivalent to

优化问题仍然是非凸优化问题。为此,采用二次变换技术,优化问题/>可等价转换为Optimization Still a non-convex optimization problem. For this purpose, quadratic transformation technology is used to optimize the problem/> Can be equivalently converted to

其中,δk表示新增的辅助变量。不难发现当给定ηk时,g(ηk,δk)关于δk是凸且可微的,因此δk可以通过求解其一阶导数并令其为0得出。对g(ηk,δk)求关于δk的一阶偏导数并令其为0,可得δkAmong them, δ k represents the newly added auxiliary variable. It is not difficult to find that when eta k is given, g(η k , δ k ) is convex and differentiable with respect to δ k , so δ k can be obtained by solving its first derivative and letting it be 0. Find the first-order partial derivative of g(η k , δ k ) with respect to δ k and let it be 0, we can get δ k as

其中,将/>代入优化问题/>后可以发现,目标函数g(ηk,δk)关于ηk是凸且可微的。因此求解/>关于ηk的一阶偏导数并令其为0,可得功率控制系数为in, Will/> Substitute optimization problem/> Finally, it can be found that the objective function g(η k , δ k ) is convex and differentiable with respect to η k . So solve/> Regarding the first-order partial derivative of eta k and letting it be 0, the power control coefficient can be obtained as

基于上述更新函数,通过若干次迭代即可求得功率控制系数的最优值 Based on the above update function, the optimal value of the power control coefficient can be obtained through several iterations.

具体地,所提WSR优化算法的详细步骤为:Specifically, the detailed steps of the proposed WSR optimization algorithm are:

Step1:初始化迭代次数i←0,定义容忍误差ε>0,设定初始可行解为计算初始WSR,记作/> Step1: Initialize the number of iterations i←0, define the tolerance error ε>0, and set the initial feasible solution as Calculate the initial WSR, denoted as/>

Step2:更新为/> Step2: Update for/>

Step3:更新为/> Step3: Update for/>

Step4:更新为/> Step4: Update for/>

Step5:基于更新/> Step5: Based on Update/>

Step6:判断是否成立;Step6: Judgment whether it is established;

Step7:若不成立,令i← i+1,重复步骤Step2-Step5;Step7: If it is not established, let i← i+1 and repeat steps Step2-Step5;

Step8:若成立,令则/>即为原始WSR优化问题/>的一个次优解。Step8: If established, let then/> That is the original WSR optimization problem/> a suboptimal solution.

步骤4:根据功率系数动态调整UE发射功率,实现WSR优化目标。Step 4: Dynamically adjust the UE transmit power according to the power coefficient to achieve the WSR optimization goal.

以下结合仿真实验对本发明的技术方案性能进行进一步说明The performance of the technical solution of the present invention will be further explained below in combination with simulation experiments.

图2给出了上行WSR和ADC/DAC精度之间的关系图,其中横坐标为ADC/DAC分辨率,纵坐标为上行WSR。为了与本发明设计的WSR优化方法作对比,全功率传输方案和传统的基于几何规划的WSR最优化方法下的上行WSR也在图2中给出。仿真参数设置为M=25/36,K=10,N=6,/>σ2=-126dBm,ρp=ρu=20dBm,wk=1,ε=10-2,仿真场景为400m×400m的区域。如图2所示,对于M=36和M=25的去蜂窝大规模MIMO系统,WSR随着ADC/DAC分辨率的增大而提高且在5比特附近趋于饱和,说明可以通过采用5-bit ADC和DAC来降低硬件功耗和部署成本,并实现与高精度ADC和DAC下相同的WSR性能。同全功率传输方案相比,本发明提出的优化方法可显著提升WSR性能。此外,本发明提出的优化方法下的WSR与基于几何规划的优化方法下的WSR近乎一致。Figure 2 shows the relationship between upstream WSR and ADC/DAC accuracy, where the abscissa is the ADC/DAC resolution and the ordinate is the upstream WSR. In order to compare with the WSR optimization method designed by the present invention, the full power transmission scheme And the uplink WSR under the traditional geometric programming-based WSR optimization method is also shown in Figure 2. The simulation parameters are set to M=25/36, K=10, N=6,/> σ 2 =-126dBm, ρ pu =20dBm, w k =1, ε = 10 -2 , and the simulation scene is an area of 400m×400m. As shown in Figure 2, for decellularized massive MIMO systems with M=36 and M=25, WSR increases with the increase of ADC/DAC resolution and tends to be saturated near 5 bits, indicating that it can be achieved by using 5- bit ADC and DAC to reduce hardware power consumption and deployment costs, and achieve the same WSR performance as high-precision ADC and DAC. Compared with the full-power transmission scheme, the optimization method proposed by the present invention can significantly improve WSR performance. In addition, the WSR under the optimization method proposed in the present invention is almost consistent with the WSR under the optimization method based on geometric programming.

图3给出了不同优化算法的运行时间与UE数目的关系图。观察图3可以发现,与基于几何规划的WSR优化方法相比,本发明提出的WSR优化方法所需的运行时间降低。即使在UE数目较多的去蜂窝大规模MIMO系统中,如K≥22,本发明提出的优化方法所需的运行时间也不超过0.1秒。结合图2和图3中得到的结论,可以发现本发明设计的WSR优化方法在显著提升WSR的同时大幅降低了运行耗时,因此具有较高的实用性。Figure 3 shows the relationship between the running time of different optimization algorithms and the number of UEs. Observing Figure 3, it can be found that compared with the WSR optimization method based on geometric programming, the running time required by the WSR optimization method proposed in the present invention is reduced. Even in a decellularized massive MIMO system with a large number of UEs, such as K≥22, the running time required by the optimization method proposed in the present invention does not exceed 0.1 seconds. Combining the conclusions obtained in Figures 2 and 3, it can be found that the WSR optimization method designed in the present invention can significantly improve WSR and significantly reduce running time, so it has high practicability.

实施例二:Example 2:

本实施例提供一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化装置,所述装置包括:This embodiment provides a low-complexity WSR optimization device for non-ideal cellular massive MIMO systems. The device includes:

信道估计模块:用于考虑低精度ADC量化失真,建立上行导频训练模型,得到Ricean衰落模型下的MMSE信道估计表达式;Channel estimation module: used to consider low-precision ADC quantization distortion, establish an uplink pilot training model, and obtain the MMSE channel estimation expression under the Ricean fading model;

UE速率模块:用于考虑低精度ADC和DAC量化失真,利用MRC接收机和UatF技术得到UE速率闭式表达式;UE rate module: used to consider low-precision ADC and DAC quantization distortion, and use MRC receiver and UatF technology to obtain the closed expression of UE rate;

求解模块:用于基于所述MMSE信道估计表达式和UE速率闭式表达式,建立有关功率控制系数的WSR优化问题,基于二次变换和拉格朗日对偶方法,将原始优化问题转换成凸问题,设计可闭式求解该凸问题的低复杂度方法,得到功率系数;Solving module: used to establish a WSR optimization problem related to the power control coefficient based on the MMSE channel estimation expression and the UE rate closed expression, and convert the original optimization problem into a convex one based on the quadratic transformation and Lagrange duality method. problem, design a low-complexity method that can solve the convex problem in a closed form, and obtain the power coefficient;

调整模块:用于根据功率系数动态调整UE发射功率,实现WSR优化目标。Adjustment module: used to dynamically adjust the UE transmit power according to the power coefficient to achieve WSR optimization goals.

本实施例的装置可用于实现实施例一所述的方法。The device of this embodiment can be used to implement the method described in Embodiment 1.

实施例三:Embodiment three:

本实施例提供一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化装置,包括处理器及存储介质;This embodiment provides a low-complexity WSR optimization device for non-ideal cellular massive MIMO systems, including a processor and a storage medium;

所述存储介质用于存储指令;The storage medium is used to store instructions;

所述处理器用于根据所述指令进行操作以执行根据实施例一所述方法的步骤。The processor is configured to operate according to the instructions to perform the steps of the method according to Embodiment 1.

实施例四:Embodiment 4:

本实施例提供一种计算机可读存储介质,其上存储有计算机程序,该程序被处理器执行时实现实施例一所述方法的步骤。This embodiment provides a computer-readable storage medium on which a computer program is stored. When the program is executed by a processor, the steps of the method described in Embodiment 1 are implemented.

本领域内的技术人员应明白,本申请的实施例可提供为方法、系统、或计算机程序产品。因此,本申请可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本申请可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。Those skilled in the art will understand that embodiments of the present application may be provided as methods, systems, or computer program products. Accordingly, the present application may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment that combines software and hardware aspects. Furthermore, the present application may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.

本申请是参照根据本申请实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present application is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the application. It will be understood that each process and/or block in the flowchart illustrations and/or block diagrams, and combinations of processes and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing device to produce a machine, such that the instructions executed by the processor of the computer or other programmable data processing device produce a use A device for realizing the functions specified in one process or multiple processes of the flowchart and/or one block or multiple blocks of the block diagram.

这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory that causes a computer or other programmable data processing apparatus to operate in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including the instruction means, the instructions The device implements the functions specified in a process or processes of the flowchart and/or a block or blocks of the block diagram.

这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions may also be loaded onto a computer or other programmable data processing device, causing a series of operating steps to be performed on the computer or other programmable device to produce computer-implemented processing, thereby executing on the computer or other programmable device. Instructions provide steps for implementing the functions specified in a process or processes of a flowchart diagram and/or a block or blocks of a block diagram.

以上所述仅是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明技术原理的前提下,还可以做出若干改进和变形,这些改进和变形也应视为本发明的保护范围。The above are only preferred embodiments of the present invention. It should be noted that those of ordinary skill in the art can also make several improvements and modifications without departing from the technical principles of the present invention. These improvements and modifications It should also be regarded as the protection scope of the present invention.

Claims (8)

1.一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法,其特征在于,包括以下步骤:1. A low-complexity WSR optimization method for non-ideal cellular massive MIMO systems, which is characterized by including the following steps: 步骤1、考虑低精度ADC量化失真,建立上行导频训练模型,得到Ricean衰落模型下的MMSE信道估计表达式;Step 1. Considering the low-precision ADC quantization distortion, establish an uplink pilot training model and obtain the MMSE channel estimation expression under the Ricean fading model; 步骤2、考虑低精度ADC和DAC量化失真,利用MRC接收机和UatF技术得到UE速率闭式表达式;Step 2. Considering the low-precision ADC and DAC quantization distortion, use the MRC receiver and UatF technology to obtain the closed expression of the UE rate; 步骤3、基于所述MMSE信道估计表达式和UE速率闭式表达式,建立有关功率控制系数的WSR优化问题,基于二次变换和拉格朗日对偶方法,将原始优化问题转换成凸问题,设计可闭式求解该凸问题的低复杂度方法,得到功率系数;Step 3. Based on the MMSE channel estimation expression and the UE rate closed expression, establish a WSR optimization problem related to the power control coefficient, and convert the original optimization problem into a convex problem based on the quadratic transformation and Lagrange duality method. Design a low-complexity method that can solve the convex problem in a closed form and obtain the power coefficient; 步骤4:根据功率系数动态调整UE发射功率,实现WSR优化目标。Step 4: Dynamically adjust the UE transmit power according to the power coefficient to achieve the WSR optimization goal. 2.根据权利要求1所述的一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法,其特征在于,步骤1、考虑低精度ADC量化失真,建立上行导频训练模型,得到Ricean衰落模型下的MMSE信道估计表达式,包括:2. A low-complexity WSR optimization method for non-ideal cellular massive MIMO systems according to claim 1, characterized in that step 1: considering low-precision ADC quantization distortion, establishing an uplink pilot training model to obtain Ricean fading The MMSE channel estimation expressions under the model include: 在CPU为UE分配导频信号后,假设所有UE同时向AP发射导频信号;第m个AP即APm收到的导频信号经低分辨率ADC量化后,可建模为After the CPU allocates pilot signals to UEs, it is assumed that all UEs transmit pilot signals to the AP at the same time; the pilot signal received by the mth AP, that is, AP m , is quantized by a low-resolution ADC and can be modeled as 其中,m=1,2,...,M,M为AP的总数,k=1,2,...,K,K为UE的总数,为由UE下标构成的集合,τ为导频长度,ρp为UEk的导频发射功率,gmk为APm和第k个UE,即UEk之间的Ricean衰落信道矢量,/>表示导频信号,上标H表示共轭转置,/>为高斯白噪声矩阵,N为AP的天线数,/>为复数域,αm表示衡量ADC失真程度的失真因子,Ym,p表示未量化前的导频信号,/>为量化噪声信号;Among them, m = 1, 2, ..., M, M is the total number of APs, k = 1, 2, ..., K, K is the total number of UEs, is a set composed of UE subscripts, τ is the pilot length, ρ p is the pilot transmission power of UE k , g mk is the Ricean fading channel vector between AP m and the k-th UE, that is, the Ricean fading channel vector between UE k , /> represents the pilot signal, the superscript H represents the conjugate transpose,/> is the Gaussian white noise matrix, N is the number of antennas of the AP,/> It is a complex domain, α m represents the distortion factor that measures the degree of ADC distortion, Y m, p represents the pilot signal before quantization, /> is the quantized noise signal; 基于并利用MMSE估计技术,信道gmk的MMSE估计为:based on And using MMSE estimation technology, the MMSE estimate of channel g mk is: 其中,表示与UEk使用相同导频的所有UE的下标集合,j为不同于k的其他UE下标,βmk为APm和UEk之间的等效大尺度衰落系数,βmj为APm和UEj之间的等效大尺度衰落系数,σ2为噪声功率。in, Represents the subscript set of all UEs using the same pilot as UE k , j is the subscript of other UEs different from k, β mk is the equivalent large-scale fading coefficient between AP m and UE k , β mj is AP m The equivalent large-scale fading coefficient between UE j and UE j , σ 2 is the noise power. 3.根据权利要求2所述的一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法,其特征在于,步骤2、考虑低精度ADC和DAC量化失真,利用MRC接收机和UatF技术推导出UE速率闭式表达式,包括:3. A low-complexity WSR optimization method for non-ideal cellular massive MIMO systems according to claim 2, characterized in that step 2: considering low-precision ADC and DAC quantization distortion, using MRC receiver and UatF technology to derive Obtain the closed expression expression of UE rate, including: 考虑低精度ADC和DAC量化失真,基于MRC接收机建立上行数据传输模型,CPU接收到的数据信号可建模为Considering the quantization distortion of low-precision ADC and DAC, an uplink data transmission model is established based on the MRC receiver. The data signal received by the CPU can be modeled as 其中,λm表示衡量DAC失真程度的失真因子,为APm处的DAC量化噪声,ρu为UE的数据发射功率,ηj表示UEj的功率控制系数,qj表示UEj的数据信号,nm为APm处的高斯白噪声,/>则表示APm处的ADC量化噪声;对上式采用UatF技术,可推导出UEk的速率下界闭式表达式为其中Among them, λ m represents the distortion factor that measures the degree of DAC distortion, is the DAC quantization noise at AP m , ρ u is the data transmission power of UE, η j represents the power control coefficient of UE j , q j represents the data signal of UE j , n m is the Gaussian white noise at AP m ,/> then represents the ADC quantization noise at AP m ; using UatF technology for the above equation, the closed-form expression of the rate lower bound of UE k can be derived as in 在上式中,Kmk和Kmj表示莱斯K因子,γmk和γmj表示信道估计质量因子,θmk表示UEk和APm之间的到达入射角,θmj为UEj和APm之间的到达入射角。In the above formula, K mk and K mj represent the Rice K factor, γ mk and γ mj represent the channel estimation quality factor, θ mk represents the arrival incident angle between UE k and AP m , θ mj is UE j and AP m angle of arrival. 4.根据权利要求2所述的一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法,其特征在于,步骤3、基于所述MMSE信道估计表达式和UE速率闭式表达式,建立有关功率控制系数的WSR优化问题,基于二次变换和拉格朗日对偶方法,将原始优化问题转换成凸问题,设计可闭式求解该凸问题的低复杂度方法,得到功率系数,包括:4. A low-complexity WSR optimization method for non-ideal cellular massive MIMO systems according to claim 2, characterized in that step 3 is to establish based on the MMSE channel estimation expression and the UE rate closed expression. Regarding the WSR optimization problem of power control coefficient, based on the quadratic transformation and Lagrange duality method, the original optimization problem is converted into a convex problem, and a low-complexity method that can solve the convex problem in a closed form is designed to obtain the power coefficient, including: 以最大化WSR为目标,且以UE的功率控制系数为自变量的优化问题建模为The optimization problem with maximizing WSR as the goal and using the power control coefficient of the UE as the independent variable is modeled as 其中,wk表示UEk的速率权重,表示上行WSR;约束1规定了UE的实际发射功率应大于等于0且不能超过其最大发射功率;Among them, w k represents the rate weight of UE k , Indicates uplink WSR; Constraint 1 stipulates that the actual transmit power of the UE should be greater than or equal to 0 and cannot exceed its maximum transmit power; 针对优化问题对其采用拉格朗日对偶变换技术,/>可等价转换为For optimization problems The Lagrangian dual transformation technique is used for it,/> Can be equivalently converted to 其中,ξk表示新增的辅助变量;对f(ηk,ξk)求关于ξk的一阶偏导数并令其为0,可得ξk将/>代入f(ηk,ξk)后,优化问题/>等价于Among them, ξ k represents the newly added auxiliary variable; for f (η k , ξ k ), find the first-order partial derivative of ξ k and let it be 0, we can get ξ k as Will/> After substituting f(η k , ξ k ), the optimization problem/> Equivalent to 对优化问题进行二次变换,其等价于for optimization problems Perform a second transformation, which is equivalent to 其中,δk表示新增的辅助变量;对g(ηk,δk)求关于δk的一阶偏导数并令其为0,可得δkAmong them, δ k represents the newly added auxiliary variable; find the first-order partial derivative of g(η k , δ k ) with respect to δ k and set it to 0, we can get δ k as 其中,将/>代入优化问题/>求解/>关于ηk的一阶偏导数并令其为0,可得功率控制系数为in, Will/> Substitute optimization problem/> Solve/> Regarding the first-order partial derivative of eta k and letting it be 0, the power control coefficient can be obtained as 通过若干次迭代即可求得功率控制系数的最优值 The optimal value of the power control coefficient can be obtained through several iterations 5.根据权利要求4所述的一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化方法,其特征在于,通过若干次迭代即可求得功率控制系数的最优值的步骤包括:5. A low-complexity WSR optimization method for non-ideal cellular massive MIMO systems according to claim 4, characterized in that the optimal value of the power control coefficient can be obtained through several iterations The steps include: Step1:初始化迭代次数i←0,定义容忍误差ε>0,设定初始可行解为计算初始WSR,记作/> Step1: Initialize the number of iterations i←0, define the tolerance error ε>0, and set the initial feasible solution as Calculate the initial WSR, denoted as/> Step2:更新为/> Step2: Update for/> Step3:更新为/> Step3: Update for/> Step4:更新为/> Step4: Update for/> Step5:基于更新/> Step5: Based on Update/> Step6:判断是否成立;Step6: Judgment whether it is established; Step7:若不成立,令i←i+1,重复步骤Step2-Step5;Step7: If it is not established, let i←i+1 and repeat steps Step2-Step5; Step8:若成立,令则/>为原始WSR优化问题/>的一个次优解,为功率控制系数的最优值。Step8: If established, let then/> Optimization problem for original WSR/> A suboptimal solution of is the optimal value of the power control coefficient. 6.一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化装置,其特征在于,所述装置包括:6. A low-complexity WSR optimization device for non-ideal cellular massive MIMO systems, characterized in that the device includes: 信道估计模块:用于考虑低精度ADC量化失真,建立上行导频训练模型,得到Ricean衰落模型下的MMSE信道估计表达式;Channel estimation module: used to consider low-precision ADC quantization distortion, establish an uplink pilot training model, and obtain the MMSE channel estimation expression under the Ricean fading model; UE速率模块:用于考虑低精度ADC和DAC量化失真,利用MRC接收机和UatF技术得到UE速率闭式表达式;UE rate module: used to consider low-precision ADC and DAC quantization distortion, and use MRC receiver and UatF technology to obtain the closed expression of UE rate; 求解模块:用于基于所述MMSE信道估计表达式和UE速率闭式表达式,建立有关功率控制系数的WSR优化问题,基于二次变换和拉格朗日对偶方法,将原始优化问题转换成凸问题,设计可闭式求解该凸问题的低复杂度方法,得到功率系数;Solving module: used to establish a WSR optimization problem related to the power control coefficient based on the MMSE channel estimation expression and the UE rate closed expression, and convert the original optimization problem into a convex one based on the quadratic transformation and Lagrange duality method. problem, design a low-complexity method that can solve the convex problem in a closed form, and obtain the power coefficient; 调整模块:用于根据功率系数动态调整UE发射功率,实现WSR优化目标。Adjustment module: used to dynamically adjust the UE transmit power according to the power coefficient to achieve WSR optimization goals. 7.一种非理想去蜂窝大规模MIMO系统低复杂度WSR优化装置,其特征在于,包括处理器及存储介质;7. A low-complexity WSR optimization device for non-ideal cellular massive MIMO systems, which is characterized by including a processor and a storage medium; 所述存储介质用于存储指令;The storage medium is used to store instructions; 所述处理器用于根据所述指令进行操作以执行根据权利要求1~5任一项所述方法的步骤。The processor is configured to operate according to the instructions to perform the steps of the method according to any one of claims 1 to 5. 8.计算机可读存储介质,其上存储有计算机程序,其特征在于,该程序被处理器执行时实现权利要求1~5任一项所述方法的步骤。8. A computer-readable storage medium having a computer program stored thereon, characterized in that when the program is executed by a processor, the steps of the method according to any one of claims 1 to 5 are implemented.
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