The unified mathematical model of transforms in signal processing

被引：0
|
作者：
Qin, SR [1 ]
Zhong, YM [1 ]
机构：
[1] Chongqing Univ, Test Ctr, Chongqing 400044, Peoples R China
来源：
SICE 2002: PROCEEDINGS OF THE 41ST SICE ANNUAL CONFERENCE, VOLS 1-5 | 2002年
关键词：
unified mathematical model; domain variable; domain variable function; transform kernel function;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
At present, there exist many transformation methods in signal analysis and there is an increasing number of methods being developed. It is of great importance to study how to grasp transformation methods of signal analysis and how to implement them by using software on a computer. In this paper an attempt is made to build a unified mathematical model for signal transformations. Concepts such as domain variable, domain variable function, transform kernel function etc. are given and the unified mathematical model of the Fourier transform, the short time Fourier transform and the wavelet transform are studied and established. Furthermore, the flowchart of the model is given and the physical meaning of the model is described. Finally the values of the parameters and parameter functions of Fourier transform, short time Fourier transform and wavelet transform in the model are given in this paper.
引用
收藏
页码：1450 / 1455
页数：6
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