• DocumentCode
    1184226
  • Title

    A note on the 2-D partial fraction expansion

  • Author

    Agathoklis, P. ; Jury, E.I. ; Mansour, M.

  • Volume
    27
  • Issue
    8
  • fYear
    1980
  • fDate
    8/1/1980 12:00:00 AM
  • Firstpage
    719
  • Lastpage
    721
  • Abstract
    In this note it is shown that the 2-D composition frac{A(z_1,z_2)A(z_{1}^{-1},z_{2}^{-1})} {B(z_1,z_2)B(z_{1}^{-1},z_{2}^{-1})} = frac{P(z_1,z_2)}{B(z_1,z_2)} + frac{P(z_{1}^{-1},z_{2}^{-1})}{B(z_{1}^{-1},z_{2}^{-1})} contrary to the 1-D case, does not exist in general. Conditions for the existence of such a decomposition are obtained and applied to two examples.
  • Keywords
    Multivariable rational functions; Partial fraction expansions; Automatic control; Communication system control; Difference equations; Digital control; Digital filters; Filtering; Industrial electronics; Integral equations; Laboratories; Quantization;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1980.1084873
  • Filename
    1084873
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1184226