<title>Time-frequency and time-scale vector fields for deforming time-frequency and time-scale representations</title>
Author(s) -
Laurent Daudet,
Marcela Morvidone,
Bruno Torrésani
Publication year - 1999
Publication title -
proceedings of spie, the international society for optical engineering/proceedings of spie
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.192
H-Index - 176
eISSN - 1996-756X
pISSN - 0277-786X
DOI - 10.1117/12.366763
Subject(s) - time–frequency analysis , time–frequency representation , deblurring , scale (ratio) , basis (linear algebra) , vector field , algorithm , computer science , focus (optics) , field (mathematics) , mathematics , geometry , artificial intelligence , physics , pure mathematics , telecommunications , image processing , image (mathematics) , optics , quantum mechanics , image restoration , radar
International audienceWe study local deformations of time-frequency and timescale 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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