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    On semi-classical questions related to signal analysis

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    Type
    Article
    Authors
    Helffer, Bernard
    Laleg-Kirati, Taous-Meriem cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computational Bioscience Research Center (CBRC)
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Electrical Engineering Program
    Date
    2011-12-01
    Permanent link to this record
    http://hdl.handle.net/10754/561951
    
    Metadata
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    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.
    Publisher
    IOS Press
    Journal
    Asymptotic Analysis
    DOI
    10.3233/ASY-2011-1054
    arXiv
    1009.5372
    Additional Links
    http://arxiv.org/abs/arXiv:1009.5372v2
    ae974a485f413a2113503eed53cd6c53
    10.3233/ASY-2011-1054
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Electrical Engineering Program; Computational Bioscience Research Center (CBRC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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