Time-Frequency and Time-Scale Analysis

Bruno Torrésani (1, 2)

1 CPT - Centre de Physique Théorique - UMR 6207
2 LATP - Laboratoire d'Analyse, Topologie, Probabilités

Current multimedia technologies call for eecient ways of repp resenting signals. We review several eecient methods for signal represenn tation, emphasizing potential applications in signal compression and denoiss ing. We pay special attention to the representations which are adapted to non-stationaryy features of signals, in particular the classes of bilinear repp resentations, and their approximations using time-frequency atoms (mainly wavelet transforms and Gabor transforms).

Domaines: Analyse classique [math.CA]; Traitement du signal et de l'image [eess.SP]

Bruno Torrésani. Time-Frequency and Time-Scale Analysis. Signal Processing for Multimedia, 1999, Il Chiocco, Italy. ⟨hal-01739627⟩