• DocumentCode
    2148336
  • Title

    Chaotic maps generating white noise

  • Author

    Goloubentsev, Alexander F. ; Anikin, Valery M. ; Barulina, Yuliya A.

  • Author_Institution
    Dept. of Comput. Phys., Saratov State Univ., Russia
  • Volume
    2
  • fYear
    2003
  • fDate
    20-22 Aug. 2003
  • Firstpage
    452
  • Abstract
    Some one-dimensional chaotic maps having delta-autocorrelation function are considered. New examples of exact endomophisms generating discrete white noise for a continuous range of a parameter are obtained. They may be treated as generalizations of the Chebyshev polynomial T2(x), x ε (-1,1) of the first kind. The using such difference equations may be preferable to construct chaotic generators of pseudorandom sequences.
  • Keywords
    Chebyshev approximation; chaos generators; difference equations; polynomials; random sequences; white noise; Chebyshev polynomial generalization; chaotic generators constructions; delta autocorrelation function; difference equations; discrete white noise generation; endomophisms; one dimensional chaotic maps; pseudorandom sequences; Autocorrelation; Chaos; Chebyshev approximation; Eigenvalues and eigenfunctions; Equations; Logistics; Physics computing; Polynomials; Random sequences; White noise;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Physics and Control, 2003. Proceedings. 2003 International Conference
  • Print_ISBN
    0-7803-7939-X
  • Type

    conf

  • DOI
    10.1109/PHYCON.2003.1236865
  • Filename
    1236865
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2148336