• DocumentCode
    341778
  • Title

    A necessary condition for Schur stability of 2D polynomials [digital filters]

  • Author

    Xiao, Yang ; Unbehauen, Rolf ; Du, Xiyu

  • Author_Institution
    Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China
  • Volume
    3
  • fYear
    1999
  • fDate
    36342
  • Firstpage
    439
  • Abstract
    Based on the phase frequency property of 2D polynomials, a necessary condition for Schur stability of 2D polynomials has been obtained. We give a lower bound that the derivative of the phase frequency function of 2D Schur polynomials must satisfy. The result is extended to the classical 2D polynomials without zeros inside the unit bidisk. An illustrative example is given
  • Keywords
    circuit stability; poles and zeros; polynomials; two-dimensional digital filters; 2D polynomials; Schur stability; digital filters; phase frequency property; unit bidisk; zeros; Bismuth; Digital filters; Frequency domain analysis; Information science; Polynomials; Stability analysis; Sufficient conditions; Testing; Transfer functions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
  • Conference_Location
    Orlando, FL
  • Print_ISBN
    0-7803-5471-0
  • Type

    conf

  • DOI
    10.1109/ISCAS.1999.778879
  • Filename
    778879