Gabor Transform and Continuous Wavelet Transform for Model Pulsed Signals

被引：5
|
作者：
Andreev, D. A. [1 ]
Bozhokin, S. V. [1 ]
Venevtsev, I. D. [1 ]
Zhunusov, K. T. [1 ]
机构：
[1] St Petersburg State Polytech Univ, St Petersburg 195251, Russia
来源：
TECHNICAL PHYSICS | 2014年 / 59卷 / 10期
关键词：
Window Size; Signal Amplitude; Discrete Wavelet Transform; Mother Wavelet; Continuous Wavelet Transform;
D O I：
10.1134/S1063784214100065
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
A model of a pulsed signal in the form of a superposition of elementary nonstationary signals is considered. The parameters of such a superposition are chosen so that signal amplitude A(t) strongly varies with time. For such a signal, the analytic expression for the Gabor transform (GT) and continuous wavelet transform (CWT) using the mother Morlet wavelet are analyzed. A criterion is proposed for the matched behaviors of GT and CWT with signal amplitude A(t). The advantages of the CWT adaptively selecting the window size over the GT whose explicit form depends on the window size are demonstrated. The proposed method can be used for analysis of many transient stages of time-dependent signals in various branches of physics.
引用
收藏
页码：1428 / 1433
页数：6
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