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Invertibility and inverses of linear time-varying digital filters

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posted on 2024-07-11, 13:27 authored by Song 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.

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ISSN

1057-7130

Journal title

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volume

47

Issue

10

Pagination

5 pp

Publisher

IEEE

Copyright statement

Copyright © 2000 IEEE. The published version is reproduced in accordance with the copyright policy of the publisher. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

Language

eng

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