基于LMS算法与RLS算法自适应滤波及仿真分析

自适应滤波器在随机信号处理当中得到了广泛应用.文讲述了LMS算法和RLS算法的基本原理,基于两种算法的推导过程较为繁琐,不便理解,本文以两种算法的主要计算环节为突破口,选取合适的迭代公式,对两种算法进行公式推导,方便读者理解.同时,本文通过原理推导、软件仿真的试验方法,设置输入信号、噪声信号,通过输出信号的图像走势对两种算法的优缺点进行对比分析,使读者对两种算法及滤波器的设计具有直观的认识,有一定的参考意义.

Adaptive filtering and simulation analysis based on LMS and RLS algorithm

Adaptive filterhas have been widely used in random signal processing.This articl describes the basic principle of the LMS and RLS algorithms.Based on the derivation process of the two algorithms is tedious and hard to understand.This article regards the main calculation steps of the two algorithms as a breakthough,and selects the appropriate iterative formulas to derive the two algorithms,giving conveniences of readers to understand.Meanwhile,this article uses the motheds of principle derivation and software simulation,setting the input signal and the noise signal,comparing the advantages and disadvantages of the two algorithms through the trends of the output signal,in order to give a clear understanding of the designs of the two algorithms and filters,and also having a certain reference significance.