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
fDate :
10/1/2000 12:00:00 AM
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;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
