Stability criterion forN-dimensional digital filters

1 June 1973

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 18 (3) , 284-286
https://doi.org/10.1109/tac.1973.1100290

Abstract

The stability requirement for one-dimensional recursive filters is well known. A stability theorem for n -dimensional recursive filters is proved wherein the denominator of the filter is an n -dimensional power series. A Tauberian theorem due to Wiener yields the desired result in the general case.

Keywords

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