基于双曲正弦函数设计变步长的LMS算法  

Design of LMS Algorithm with Variable Step-Size Based on Hyperbolic Sine Function

作　　者：韦洪浪 余伟 赵黎 管四海 WEI Hong-lang;YU Wei;ZHAO Li;GUAN Si-hai(Guilin University of Technology,Guilin Guangxi 541004,China;Southwest Minzu University,Chengdu Sichuan 610025,China)

机构地区：[1]桂林理工大学,广西桂林541004 [2]西南民族大学,四川成都610225

出　　处：《计算机仿真》2023年第11期336-340,451,共6页Computer Simulation

基　　金：2021年广西中青年项目(2021KY1671);中央高校基本科研业务费专项资金项目(2021XJTD01,2021NQNCZ04);西南民族大学引进人才科研启动金资助项目(RQD2021064)。

摘　　要：针对非高斯环境下传统变步长LMS(Variable step-size least mean square,VSS-LMS)算法性能不佳的问题,基于传统的VSS-LMS算法利用双曲正弦函数构建变步长的更新策略,提出一种基于双曲正弦函数的变步长LMS算法。并在理论上分析了新提出VSS-LMS算法的收敛性与算法复杂度,并给出在不同输入信号时对两种特性的线性系统的VSS-LMS算法的辨识结果,且每次仿真中都在不同分布的非高斯噪声下进行。结果表明,提出的算法相比Log-NLMS算法和改进G-SVSLMS算法,新提出的VSS-LMS算法具有更快的收敛速度和较好的稳态特性,且稳态误差趋于理论的SNR。Aiming at the poor performance of the variable step-size least mean square(VSS-LMS)algorithm in a non-Gaussian environment,this paper proposes a novel VSS-LMS algorithm based on the hyperbolic sine function.Specifically,the hyperbolic sine function was used to design a variable step-size update strategy.Based on this,the convergence and computational complexity of the proposed VSS-LMS algorithm were theoretically analyzed.Further-more,the simulation experiment results of system identification were used to illustrate the principle and efficiency of the proposed VSS-LMS algorithm.The performance of the algorithm was analyzed mathematically and validated ex-perimentally.Simulation results demonstrate that the proposed VSS-LMS is superior to the Log-NLMS and improved the G-SVSLMS algorithm,and the steady-state mean square error tends to the theoretical result SNR.

关 键 词：最小均方 变步长 非高斯噪声 双曲正弦函数 

分 类 号：TN911.7[电子电信—通信与信息系统]