155 articles – 1965 references  [version française]
HAL: ensl-00684723, version 1

Detailed view  Export this paper
European Signal Processing Conference (EUSIPCO), 2012, Bucharest : Romania
Uncertainty and Spectrogram Geometry
Patrick Flandrin1, E. Chassande-Mottin2, François Auger3
(2013)

Ultimate possibilities of localization for time-frequency representations are first reviewed from a joint perspective, evidencing that Heisenberg-type pointwise limits are not exclusive of sharp localization along trajectories in the plane. Spectrogram reassignment offers such a possibility and, in order to revisit its connection with uncertainty, geometrical properties of spectrograms are statistically investigated in the generic case of white Gaussian noise. Based on Voronoi tessellations and Delaunay triangulations attached to extrema, it is shown that, in a first approximation, local energy ''patches'' are distributed according to a randomized hexagonal lattice with a typical scale within a factor of a few that of minimum uncertainty Gabor logons.
1:  Phys-ENS - Laboratoire de Physique de l'ENS Lyon
2:  APC - UMR 7164 - AstroParticule et Cosmologie
3:  IREENA - Institut de Recherche en Electrotechnique et Electronique de Nantes Atlantique
APC - ADAMIS
Computer Science/Signal and Image Processing

Engineering Sciences/Signal and Image processing
Time-frequency – uncertainty – spectrogram – reassignment
Attached file list to this document: 
PDF
EUSIPCO12vdef.pdf(174.1 KB)