@inproceedings{b9acb55170694cd1b699e4b34d5f20ae,
title = "An immittance-type stability test for 2-D digital filters",
abstract = "The paper presents a 'tabular' stability test for 2-D linear shift invariant systems that is based on the stability test for 1-D discrete-time system polynomials introduced by Bistritz. The algorithm involves simple manipulations of 1-D and 2-D polynomial functions or corresponding and equivalent manipulations of vectors and matrices. The total computation cost is of order n6 (for a polynomial with variables of degrees are n1 = n2 = n) compared to typical costs that grow exponentially with n for previously reported 2-D tabular tests. The set of necessary and sufficient conditions for 2-D stability involves testing stability of a 1-D polynomial of degree n and testing positivity on an interval of a polynomial of degree 2n.",
author = "Yuval Bistritz",
note = "Publisher Copyright: {\textcopyright} 1995 IEEE.; null ; Conference date: 31-10-1994 Through 02-11-1994",
year = "1994",
doi = "10.1109/ACSSC.1994.471594",
language = "אנגלית",
series = "Conference Record - Asilomar Conference on Signals, Systems and Computers",
publisher = "IEEE Computer Society",
pages = "918--922",
booktitle = "Conference Record - 28th Asilomar Conference on Signals, Systems and Computers, ACSSC 1994",
address = "ארצות הברית",
}