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
fDate :
3/1/1992 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
