• DocumentCode
    1334401
  • Title

    Stability and absence of overflow oscillations for 2-D discrete-time systems

  • Author

    Xiao, Chengshan ; Hill, David J.

  • Author_Institution
    Dept. of Electr. Eng., Sydney Univ., NSW, Australia
  • Volume
    44
  • Issue
    8
  • fYear
    1996
  • fDate
    8/1/1996 12:00:00 AM
  • Firstpage
    2108
  • Lastpage
    2110
  • Abstract
    It is shown that a 2-D linear time-invariant discrete-time system could be bounded-input bounded-output (BIBO) unstable even if the 2-D system, which is implemented by finite word length, is free of overflow oscillations with zero input, according to a previous criterion for the absence of overflow oscillations in 2-D discrete-time systems. An improved criterion is presented to ensure both stability properties
  • Keywords
    discrete time systems; filtering theory; linear systems; oscillations; stability; two-dimensional digital filters; 2D discrete-time systems; 2D linear time-invariant system; BIBO unstable system; bounded-input bounded-output; filtering theory; finite word length; overflow oscillations; stability properties; zero input; Dynamic range; Finite wordlength effects; Limit-cycles; Linear systems; Nonlinear systems; Polynomials; Signal processing; Stability criteria; Sufficient conditions; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1053-587X
  • Type

    jour

  • DOI
    10.1109/78.533735
  • Filename
    533735