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arXiv · 0911.0836

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

Taous-Meriem Laleg-Kirati·Emmanuelle Crépeau·Michel Sorine
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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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Taous-Meriem Laleg-Kirati, Emmanuelle Crépeau, Michel Sorine. 2009-11-04. Signal Analysis by Expansion Over the Squared Eigenfunctions of an Associated Schrödinger Operator. https://arxiv.org/abs/0911.0836

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