posted on 2024-07-11, 13:27authored bySong Wang, Cishen Zhang
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 a computational procedure for obtaining the d-shift left and right inverses. A necessary and sufficient condition for stability of inverse filters is given.