Time-Frequency Analysis, from Geometry to Signal Processing

International audienceWe 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