小波基选择及其优化  

Selection and Optimization of Wavelet Base

作　　者：汪新凡[1] 

机构地区：[1]株洲工学院信息与计算科学系,湖南株洲412008

出　　处：《株洲工学院学报》2003年第5期33-35,共3页Journal of Zhuzhou Institute of Technology

摘　　要：不同的小波基具有不同的时频特征,用不同的小波基分析同一个问题会产生不同的结果。故小波分析在应用中便存在一个小波基的选取和优化问题。详述了选择小波基所依据的几个重要特征,并通过实例说明了在小波应用中要把握小波基的特征,根据应用需要,选择合适的小波基。Different wavelet base has different timefrequency characteristics.Different results will come out while analyzing the same problem with different wavelet base.So there is a question of selection and optimization of wavelet base in the application of wavelet analysis.This paper expounds several important features about the selection of the wavelet base.It tells that we should grasp the features of wavelet base in its application through actual examples.It shows how to choose the suitable wavelet base according to the needs of application.

关 键 词：小波基 小波分析 FOURIER分析 紧支性 衰减性 线性相位 消失矩 MATLAB 优化设计 

分 类 号：O174.2[理学—数学]