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Semi-classical signal analysis

Abstract : This study introduces a new signal analysis method, based on a semiclassical approach. The main idea in this method 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.
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https://hal.inria.fr/hal-00844340
Contributor : Michel Sorine <>
Submitted on : Monday, July 15, 2013 - 9:38:29 AM
Last modification on : Thursday, June 17, 2021 - 1:54:06 PM
Long-term archiving on: : Wednesday, April 5, 2017 - 11:00:20 AM

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Taous-Meriem Laleg-Kirati, Emmanuelle Crépeau, Michel Sorine. Semi-classical signal analysis. Mathematics of Control, Signals, and Systems, Springer Verlag, 2013, 25 (1), pp.37-61. ⟨10.1007/s00498-012-0091-1⟩. ⟨hal-00844340⟩

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