Geometrical relationship between serial signal's time and scanning time in the numerical implement of continuous wavelet transform

被引：0

作者：

Wan, XY ^{[1
]}

Nie, N ^{[1
]}

机构：

[1] Sichuan Univ, Coll Elect & Informat, Chengdu 610064, Sichuan, Peoples R China

来源：

Wavelet Analysis and Active Media Technology Vols 1-3 | 2005年

关键词：

best wavelet initialization sampling-scale; best wavelet scanning time; any order fractional calculus; binary pick sampling; numerical wavelet filter; time shift;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

One of the key discrete approach for the numerical implement of the continuous wavelet transform is to ascertain geometrical relationship between serial signal's time and scanning time, which is the requirement and basic for wavelet analytic engineering achievement and research in theory. This article disserts the basic theory for the numerical implement of the continuous wavelet transform. According to the highest numeric angle frequency of signal is at or below pi, in this two cases the article respectively deduces geometrical relationship between serial signal's time and scanning time. On this basis, the paper find out the best wavelet scanning time of wavelet transform. These useful conclusions solve a fundamental issue of wavelet analyses in engineering practice and research in theory.

引用

页码：1120 / 1124

页数：5

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