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