Recursive versions of the reassigned scalogram and of the synchrosqueezed Wavelet Transform

Dominique Fourer (1) , François Auger (2)

1 Analyse et synthèse sonores [Paris]
2 IREENA - Institut de Recherche en Energie Electrique de Nantes Atlantique EA4642

This paper introduces a new class of mother wavelet functions, based on a specific analysis window which allows a recursive implementation of the Continuous Wavelet Transform (CWT). Using this new transform, we propose to compute a sharpened time-frequency representation by rewording the reassigned scalogram and the (first and second-order) synchrosqueezed CWT. We also propose an extension of the CWT reassignment operators, using the Levenberg-Marquardt algorithm , which can control the energy concentration of a reassigned scalogram through a damping parameter. Thus, our methods provide tools which pave the way of the real-time computation of reversible and almost-ideal time-frequency representations.

Domaines: Traitement du signal et de l'image [eess.SP]

Dominique Fourer, François Auger. Recursive versions of the reassigned scalogram and of the synchrosqueezed Wavelet Transform. 22nd International Conference on Digital Signal Processing (DSP 2017), Aug 2017, Londres, United Kingdom. ⟨hal-01589494⟩