一种基于多尺度小波变换的自适应滤波新算法  

A New Adaptive Filtering Algorithm Based on Multi-scale Wavelet Transform

作　　者：唐建锋[1] 张登玉[1] 罗湘南[1] 

机构地区：[1]衡阳师范学院物理与电子信息科学系,湖南衡阳421008

出　　处：《通信技术》2008年第12期405-407,共3页Communications Technology

基　　金：湖南省自然科学基金资助项目(06JJ50118);衡阳师范学院青年骨干教师资助项目

摘　　要：将多尺度小波变换的理论引入到LMS自适应滤波器的设计中,分析了基于多尺度正交小波变换的自适应滤波算法的原理;将变步长LMS算法与多尺度小波变换的思想结合,提出了一种新的小波自适应滤波算法(MSWT-MVSS-LMS),新算法既减少了输入向量自相关矩阵条件数,又克服了固定步长LMS算法在收敛速度与收敛精度方面与步长因子μ的矛盾,获得了更好的收敛速度和稳定性。仿真结果表明新算法是有效的和优越的。The multiple-scale wavelet transform theory is introduced into the LMS adaptive filtering algorithm. The paper analyzes the principle of the LMS adaptive filtering algorithm based on multiple-scale wavelet transform. The variable step size LMS algorithm and the multiple-scale wavelet transform are merged into the adaptive filtering system. A novel method is proposed in this paper, that is, a LMS adaptive filtering algorithm with modified variable step size based on multiple-scale wavelet transform （MSWT-MVSS-LMS）. The novel algorithm can decrease the conditions for auto-correlation matrix of the input vector, and also resolve the contradiction that fixed step size could not result in fast convergence speed and low residual error simultaneously. Experimental results indicate that the new algorithm has not only better convergence property but also better stable mean square errors than the former algorithms.

关 键 词：自适应滤波 最小均方算法 变步长 多尺度小波变换 

分 类 号：TN911.1[电子电信—通信与信息系统]