• DocumentCode
    971875
  • Title

    Properties for state-transition matrix of LPTV two-dimensional filter

  • Author

    McLernon, D.C.

  • Author_Institution
    Inst. of Integrated Inf. Syst., Leeds Univ., UK
  • Volume
    38
  • Issue
    25
  • fYear
    2002
  • fDate
    12/5/2002 12:00:00 AM
  • Firstpage
    1748
  • Lastpage
    1750
  • Abstract
    Some new properties are derived for the state-transition matrix (Akℓmn) of an linearly periodically time-varying (LPTV) 2D filter (period (M, N)) that are useful in the analysis of LPTV 2D state-space structures. In particular, a simple method is presented to decompose Akℓmn; and analytic expressions are derived for the z-transform of both Akℓmn, and its sub-sampled counterpart, AkℓmM+p,nN+q.
  • Keywords
    Z transforms; matrix decomposition; state-space methods; time-varying filters; two-dimensional digital filters; LPTV 2D filter; LPTV two-dimensional filter; Z-transform; linearly periodically time-varying 2D filter; matrix decomposition; state-space structures; state-transition matrix;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:20021152
  • Filename
    1137505