On semi-classical questions related to signal analysis

Bernard Helffer, Taous-Meriem Laleg-Kirati

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

This study explores the reconstruction of a signal using spectral quantities associated with some self-adjoint realization of an h-dependent Schrödinger operator -h2(d2/dx2)-y(x), h>0, when the parameter h tends to 0. Theoretical results in semi-classical analysis are proved. Some numerical results are also presented. We first consider as a toy model the sech2 function. Then we study a real signal given by arterial blood pressure measurements. This approach seems to be very promising in signal analysis. Indeed it provides new spectral quantities that can give relevant information on some signals as it is the case for arterial blood pressure signal. © 2011 - IOS Press and the authors. All rights reserved.
Original languageEnglish (US)
Pages (from-to)125-144
Number of pages20
JournalAsymptotic Analysis
Volume75
Issue number3-4
DOIs
StatePublished - Dec 1 2011

ASJC Scopus subject areas

  • Mathematics(all)

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