Semi-classical signal analysis

Taous-Meriem Laleg-Kirati (1) , Emmanuelle Crépeau (2) , Michel Sorine (3)

1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
2 LMV - Laboratoire de Mathématiques de Versailles
3 SISYPHE - SIgnals and SYstems in PHysiology & Engineering

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 Schrödinger 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.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Traitement du signal et de l'image [eess.SP]; Cardiologie et système cardiovasculaire; Traitement du signal et de l'image [eess.SP]

Taous-Meriem Laleg-Kirati, Emmanuelle Crépeau, Michel Sorine. Semi-classical signal analysis. 2010. ⟨hal-00844340v1⟩