Semi-classical signal analysis

被引:29
|
作者
Laleg-Kirati, Taous-Meriem [1 ]
Crepeau, Emmanuelle [2 ]
Sorine, Michel [3 ]
机构
[1] King Abduallah Univ Sci & Technol, Comp Elect & Math Sci & Engn Div CEMSE, Thuwal, Saudi Arabia
[2] Versailles St Quentin Yvelines Univ, F-78035 Versailles, France
[3] INRIA, Ctr Paris, F-78153 Le Chesnay, France
关键词
Signal analysis; Schrodinger operator; Semi-classical; Arterial blood pressure; KORTEWEG-DEVRIES EQUATION; SMALL DISPERSION LIMIT; FLOW;
D O I
10.1007/s00498-012-0091-1
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This 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 Schrodinger 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.
引用
收藏
页码:37 / 61
页数:25
相关论文
共 50 条
  • [11] Semi-classical analysis of the string theory cigar
    Jafferis, Daniel Louis
    Schneider, Elliot
    JOURNAL OF HIGH ENERGY PHYSICS, 2021, 2021 (12)
  • [12] SEMI-CLASSICAL ANALYSIS OF A RANDOM WALK ON A MANIFOLD
    Lebeau, Gilles
    Michel, Laurent
    ANNALS OF PROBABILITY, 2010, 38 (01): : 277 - 315
  • [13] Toward a detection approach of surge precursors using a semi-classical signal analysis method
    Deligant, Michael
    Pereira, Michael
    Laleg-Kirati, Taous-Meriem
    Bakir, Farid
    Khelladi, Sofiane
    EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (06):
  • [14] Semi-classical analysis of the string theory cigar
    Daniel Louis Jafferis
    Elliot Schneider
    Journal of High Energy Physics, 2021
  • [15] SEMI-CLASSICAL METHOD FOR DYNAMICAL LEED ANALYSIS
    JAUHO, AP
    MERRILL, RP
    WILKINS, JW
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1979, 24 (03): : 469 - 469
  • [16] Semi-classical analysis and pseudo-spectra
    Davies, EB
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2005, 216 (01) : 153 - 187
  • [17] Automatic Detection of Epileptiform EEG Discharges based on the Semi-Classical Signal Analysis (SCSA) method
    Li, Peihao
    Piliouras, Evangelos
    Poghosyan, Vahe
    AlHameed, Majed
    Laleg-Kirati, Taous-Meriem
    2021 43RD ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE & BIOLOGY SOCIETY (EMBC), 2021, : 928 - 931
  • [18] Semi-classical Green functions
    Anikin, A.
    Dobrokhotov, S.
    Nazaikinskii, V.
    Rouleux, M.
    2018 DAYS ON DIFFRACTION (DD), 2018, : 17 - 23
  • [19] Semi-classical dispersive estimates
    Fernando Cardoso
    Claudio Cuevas
    Georgi Vodev
    Mathematische Zeitschrift, 2014, 278 : 251 - 277
  • [20] SEMI-CLASSICAL ANALYSIS OF WEAKLY INELASTIC MOLECULAR COLLISIONS
    CHILD, MS
    MOLECULAR PHYSICS, 1964, 8 (06) : 517 - &