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

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

2009-11-04

arxiv.org/abs/0911.0836v1

WAVES, PAU : France (2009)

Physics

Mathematical Physics

Scientific paper

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.

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