A Variable Step Size LMS Adaptive Filtering Algorithm and Its Analysis

GAO Ying; XIE Sheng-li

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A Variable Step Size LMS Adaptive Filtering Algorithm and Its Analysis

更新时间：2025-07-16

- A Variable Step Size LMS Adaptive Filtering Algorithm and Its Analysis
- Acta Electronica Sinica Vol. 29, Issue 8, Pages: 1094-1097(2001)
- 作者机构：
  
  华南理工大学电子与通信工程系,广东,广州,510641
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.72
- Published：2001
- 稿件说明：
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GAO Ying, XIE Sheng-li. A Variable Step Size LMS Adaptive Filtering Algorithm and Its Analysis[J]. Acta Electronica Sinica, 2001, 29(8): 1094-1097.
DOI：

GAO Ying, XIE Sheng-li. A Variable Step Size LMS Adaptive Filtering Algorithm and Its Analysis[J]. Acta Electronica Sinica, 2001, 29(8): 1094-1097. DOI：

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

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

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.

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 bett

er than that of former algorithms.

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