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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.
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https://hal.inria.fr/inria-00429507
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Submitted on : Tuesday, November 3, 2009 - 2:09:54 PM
Last modification on : Friday, January 21, 2022 - 3:14:32 AM
Long-term archiving on: : Thursday, June 17, 2010 - 5:55:30 PM

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

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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⟩

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