TY - GEN
T1 - Stability testing of 2-D digital system polynomials using a modified unit circle test for 1-D complex polynomials
AU - Bistritz, Yuval
N1 - Publisher Copyright:
© 1995 IEEE.
PY - 1995
Y1 - 1995
N2 - A new algebraic test for determining whether all zeros of a two-variable (two-dimensional, 2-D) polynomial reside in the interior of a unit bi-circle is developed. The method provides a stability test for 2-D digital filters and systems. It is based on a modified unit circle zero location test for one variable polynomials with complex coefficients. The test comprises a 2-D table in the form of a sequence of centro-symmetric matrices and an accompanying set of necessary and sufficient conditions posed on it. The sequence is constructed by a three-term recursion of matrices or two variable polynomials. The set of necessary and sufficient conditions, at its minimal setting, consists of only one positivity test plus a standard 1-D stability test. Additional useful stability conditions that 2-D stability implies but that need not be checked to prove 2-D stability are also included.
AB - A new algebraic test for determining whether all zeros of a two-variable (two-dimensional, 2-D) polynomial reside in the interior of a unit bi-circle is developed. The method provides a stability test for 2-D digital filters and systems. It is based on a modified unit circle zero location test for one variable polynomials with complex coefficients. The test comprises a 2-D table in the form of a sequence of centro-symmetric matrices and an accompanying set of necessary and sufficient conditions posed on it. The sequence is constructed by a three-term recursion of matrices or two variable polynomials. The set of necessary and sufficient conditions, at its minimal setting, consists of only one positivity test plus a standard 1-D stability test. Additional useful stability conditions that 2-D stability implies but that need not be checked to prove 2-D stability are also included.
UR - http://www.scopus.com/inward/record.url?scp=0004477918&partnerID=8YFLogxK
U2 - 10.1109/ACSSC.1995.540622
DO - 10.1109/ACSSC.1995.540622
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AN - SCOPUS:0004477918
T3 - Conference Record - Asilomar Conference on Signals, Systems and Computers
SP - 617
EP - 621
BT - Conference Record of the 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995
A2 - Singh, Avtar
PB - IEEE Computer Society
T2 - 29th Asilomar Conference on Signals, Systems and Computers, ACSSC 1995
Y2 - 30 October 1995 through 1 November 1995
ER -