小波包时频分析及其特性  

Wavelet Packet Time-Frequency Analysis and Its Property

作　　者：钟佑明[1] 

机构地区：[1]重庆交通大学信息科学与工程学院

出　　处：《振动．测试与诊断》2009年第1期51-54,共4页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(编号:50608072);重庆市科技攻关计划资助项目(编号:CSTC;2008AC6099);重庆市自然科学基金资助项目(编号:CSTC;2005BB6056)

摘　　要：在两种典型的非平稳信号分析方法——小波包变换与短时傅里叶变换的基础上,综合两种方法的优点,提出了小波包时频方法。建立了相应的小波包时频分量谱、小波包时频分量幅度谱、小波包时频谱、小波包时频幅度谱等概念。证明了小波包时频分析的能量守恒性,形成了一套较完善的分析体系。算例表明,该分析方法在诊断奇异、检测信号深层次细节等方面具有一些独特性质。Based on two typical methods for analyzing nonstationary signals,the wavelet packet transform and the short time Fourier transform(STFT),a method named wavelet packet time-frequency analysis(WPTFA) was put forward.Four concepts related to the WPTFA method were defined,which were wavelet packet time-frequency component spectrum,amplitude spectrum of wavelet packet time-frequency component,wavelet packet time-fequency spectrum,amplitude spectrum of wavelet packet time-frequency.Energy conservation of WPTFA was proved and the method of using WPTFA was presented.Two examples demonstrated some special merits of WPTFA in identifying singularities and other details of signals.

关 键 词：小波包时频分析 小波包时频分量谱 小波包时频谱 能量守恒 

分 类 号：TH115[机械工程—机械设计及理论]