Asymptotic Wavelet and Gabor Analysis: Extraction of Instantaneous Frequencies
Authors: Delprat N., Escudié B., Guillemain P., Kronland-Martinet R., Tchamitchian P., Torrésani B.
Publication Date: May 1992
Journal: IEEE TRANSACTIONS ON INFORMATION THEORY (VOL. 38, NO. 2, pp: 11-20, MARCH 1992)
The behavior of the continuous wavelet and Gabor coefficients in the asymptotic limit, using stationary phase ap- proximations are investigated. In particular, it is shown how, under some additional assumptions, these coefficients allow the extraction of some characteristics of the analyzed signal, like for example frequency and amplitude modulation laws. Applica- tions to spectral line estimations and matched filtering are briefly discussed.