一种基于正弦函数的新变步长LMS算法  

A New Variable Step-size LMS Algorithm Based on Sine Function

作　　者：卢炳乾[1] 冯存前[1] 龙戈农[1] 

机构地区：[1]空军工程大学防空反导学院,陕西西安710051

出　　处：《空军工程大学学报（自然科学版）》2013年第2期47-50,共4页Journal of Air Force Engineering University(Natural Science Edition)

基　　金：陕西省自然科学基金资助项目(2010JQ8007)

摘　　要：为解决传统LMS算法由于固定步长,在解决稳态误差与收敛性之间关系时始终处于矛盾状态的问题,在对固定步长LMS算法分析的基础上,根据变步长LMS算法的步长调整原则,通过构造步长因子μ(n)与误差信号e(n)的非线性函数,提出了一种基于正弦函数的新变步长LMS算法,并且分析了参数取值对算法性能的影响。理论分析和仿真结果表明:该算法的收敛速度和稳态误差明显优于固定步长的LMS算法和SVS-LMS算法。Although the traditional LMS algorithm has many advantages, such as simple methods and small burden in computation, but for the sake of constant step, it is always into contradictions in the relationship between solving the steady-state error and convergence. Based on brief discussion of fixed step-size LMS, and the principle of adjusting step-size for variable step-size LMS algorithm, by constructing a nonlinear function between the step factor and the error signal , a new variable step-size LMS algorithm based on sine function is proposed, along with the performance analysis with regard to different parameters. The theoretical analysis and simulation results show that the convergence speed and steady-state error of this algorithm are better than those of the fixed step-size LMS algorithm and SVS-LMS algorithm.

关 键 词：LMS算法 变步长 收敛速度 稳态误差 

分 类 号：TN949[电子电信—信号与信息处理]