• DocumentCode
    1539621
  • Title

    Periodic trajectories in piecewise-linear maps

  • Author

    Mitrovski, C.D.

  • Author_Institution
    Tech. Fac., Sv. Kliment Ohridski Unov., Bitola
  • Volume
    48
  • Issue
    10
  • fYear
    2001
  • fDate
    10/1/2001 12:00:00 AM
  • Firstpage
    1244
  • Lastpage
    1246
  • Abstract
    In this paper, we propose a general approach for finding periodic trajectories in piecewise-linear maps. The procedure is based on the decomposition of the initial state via the eigenvectors of their Jacobian and it is applied to digital filters with two´s complement overflow and ΣΔ modulators
  • Keywords
    digital filters; eigenvalues and eigenfunctions; piecewise linear techniques; sequences; sigma-delta modulation; ΣΔ modulators; Jacobian; digital filters; eigenvectors; initial state decomposition; periodic trajectories; piecewise-linear maps; sigma-delta modulators; two´s complement overflow; Arithmetic; Chaotic communication; Circuits; Digital filters; Digital modulation; Jacobian matrices; Orbits; Piecewise linear techniques; Research initiatives; Trajectory;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.956021
  • Filename
    956021
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1539621