一种基于正弦函数的归一化变步长LMS算法  

A Normalized 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：《无线电工程》2014年第3期21-23,共3页Radio Engineering

基　　金：陕西省自然科学基金资助项目(2010JQ8007)

摘　　要：虽然传统最小均方(LMS)算法具有结构简单、计算量小和稳定性好等优点,但其存在收敛速度与稳态误差相矛盾的问题。归一化LMS算法是用输入信号的功率对步长进行归一化,是一种重要的变步长算法,但其使用的全局步长因子是固定的。为了解决这一问题,将该算法与基于正弦函数的变步长LMS算法相结合,提出了一种基于正弦函数的归一化变步长LMS算法。仿真结果表明,该算法优于传统LMS算法、归一化LMS算法和基于正弦函数的变步长LMS算法。Although the traditional LMS algorithm has simple structure,small burden in computation,good stability and so on, there is contradiction in relationship between steady-state error and convergence.The normalized LMS algorithm is to normalize the step-size by using the power of the input signal,and it is an important variable step-size algorithm,but the used global step size factor is fixed.In order to solve this problem,the algorithm is combined with the variable step-size LMS algorithm based on sine function,and a new normalized variable step-size LMS algorithm based on sine function is proposed.The computer simulation results show that this new algorithm is better than traditional LMS algorithm,normalized LMS algorithm and variable step-size LMS algorithm based on sine func-tion.

关 键 词：LMS 算法 归一化 正弦函数 收敛速度 稳态误差 

分 类 号：TN949[电子电信—信号与信息处理]