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Invertibility and inverses of linear time-varying digital filters

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2 Author(s)
Song Wang ; Dept. of Electr. & Electron. Eng., Melbourne Univ., Parkville, Vic., Australia ; 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 computational procedure for obtaining the d-shift left and right inverses. A necessary and sufficient condition for stability of inverse filters is given

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Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on  (Volume:47 ,  Issue: 10 )