Time-frequency and time-scale vector fields for deforming time-frequency and time-scale representations

Laurent Daudet; Marcela Morvidone; Bruno Torresani

doi:10.1117/12.366763

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26 October 1999 Time-frequency and time-scale vector fields for deforming time-frequency and time-scale representations

Laurent Daudet, Marcela Morvidone, Bruno Torresani

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Proceedings Volume 3813, Wavelet Applications in Signal and Image Processing VII; (1999) https://doi.org/10.1117/12.366763
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

We study local deformations of time-frequency and time-scale representations, in the framework of the so-called reassignment methods, which aim at `deblurring' time- frequency representations. We focus on deformations generated by appropriate vector fields defined on time- frequency or time scale plane, and constructed on the basis of geometric and group-theoretical arguments. Such vector fields may be used as such for signal analysis (as quantities generalizing instantaneous frequency or group delay) in the framework of reassignment algorithms.

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Laurent Daudet, Marcela Morvidone, and Bruno Torresani "Time-frequency and time-scale vector fields for deforming time-frequency and time-scale representations", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); https://doi.org/10.1117/12.366763

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