• DocumentCode
    930705
  • Title

    LMI Approach to Stability of Direct Form Digital Filters Utilizing Single Saturation Overflow Nonlinearity

  • Author

    Singh, Vimal

  • Author_Institution
    Atilim Univ., Ankara
  • Volume
    54
  • Issue
    10
  • fYear
    2007
  • Firstpage
    878
  • Lastpage
    881
  • Abstract
    A criterion for the elimination of limit cycles in direct form digital filters utilizing single saturation overflow nonlinearity is presented. The criterion takes the form of linear matrix inequality and, hence, is computationally tractable. An example showing the effectiveness of the present criterion is given.
  • Keywords
    asymptotic stability; digital filters; limit cycles; linear matrix inequalities; LMI approach; computationally tractable; direct form digital filters; limit cycles; linear matrix inequality; single saturation overflow nonlinearity; stability; Asymptotic stability; Digital arithmetic; Digital filters; Finite wordlength effects; Fixed-point arithmetic; Helium; Limit-cycles; Linear matrix inequalities; Nonlinear systems; Quantization; Asymptotic stability; digital filters; finite wordlength effects; limit cycles; nonlinear systems;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Express Briefs, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1549-7747
  • Type

    jour

  • DOI
    10.1109/TCSII.2007.901627
  • Filename
    4349239