Asymptotic wavelet and Gabor analysis: extraction of instantaneous frequencies

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, suc...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	IEEE transactions on information theory 1992-03, Vol.38 (2), p.644-664
Hauptverfasser:	Delprat, N., Escudie, B., Guillemain, P., Kronland-Martinet, R., Tchamitchian, P., Torresani, B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Amplitude modulation Applied sciences Bandwidth Computer Science Continuous wavelet transforms Detection, estimation, filtering, equalization, prediction Exact sciences and technology Gabor filters Information, signal and communications theory Matched filters Mathematical Physics Performance analysis Physics Signal analysis Signal and communications theory Signal and Image Processing Signal, noise Telecommunications and information theory Time frequency analysis Wavelet analysis Wavelet transforms
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.< >
ISSN:	0018-9448 1557-9654
DOI:	10.1109/18.119728