电子学报 ›› 2001, Vol. 29 ›› Issue (8): 1094-1097.

• 论文 • 上一篇    下一篇

一种变步长LMS自适应滤波算法及分析

高 鹰, 谢胜利   

  1. 华南理工大学电子与通信工程系,广东广州 510641
  • 收稿日期:2000-04-12 修回日期:2000-08-22 出版日期:2001-08-25 发布日期:2001-08-25

A Variable Step Size LMS Adaptive Filtering Algorithm and Its Analysis

GAO Ying, XIE Sheng-li   

  1. Dept.of Electronic and Communication Engineering,South China University of Technology,Guangzhou,Guangdong 510641,China
  • Received:2000-04-12 Revised:2000-08-22 Online:2001-08-25 Published:2001-08-25

摘要: 本文对变步长自适应滤波算法进行了讨论,建立了步长因子μ与误差信号e(n)之间另一种新的非线性函数关系.该函数比已有的Sigmoid函数简单,且在误差e(n)接近零处具有缓慢变化的特性,克服了Sigmoid函数在自适应稳态阶段步长调整过程中的不足.由此函数本文得出了另一种新的变步长自适应滤波算法,并且分析了参数α,β的取值原则及对算法收敛性能的影响.该算法有较好的收敛性能且计算量少.计算机仿真结果与理论分析相一致,证实了该算法的收敛性能优于已有的算法.

关键词: 自适应滤波, 变步长自适应滤波算法, LMS算法

Abstract: This paper discusses about some algorithms of variable step size LMS adaptive filtering and establishes another new non-linear functional relationship between μ and e(n).The functional relationship is not only simpler than Sigmoid functional relationship,but also has the property of slight change e(n) near to zero.Therefore it is superior to Sigmoid functional relationship in the process of step size change of adaptive steady state.On the basis of the functional relationship,The author presents the new algorithm of variable step size LMS adaptive filtering and analyses the algorithm with various α and β.the algorithm has less computational complexity than the former algorithms,besides good convergence properties.Computer simulation results confirms the theoretical analysis and shows the algorithm performance is better than that of former algorithms.

Key words: adaptive filtering, variable step size adaptive filtering algorithm, LMS algorithm

中图分类号: