• DocumentCode
    1395068
  • Title

    Invertibility and inverses of linear time-varying digital filters

  • Author

    Wang, Song ; Zhang, Cishen

  • Author_Institution
    Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia
  • Volume
    47
  • Issue
    10
  • fYear
    2000
  • fDate
    10/1/2000 12:00:00 AM
  • Firstpage
    1126
  • Lastpage
    1131
  • Abstract
    This brief studies invertibility and inverses of linear time-varying digital filters in the form of ARMA equation with time-varying dynamic order and relative degree. It presents a necessary and sufficient condition for the d-shift invertibility of linear time-varying filters and computational procedure for obtaining the d-shift left and right inverses. A necessary and sufficient condition for stability of inverse filters is given
  • Keywords
    autoregressive moving average processes; circuit stability; digital filters; time-varying filters; ARMA equation; computational procedure; d-shift invertibility; d-shift left inverses; d-shift right inverses; linear time-varying digital filters; stability; time-varying dynamic order; Digital filters; Digital signal processing; Discrete Fourier transforms; Equations; Multidimensional signal processing; Multidimensional systems; Nonlinear filters; Signal processing algorithms; Speech processing; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7130
  • Type

    jour

  • DOI
    10.1109/82.877158
  • Filename
    877158