基于最优小波包基的信号增强算法研究及应用

本文介绍了小波包分析的基本理论以及小波包信号降噪的基本原理,与小波变换相比,小波包变换则是对小波分解中所得到的高频部分再继续细分为一些子频带,具有更精细的信噪分离能力,所以对包含大量中、高频信息的信号能更好地进行时频局部化分析。小波包变换在信号去噪中有着非常重要的应用,因此利用小波包对信号进行消噪也越来越受到科学界的关注。本文的主旨在于研究最优小波包基函数的选取方法,以小波包分析为基础,根据最小代价原理研究信号分解的最佳小波包基,从而在最优小波包基的基础上获得最好的信号增强效果。

Research and application of signal enhancement algorithm based on the wavelet packet

this paper introduces the basic theories of the wavelet packet analysis and the basic principle of wavelet packet signal de-noising.Comparing with wavelet transform,wavelet packet transform decomposes the high frequency part that is given from wavelet decomposition again into further some sub-bandes,and has the finer signal-to-noise separation,so for the signal which include mass middle and high frequency information,wavelet packet transform can do better in time-frequency localization analysis.Wavelet packet transform is very important in the application of signal de-noising,thus signal de-noising of using wavelet packet also gets more and more attention by science.This essay mainly studies the optimal selection of wavelet packet function method,and base on the wavelet packet analysis,it studies the best wavelet packet based on the minimum price principle,according to the best wavelet packet,we want to get the best signal enhancement effect.