Time-frequency filtering based on spectrogram zeros

Abstract : For a proper choice of the analysis window, a short-time Fourier transform is known to be completely characterized by its zeros, which coincide with those of the associated spectrogram. A simplified representation of the time-frequency structure of a signal can therefore be given by the Delaunay triangulation attached to spectrogram zeros. In the case of multicomponent AM-FM signals embedded in white Gaussian noise, it turns out that each time-frequency domain attached to a given component can ve viewed as the union of adjacent Delaunay triangles whose edge length is an outlier as compared to the distribution in noise-only regions. Identifying such domains offers a new way of disentangling the different components in the time-frequency plane, as well as of reconstructing the corresponding waveforms.
Type de document :
Pré-publication, Document de travail
2015
Liste complète des métadonnées

https://hal-ens-lyon.archives-ouvertes.fr/ensl-01121522
Contributeur : Patrick Flandrin <>
Soumis le : lundi 2 mars 2015 - 09:14:45
Dernière modification le : jeudi 19 avril 2018 - 14:54:04
Document(s) archivé(s) le : mardi 2 juin 2015 - 09:31:47

Fichier

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

Identifiants

  • HAL Id : ensl-01121522, version 1

Collections

Citation

Patrick Flandrin. Time-frequency filtering based on spectrogram zeros. 2015. 〈ensl-01121522〉

Partager

Métriques

Consultations de la notice

659

Téléchargements de fichiers

871