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Time-Frequency Analysis, from Geometry to Signal Processing

Abstract : 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.
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https://hal-amu.archives-ouvertes.fr/hal-01741392
Contributor : Bruno Torrésani <>
Submitted on : Friday, March 23, 2018 - 9:28:52 AM
Last modification on : Wednesday, October 10, 2018 - 1:26:22 AM
Long-term archiving on: : Thursday, September 13, 2018 - 7:28:38 AM

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

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