• DocumentCode
    695700
  • Title

    Phase space analysis of the harmonic oscillatorwith Lévy noise: Spectral measure and deviation from ellipticity

  • Author

    Zozor, Steeve ; Vignat, Christophe

  • Author_Institution
    Dept. Image et Signal, GIPSA-Lab., St. Martin d´Hères, France
  • fYear
    2011
  • fDate
    Aug. 29 2011-Sept. 2 2011
  • Firstpage
    2239
  • Lastpage
    2243
  • Abstract
    We show that the location and velocity of the harmonic oscillator with Lévy-stable noise are mutually Lévy-stable distributed. We give explicitly the associated spectral measure, exhibiting both the non independence and the non ellipticity of the location-velocity couple. We then propose measures of deviation from ellipticity.
  • Keywords
    harmonic oscillators; Levy-stable noise; harmonic oscillator; location-velocity couple; phase space analysis; spectral measure; Approximation methods; Density measurement; Harmonic analysis; Joints; Noise; Oscillators; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Signal Processing Conference, 2011 19th European
  • Conference_Location
    Barcelona
  • ISSN
    2076-1465
  • Type

    conf

  • Filename
    7074250
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=695700