Implementation of the continuous wavelet transform for digital time series analysis

被引：66
|
作者：
Jordan, D [1 ]
Miksad, RW [1 ]
Powers, EJ [1 ]
机构：
[1] UNIV TEXAS,DEPT ELECT & COMP ENGN,AUSTIN,TX 78712
来源：
REVIEW OF SCIENTIFIC INSTRUMENTS | 1997年 / 68卷 / 03期
关键词：
D O I：
10.1063/1.1147636
中图分类号：
TH7 [仪器、仪表];
学科分类号：
0804 ; 080401 ; 081102 ;
摘要：
The wavelet transform has emerged as an important tool for the analysis of intermittent and nonstationary signals. This article addresses implementation issues of a digital continuous wavelet transform that is sufficiently general that any continuous wavelet can be used. Working equations are derived for wavelet sampling, aliasing, and scale population by using the band-pass filter interpretation of wavelet functions. The implementation procedure is applied to the Morlet wavelet in detail as an example. Finally, the Morlet wavelet is applied to velocity fluctuations measured in a subsonic wake undergoing transition to turbulence. (C) 1997 American Institute of Physics.
引用
收藏
页码：1484 / 1494
页数：11
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