Uncertainty and Spectrogram Geometry

Abstract : 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.
Type de document :
Communication dans un congrès
European Signal Processing Conference (EUSIPCO), 2012, Bucharest, Romania. IEEE, pp.794-798, 2013
Liste complète des métadonnées

Littérature citée [11 références]  Voir  Masquer  Télécharger

https://hal-ens-lyon.archives-ouvertes.fr/ensl-00684723
Contributeur : Patrick Flandrin <>
Soumis le : mardi 3 avril 2012 - 08:55:10
Dernière modification le : mardi 16 janvier 2018 - 16:25:38
Document(s) archivé(s) le : mercredi 4 juillet 2012 - 02:22:27

Fichier

EUSIPCO12vdef.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : ensl-00684723, version 1

Collections

Citation

Patrick Flandrin, E. Chassande-Mottin, François Auger. Uncertainty and Spectrogram Geometry. European Signal Processing Conference (EUSIPCO), 2012, Bucharest, Romania. IEEE, pp.794-798, 2013. 〈ensl-00684723〉

Partager

Métriques

Consultations de la notice

310

Téléchargements de fichiers

117