Research Of Adaptive Filtering Algorithms

The research of adaptive filtering algorithms is one of the most active tasks in the field of modern signal processing.The goal that researchers are pursuing is to find an adaptive filtering algorithm that converges fast and has low arithmetic complexity.This paper aims at the adaptive filtering algorithms and their applications.Firstly, based on the adaptive filtering principle,several typical adaptive algorithms as well as their applications are introduced in this paper, and a comparison is made among these algorithms' characters. Secondly ,the author analyzes the performance of the conventional LMS(Least Mean Square) algorithm.And due to the fact that the convergent speed and steady-state error are afected by the fixed step-size in classical LMS algorithm,an improved algorithm is presented with normalized variable step-size. Computer simulation verifies the better performance of the new algorithm. At last, the author connect with practice, introduce linear limited LMS algorithm in detail and use the algorithm in FIR filter to realise pick up the signals in the backgroud of clutter.