• DocumentCode
    855553
  • Title

    BIBO stability in 3-D digital filters

  • Author

    Roytman, Leonid M. ; Potievsky, Vadim F.

  • Author_Institution
    Dept. of Electr. Eng., City Coll. of the City Univ. of New York, NY, USA
  • Volume
    50
  • Issue
    12
  • fYear
    2003
  • Firstpage
    1574
  • Lastpage
    1576
  • Abstract
    In this brief, we consider the problem of binary input binary output stability of three-dimensional linear shift-invariant filters, in the presence of nonessential singularities of the second kind. We derive necessary and sufficient conditions for l1 and l2 stabilities of a function G=P/Qn, where P and Q are polynomials in the complex variable z.
  • Keywords
    Z transforms; circuit stability; multidimensional digital filters; polynomials; rational functions; binary input binary output stability; complex variable polynomials; digital filters; nonessential singularities; quarter-plane causal filters; rational Z-transform transfer function; three-dimensional linear shift-invariant filters; Circuits; Cities and towns; Digital filters; Nonlinear filters; Polynomials; Stability analysis; Sufficient conditions; Transfer functions;
  • 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/TCSI.2003.819823
  • Filename
    1257463
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=855553