基于指数函数的归一化变步长LMS算法

摘要

在研究归一化最小均方误差(NLMS)算法的基础上,提出一种基于指数函数的变步长LMS算法.通过建立误差ε和步长μ的函数关系,实时调整步长,并对输入信号完成时域信号解相关,解决稳态失调系数与收敛速度的矛盾.仿真实验结果证明,该算法与传统LMS 算法、SVS_LMS算法、NLMS算法以及双曲正切变步长LMS算法相比,具有更高的收敛速度和较小的稳态失调系数.%This paper proposes a new variable step size Normalized Least Mean SquarefNLMS) algorithm based on exponential function according to NLMS. A function relationship is established between signal error e and step size /j, and the contradiction between convergence speed and maladjustment error is solved. Simulation experimental results show that the ameliorative I.MS algorithm has faster convergence speed and smaller maladjustment error than the commonly LMS algorithm and a variable step size LMS algorithm based on hyperbolic tangent function.