Signal Analysis by Expansion Over the Squared Eigenfunctions of an Associated Schrödinger Operator

Taous-Meriem Laleg-Kirati 1, 2, * Emmanuelle Crépeau 2 Michel Sorine 2, 3
* Corresponding author
1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
Abstract : This article introduces a new signal analysis method. The main idea consists in interpreting a pulse-shaped signal, after multiplying it by a positive parameter, as a potential of a Schrödinger operator and representing this signal with the discrete spectrum of this operator. We present some results obtained in the analysis of the arterial blood pressure with this method.
Complete list of metadatas

Cited literature [6 references]  Display  Hide  Download

https://hal.inria.fr/inria-00429507
Contributor : Taous-Meriem Laleg-Kirati <>
Submitted on : Tuesday, November 3, 2009 - 2:09:54 PM
Last modification on : Thursday, January 16, 2020 - 3:20:02 PM
Long-term archiving on: Thursday, June 17, 2010 - 5:55:30 PM

Files

Laleg-Crepeau-Sorine.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00429507, version 1
  • ARXIV : 0911.0836

Citation

Taous-Meriem Laleg-Kirati, Emmanuelle Crépeau, Michel Sorine. Signal Analysis by Expansion Over the Squared Eigenfunctions of an Associated Schrödinger Operator. WAVES, Jun 2009, PAU, France. ⟨inria-00429507⟩

Share

Metrics

Record views

818

Files downloads

251