• DocumentCode
    811834
  • Title

    Stability criterion for N -dimensional digital filters

  • Author

    Justice, J.H. ; Shanks, J.L.

  • Author_Institution
    University of Tulsa, Tulsa, OK, USA
  • Volume
    18
  • Issue
    3
  • fYear
    1973
  • fDate
    6/1/1973 12:00:00 AM
  • Firstpage
    284
  • Lastpage
    286
  • Abstract
    The stability requirement for one-dimensional recursive filters is well known. A stability theorem for n -dimensional recursive filters is proved wherein the denominator of the filter is an n -dimensional power series. A Tauberian theorem due to Wiener yields the desired result in the general case.
  • Keywords
    Multidimensional digital filters; Recursive digital filter stability; Convolution; Digital filters; Stability criteria; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1973.1100290
  • Filename
    1100290