毫米波MIMO系统中高频谱效率的混合预编码算法  

Hybrid Precoding Algorithm for High Spectral Efficiency in mm-Wave MIMO Systems

作　　者：周围[1,2] 杨秋艳 ZHOU Wei;YANG Qiu-yan(School of Communication and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;Chongqing Key Laboratory of Mobile Communications Technology,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学通信与信息工程学院,重庆400065 [2]重庆邮电大学移动通信技术重庆市重点实验室,重庆400065

出　　处：《光通信研究》2022年第4期63-68,共6页Study on Optical Communications

基　　金：国家自然科学基金资助项目(61701062)。

摘　　要：为进一步提高毫米波大规模多输入多输出(MIMO)系统中混合预编码的频谱效率,文章提出了一种基于梯度下降的交替最小化(GD-AltMin)混合预编码算法。首先利用信道矩阵的右奇异矢量初始化模拟预编码矩阵;接着通过最小二乘准则和梯度下降法分别更新数字和模拟预编码矩阵;之后在交替最小化原则下,迭代更新数字和模拟预编码矩阵直到满足精度条件,获得最佳的数字和模拟预编码矩阵。通过理论分析和数值仿真,对比了几种经典算法在不同信噪比、射频链数以及收发天线数下的频谱效率。仿真结果表明,所提算法比基于相位提取的交替最小化算法和基于信道奇异值分解的算法更接近最优无约束预编码器的频谱效率,尤其在射频链数大于数据流数的情况下更加明显。In mm-wave massive Multiple Input Multiple Output(MIMO)systems,in order to further improve the spectral efficiency of hybrid precoding in fully connected structure,an Alternate Minimization based on Gradient Descent(GD-AltMin)hybrid precoding algorithm is proposed.Firstly,the right singular vector of the channel matrix is used to initialize the analog precoding matrix.Secondly,digital and analog precoding matrices are updated by least square criterion and gradient descent method respectively.Then,under the principle of alternating minimization,the digital and analog precoding matrices are updated iteratively until the optimal digital and analog precoding matrices are obtained.Through theoretical analysis and numerical simulation,the spectral efficiency of several classical algorithms are compared under different signal-to-noise-ratio,number of radio frequency links and number of transmitting antennas.The results show that the spectral efficiency of the proposed algorithm is closer to the optimal unconstrained precoding algorithm than alternate minimization algorithm using phase extraction and channel singular value decomposition algorithm,especially when the number of radio frequency links is greater than the number of data streams.

关 键 词：毫米波大规模多输入多输出 混合预编码 梯度下降法 交替最小化 

分 类 号：TN92[电子电信—通信与信息系统]