On semi-Classical Questions Related to Signal Analysis - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2010

On semi-Classical Questions Related to Signal Analysis

Résumé

This study explores the reconstruction of a signal using spectral quantities associated with some self-adjoint realization of an h-dependent Schrödinger operator when the parameter h tends to 0. Theoretical results in semi-classical analysis are proved. Some numerical results are also presented. We first consider as a toy model the sech^2 function. Then we study a real signal given by arterial blood pressure measurements. This approach seems to be very promising in signal analysis. Indeed it provides new spectral quantities that can give relevant information on some signals as it is the case for arterial blood pressure signal.
Fichier principal
Vignette du fichier
HelfferANDLaleg.pdf (433.24 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

inria-00520773 , version 1 (24-09-2010)
inria-00520773 , version 2 (13-10-2010)

Identifiants

  • HAL Id : inria-00520773 , version 2
  • ARXIV : 1009.5372

Citer

Taous-Meriem Laleg-Kirati, Bernard Helffer. On semi-Classical Questions Related to Signal Analysis. 2010. ⟨inria-00520773v2⟩
204 Consultations
309 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More