• DocumentCode
    3064993
  • Title

    2-D state-space realizations with fewer multipliers and invariant norms

  • Author

    Aboulnasr, T.T. ; Fahmy, M.M.

  • Author_Institution
    Queen´´s University, Kingston, Ontario, Canada
  • Volume
    8
  • fYear
    1983
  • fDate
    30407
  • Firstpage
    415
  • Lastpage
    418
  • Abstract
    A similarity transformation that reduces the number of multipliers in a given realization is presented. The transformation is orthogonal and thus preserves \\parallel A \\parallel . This guarantees that overflow stability is not sacrificed for fewer nonzero coefficients. It is shown that this transformation does not affect the sensitivity of the transfer function to variations in its coefficients. An example of a general 1-Q second order filter is given.
  • Keywords
    Eigenvalues and eigenfunctions; Matrix decomposition; Nonlinear equations; Singular value decomposition;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP '83.
  • Type

    conf

  • DOI
    10.1109/ICASSP.1983.1172117
  • Filename
    1172117