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AbstractThis study introduces a new signal analysis method, based on a semi-classical 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. © 2012 Springer-Verlag London Limited.
CitationLaleg-Kirati T-M, Crépeau E, Sorine M (2012) Semi-classical signal analysis. Mathematics of Control, Signals, and Systems 25: 37–61. Available: http://dx.doi.org/10.1007/s00498-012-0091-1.