• DocumentCode
    786238
  • Title

    Two-dimensional digital filters without overflow oscillations and instability due to finite word length

  • Author

    Tzafestas, Spyros G. ; Kanellakis, A. ; Theodorou, Nicolas J.

  • Author_Institution
    Dept. of Electr. Eng., Nat. Tech. Univ., of Athens, Greece
  • Volume
    40
  • Issue
    9
  • fYear
    1992
  • fDate
    9/1/1992 12:00:00 AM
  • Firstpage
    2311
  • Lastpage
    2317
  • Abstract
    New criteria for the absence of finite word-length effects, such as overflow oscillations and instability, in two-dimensional digital filters are presented. The criteria are formulated using the state-space representations and are based on results concerning the 2D Lyapunov equation. Several examples illustrate the theoretical results
  • Keywords
    Lyapunov methods; filtering and prediction theory; stability; state-space methods; two-dimensional digital filters; 2D Lyapunov equation; 2D digital filters; criteria; finite word-length effects; instability; overflow oscillations; state-space representations; two-dimensional digital filters; Arithmetic; Digital filters; Eigenvalues and eigenfunctions; Finite wordlength effects; Helium; Limit-cycles; Nonlinear equations; Nonlinear filters; Nonlinear systems; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.157230
  • Filename
    157230