• DocumentCode
    315796
  • Title

    Correlation theory of a class of n-dimensional piecewise linear Markov systems

  • Author

    Götz, Marco ; Schwarz, Wolfgang

  • Author_Institution
    Inst. fur Grundlagen der Elektrotech. und Elektronik, Tech. Univ. Dresden, Germany
  • Volume
    2
  • fYear
    1997
  • fDate
    9-12 Jun 1997
  • Firstpage
    1049
  • Abstract
    In this paper the determination of the 1-th and 2-th order correlation functions of chaotic sequences is considered. A calculus for n-dimensional fully stretching piecewise linear systems is given where the spectral decomposition of the Frobenius-Perron-operator is used. It is shown that the reduction of the operator to finite dimensional subspaces is the core of the calculation method
  • Keywords
    Markov processes; chaos; correlation theory; piecewise-linear techniques; spectral analysis; Frobenius-Perron-operator; chaotic sequences; correlation theory; finite dimensional subspaces; fully stretching piecewise linear systems; n-dimensional piecewise linear Markov systems; spectral decomposition; Calculus; Chaotic communication; Equations; Piecewise linear techniques; Signal analysis; State-space methods; Vectors; Volume measurement;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1997. ISCAS '97., Proceedings of 1997 IEEE International Symposium on
  • Print_ISBN
    0-7803-3583-X
  • Type

    conf

  • DOI
    10.1109/ISCAS.1997.621920
  • Filename
    621920