| 基于改进变步长最小均方算法的自适应滤波器设计 |
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| 引用本文：孔垂锐1，陈凤仙1，虞忠明2，张宇2，孙燕磊1，赵春燕1,夏巍1.基于改进变步长最小均方算法的自适应滤波器设计[J].计算技术与自动化,2025,(2):74-79 |
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| 中文摘要:针对目前定步长和变步长最小均方（Least Mean Square，LMS）算法在设计低通滤波器时面临稳态精度和响应速度二者无法同时保障的问题，设计了一种基于改进变步长LMS算法的自适应滤波器。为获得较高的稳态精度和响应速度，该算法设计过程中引入了改进双曲正切函数用以实现对步长因子及误差信号的连续调节。利用MATLAB/Simulink仿真软件对改进变步长LMS算法下的自适应滤波器进行仿真验证。结果表明，在该算法下设计的滤波器不仅能够响应速度快，而且还能获得较高的稳态精度。 |
| 中文关键词:自适应滤波器 变步长LMS算法 双曲正切函数 |
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| Adaptive Filter Design Based on Modified Variable Step Size Least Mean Square Algorithm |
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| Abstract:This paper presents an approach that tackles a significant challenge in low pass filter design achieving both high steady state accuracy and rapid response speed using actual fixed and variable step size Least Mean Square (LMS) algorithms. The approach proposes the design an adaptive filter based on an enhanced variable step size LMS algorithm is then detailed. The integration of an improved hyperbolic tangent function within the algorithm's design allows for the continuous adjustment of both the step size factor and the error signal, consequently enhancing steady state accuracy and response speed. The effectiveness of the proposed adaptive filter is simulated and validated using MATLAB/Simulink simulation software. Results indicate the filter’s efficiency, demonstrating not only a rapid response speed but also a high degree of steady state accuracy. |
| keywords:adaptive filter variable step size LMS algorithm hyperbolic tangent function |
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