Research on the unified mathematical model for FT, STFT and WT and its applications

被引：32

作者：

Qin, SR ^{[1
]}

Zhong, YM ^{[1
]}

机构：

[1] Chongqing Univ, Coll Mech Engn, Test Ctr, Chongqing 400030, Peoples R China

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2004年 / 18卷 / 06期

基金：

中国国家自然科学基金;

关键词：

unified mathematical model; signal transforms; application;

D O I：

10.1016/j.ymssp.2003.12.002

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper presents and discusses a unified mathematical model for some classical signal transforms. The study not only gives theoretical insights in signal transforms, but also provides application values. The mathematical models of Fourier transform (FT), short time Fourier transform (STFT) and wavelet transform (WT) are studied, and the general form of the unified model of these three transforms are derived. The flow charts of these models are presented and discussed. The specific values of the variables and parameter functions of FT, STFT and WT in unified mathematical model are given. Finally, some examples are presented to show the applications of the unified mathematical models of signal transforms. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：1335 / 1347

页数：13

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