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.
Publié le : 1999-07-04
Classification:
Time-Frequency Analysis,
Gabor transform,
Wavelets,
instantaneous frequency,
group delay,
reas-signment,
group representation,
Bargmann space,
[MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA],
[INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing
@article{hal-01300333,
author = {Daudet, Laurent and Morvidone, Marcela and Torr\'esani, Bruno},
title = {Time-frequency and time-scale vector fields for deforming time-frequency and time-scale representations},
journal = {HAL},
volume = {1999},
number = {0},
year = {1999},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01300333}
}
Daudet, Laurent; Morvidone, Marcela; Torrésani, Bruno. Time-frequency and time-scale vector fields for deforming time-frequency and time-scale representations. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01300333/