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