Title :

A correspondence between zeros of time-frequency transforms and Gaussian analytic functions

Author(s) :

Bardenet, Remi [Auteur]
Centre National de la Recherche Scientifique [CNRS]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Chainais, Pierre [Auteur]
Centrale Lille
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Flamant, Julien [Auteur]
Centre de Recherche en Automatique de Nancy [CRAN]
Hardy, Adrien [Auteur]
Méthodes quantitatives pour les modèles aléatoires de la physique [MEPHYSTO-POST]
Laboratoire Paul Painlevé - UMR 8524 [LPP]

Conference title :

13th International Conference on Sampling Theory and Applications, SampTA 2019

City :

Bordeaux

Country :

France

Start date of the conference :

2019-08-08

English keyword(s) :

time-frequency/time-scale analysis
spectrogram zeros
point process
white noise

HAL domain(s) :

Informatique [cs]/Traitement du signal et de l'image [eess.SP]
Mathématiques [math]/Probabilités [math.PR]
Mathématiques [math]/Statistiques [math.ST]

English abstract : [en]

In this paper, we survey our joint work on the point processes formed by the zeros of time-frequency transforms of Gaussian white noises [1], [2]. Unlike both references, we present the work from the bottom up, stating ...
Show more >In this paper, we survey our joint work on the point processes formed by the zeros of time-frequency transforms of Gaussian white noises [1], [2]. Unlike both references, we present the work from the bottom up, stating results in the order they came to us and commenting what we were trying to achieve. The route to our more general results in [2] was a sort of ping pong game between signal processing, harmonic analysis, and probability. We hope that narrating this game gives additional insight into the more technical aspects of the two references. We conclude with a number of open problems that we believe are relevant to the SampTA community.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

ANR Project :

Inférence bayésienne à ressources limitées - données massives et modèles coûteux

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL