DocumentCode
1191152
Title
Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies
Author
Delprat, N. ; Escudie, B. ; Guillemain, P. ; Kronland-Martinet, Richard ; Tchamitchian, P. ; Torresani, Bruno
Author_Institution
LMA-IM, Marseille, France
Volume
38
Issue
2
fYear
1992
fDate
3/1/1992 12:00:00 AM
Firstpage
644
Lastpage
664
Abstract
The behavior of the continuous wavelet and Gabor coefficients in the asymptotic limit using stationary phase approximations are investigated. In particular, it is shown how, under some additional assumptions, these coefficients allow the extraction of some characteristics of the analyzed signal, such as frequency and amplitude modulation laws. Applications to spectral line estimations and matched filtering are briefly discussed.<>
Keywords
filtering and prediction theory; matched filters; signal processing; spectral analysis; transforms; Gabor coefficients; amplitude modulation laws; continuous wavelet; frequency extraction; matched filtering; signal analysis; spectral line estimations; stationary phase approximations; wavelet transform; Amplitude modulation; Bandwidth; Continuous wavelet transforms; Gabor filters; Matched filters; Performance analysis; Signal analysis; Time frequency analysis; Wavelet analysis; Wavelet transforms;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.119728
Filename
119728
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