Semi-classical signal analysis

TL;DR

This paper presents SCSA, a novel semi-classical signal analysis method that interprets signals as Schrödinger potentials and uses spectral properties for analysis, demonstrated on blood pressure waveforms.

Contribution

The paper introduces SCSA, a new semi-classical approach for signal analysis based on spectral analysis of Schrödinger operators, with initial numerical results.

Findings

Effective analysis of arterial blood pressure waveforms

Spectral properties provide insightful signal features

First results show promise for biomedical applications

Abstract

This study introduces a new signal analysis method called SCSA, based on a semi-classical approach. The main idea in the SCSA is to interpret a pulse-shaped signal as a potential of a Schr\"odinger operator and then to use the discrete spectrum of this operator for the analysis of the signal. We present some numerical examples and the first results obtained with this method on the analysis of arterial blood pressure waveforms.