On semi-classical questions related to signal analysis

Handle URI:
http://hdl.handle.net/10754/561951
Title:
On semi-classical questions related to signal analysis
Authors:
Helffer, Bernard; Laleg-Kirati, Taous-Meriem ( 0000-0001-5944-0121 )
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program
Publisher:
IOS Press
Journal:
Asymptotic Analysis
Issue Date:
1-Dec-2011
DOI:
10.3233/ASY-2011-1054
Type:
Article
ISSN:
09217134
Additional Links:
http://arxiv.org/abs/arXiv:1009.5372v2
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorHelffer, Bernarden
dc.contributor.authorLaleg-Kirati, Taous-Meriemen
dc.date.accessioned2015-08-03T09:34:50Zen
dc.date.available2015-08-03T09:34:50Zen
dc.date.issued2011-12-01en
dc.identifier.issn09217134en
dc.identifier.doi10.3233/ASY-2011-1054en
dc.identifier.urihttp://hdl.handle.net/10754/561951en
dc.description.abstractThis 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.en
dc.publisherIOS Pressen
dc.relation.urlhttp://arxiv.org/abs/arXiv:1009.5372v2en
dc.subjectarterial blood pressureen
dc.subjectSchrödinger operatoren
dc.subjectsemi-classical analysisen
dc.subjectsignal analysisen
dc.titleOn semi-classical questions related to signal analysisen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.identifier.journalAsymptotic Analysisen
dc.contributor.institutionDépartement de Mathématiques, Université Paris Sud, Orsay, Franceen
dc.identifier.arxividarXiv:1009.5372en
kaust.authorLaleg-Kirati, Taous-Meriemen
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