摘要
对自适应最小均方误差(LMS)滤波算法的步长选取问题进行了研究.在分析现有变步长LMS算法的基础上,通过对双曲正弦函数进行数学变化,构造步长因子u(n)与误差信号e(n)的函数,提出了一种基于双曲正弦函数的新变步长LMS算法,分析了参数a、b、c的选取对该算法性能的影响.仿真结果表明:该算法在收敛速度和稳态误差方面明显优于固定步长LMS算法及SVS-LMS算法.
The adaptive minimum mean square error （ LMS ） filtering algorithm step was studied .Based on analyzing the existing variable step size LMS algorithm , through mathematical changes on the hyperbolic sine func-tion, a function is set up between step size factor u（n） and the error signal e（n） function, and a new variable step size LMS algorithm is proposed based on the hyperbolic sine function , and the influence of parameter a, b, c value on the performance of the algorithm was analyzed .Simulation results show that the proposed algorithm significantly outperforms the fixed step size LMS algorithm and SVS-LMS algorithm in convergence speed and steady-state error .
出处
《湖南师范大学自然科学学报》
CAS
北大核心
2014年第4期62-65,共4页
Journal of Natural Science of Hunan Normal University
基金
湖南省自然科学基金资助项目(12JJ3071
关键词
LMS算法
步长因子
变步长
稳态误差
收敛速度
双曲正弦函数
LMS algorithm
step factor
variable step-size
seeady-state error
convergence rate
hyperbolic sine function
