一种基于有限内存拟牛顿法的混合波束成形算法  

A Hybrid Beamforming Algorithm Based on Limited-Broyden-Fletcher-Goldfarb-Shanno

作　　者：严军荣[1] 江沛莲 李沛 YAN Junrong;JIANG Peilian;LI Pei(School of Communication Engineering,Hangzhou Dianzi University,Hangzhou 310000,China)

机构地区：[1]杭州电子科技大学通信工程学院,杭州310000

出　　处：《电子与信息学报》2024年第6期2542-2548,共7页Journal of Electronics & Information Technology

基　　金：国家自然科学基金(U21A20450,62301204)。

摘　　要：针对现有混合波束成形算法运行时间长、频谱效率低、误码率高的问题,该文提出一种基于有限内存拟牛顿法的混合波束成形算法(LBFGS)。该算法首先通过数字预编码器的最小二乘解构建单变量目标函数;然后采用目标函数的梯度近似黑塞矩阵的逆得到搜索方向并沿搜索方向更新模拟预编码器,直到满足停止条件;最后固定模拟预编码器得到数字预编码器。MATLAB仿真结果表明,LBFGS算法较现有MO算法减少了28%的运行时间,频谱效率提高了1.05%,误码率降低了1.06%。To solve the problems of long runtime,low spectral rate and high bit error rate,which exist in conventional hybrid beamforming schemes,a hybrid beamforming algorithm based on Limited-Broyden-Fletcher-Goldfarb-Shanno(LBFGS)is proposed.Firstly,a single variable objective function is constructed through the least squares solution of the digital precoder.Then,the gradient of the objective function is used to approximate the inverse of the Hessian matrix for obtaining the search direction and the analog precoder is updated along the search direction until the stop condition is satisfied.Finally,the analog precoder is fixed to obtain the digital precoder.The MATLAB simulation analysis indicate that LBFGS algorithm reduces the running time by 28%,increases spectral rate by 1.05%,and reduces bit error rate by 1.06%,compared to MO algorithm.

关 键 词：毫米波 大规模MIMO 混合波束成形 重叠天线阵列 

分 类 号：TN929.5[电子电信—通信与信息系统]