Signal Analysis by Expansion Over the Squared Eigenfunctions of an Associated Schr\"odinger Operator
Mathematical Physics
2009-11-05 v1 math.MP
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 Schr\"odinger 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.
Keywords
Cite
@article{arxiv.0911.0836,
title = {Signal Analysis by Expansion Over the Squared Eigenfunctions of an Associated Schr\"odinger Operator},
author = {Taous-Meriem Laleg-Kirati and Emmanuelle Crépeau and Michel Sorine},
journal= {arXiv preprint arXiv:0911.0836},
year = {2009}
}