• DocumentCode
    1346205
  • Title

    Model reduction of 2-D separable-denominator transfer functions via quasi-Kalman decomposition

  • Author

    Diab, M. ; Sreeram, V. ; Liu, W.Q.

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
  • Volume
    145
  • Issue
    1
  • fYear
    1998
  • fDate
    2/1/1998 12:00:00 AM
  • Firstpage
    13
  • Lastpage
    18
  • Abstract
    A model reduction algorithm for causal recursive separable denominator (CRSD) 2-D digital systems is proposed. The algorithm is based on a quasi-Kalman decomposition (QKD) method for 1-D systems. The proposed method yields horizontal and vertical sets of finite Gramians. In each set the finite controllability and observability Gramians are equal and diagonal. An example is given to illustrate the method
  • Keywords
    controllability; filtering theory; matrix decomposition; multidimensional systems; observability; reduced order systems; state-space methods; transfer functions; two-dimensional digital filters; 2D digital systems; 2D separable-denominator transfer functions; causal recursive separable denominator; controllability; finite Gramians; model reduction algorithm; observability; quasi-Kalman decomposition;
  • fLanguage
    English
  • Journal_Title
    Circuits, Devices and Systems, IEE Proceedings -
  • Publisher
    iet
  • ISSN
    1350-2409
  • Type

    jour

  • DOI
    10.1049/ip-cds:19981653
  • Filename
    663384