• DocumentCode
    827025
  • Title

    Tighter limit cycle bounds for digital filters

  • Author

    Campo, Jose David Osés-del ; Cruz-Roldán, Fernando ; Utrilla-Manso, Manuel

  • Author_Institution
    Dept. of Teoria de la Senal y Comunicaciones, Univ. de Alcala, Alcala De Henares, Spain
  • Volume
    13
  • Issue
    3
  • fYear
    2006
  • fDate
    3/1/2006 12:00:00 AM
  • Firstpage
    149
  • Lastpage
    152
  • Abstract
    A procedure for obtaining tighter bounds on zero-input limit cycles is presented. The proposed new bounds are applicable to digital filters of arbitrary order, described in state-space formulation and implemented with fixed-point arithmetic. For the most part, we obtain smaller bounds than those reported in the literature, using a computationally efficient algorithm that is easy to implement and has a comparatively short execution time. Simulation results show the validity of the proposed theory.
  • Keywords
    digital filters; fixed point arithmetic; limit cycles; state-space methods; digital filter; fixed-point arithmetic; state-space formulation; zero-input limit cycle; Asymptotic stability; Computational modeling; Convergence; Degradation; Digital filters; Fixed-point arithmetic; Limit-cycles; Quantization; Search methods; Testing; Bounds; digital filters; fixed-point; limit cycle;
  • fLanguage
    English
  • Journal_Title
    Signal Processing Letters, IEEE
  • Publisher
    ieee
  • ISSN
    1070-9908
  • Type

    jour

  • DOI
    10.1109/LSP.2005.862606
  • Filename
    1593624