Time-Frequency Analysis, from Geometry to Signal Processing

Bruno Torrésani (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

We describe some aspects of time-frequency analysis, involving mainly two arguments: time-frequency localization, and symmetry constraints. We show how such arguments appear in the classical time-frequency transforms (Wigner transforms, wavelet and Gabor transforms). Then we discuss deformed versions of one of these transforms, namely the reassigned Gabor transform, and show that it may be a promizing alternative to Wigner function.

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

Bruno Torrésani. Time-Frequency Analysis, from Geometry to Signal Processing. International Worshop on Contemporary Problems in Mathematical Physics, Oct 1999, Cotonou, Benin. ⟨hal-01741392⟩