Wavelet moments and time-frequency analysis

被引：6
|
作者：
Cohen, L [1 ]
机构：
[1] CUNY Hunter Coll, Dept Phys & Astron, New York, NY 10021 USA
来源：
ADVANCED SIGNAL PROCESSING ALGORITHMS, ARCHITECTURES,AND IMPLEMENTATIONS IX | 1999年 / 3807卷
关键词：
wavelet; time-frequency; moments;
D O I：
10.1117/12.367660
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
We obtain explicit expressions for the time, scale, and frequency moments of the wavelet transform in terms of the moments of the signal and wavelet. We show that generally they do not exist for common signals even when the moments of the signal and wavelet do exist. The peculiar behavior of the wavelet transform in this regard is pinpointed. The lack of existence of simple moments makes the interpretation and usefulness of the wavelet transform for time-frequency analysis problematic and it is argued that its behavior is quite poor when compared to other simple time-frequency methods, such as the short-time Fourier transform.
引用
收藏
页码：434 / 445
页数：12
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