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Proceedings Paper

Wavelet moments and time-frequency analysis
Author(s): Leon Cohen
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Paper Abstract

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 exit. 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.

Paper Details

Date Published: 2 November 1999
PDF: 12 pages
Proc. SPIE 3807, Advanced Signal Processing Algorithms, Architectures, and Implementations IX, (2 November 1999); doi: 10.1117/12.367660
Show Author Affiliations
Leon Cohen, CUNY/Hunter College (United States)


Published in SPIE Proceedings Vol. 3807:
Advanced Signal Processing Algorithms, Architectures, and Implementations IX
Franklin T. Luk, Editor(s)

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