Stability test for 2-D LSI systems via a unit circle test for complex polynomials

Yuval Bistritz*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations

Abstract

A new algebraic test for two-dimensional digital filters is developed based on the author's stability test for one-dimensional discrete system polynomials with complex coefficients. The new method consists of an array of polynomials and an accompanying set of necessary and sufficient conditions for stability. Programming the construction of the array is simple and the execution involves a lower count of computation then reported for previous tests. Testing the stability conditions needs just a single 'positivity test' of the last polynomial in the array plus standard 1-D stability conditions. A larger set of conditions necessary for stability that may be useful in other modes of application is also provided.

Original languageEnglish
Pages (from-to)789-792
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
Volume2
StatePublished - 1995
EventProceedings of the 1995 IEEE International Symposium on Circuits and Systems-ISCAS 95. Part 3 (of 3) - Seattle, WA, USA
Duration: 30 Apr 19953 May 1995

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