TY - JOUR
T1 - Stability Test for Two-Dimensional Recursive Filters
AU - Anderson, Brian D.O.
AU - Jury, Eliahu I.
PY - 1973/8
Y1 - 1973/8
N2 - For deciding the stability of a two-dimensional filter, it is of interest to determine whether or not a prescribed polynomial in the variables Z1 and z2 is nonzero in the region |Z1| < 1 ∩ |z2| < 1. A new procedure for testing for this property is given, which does not involve the use of bilinear tranformations. Key parts of the test involve the construction of a Schur-Cohn matrix and the checking for positivity on the unit circle of a set of self-inversive polynomials.
AB - For deciding the stability of a two-dimensional filter, it is of interest to determine whether or not a prescribed polynomial in the variables Z1 and z2 is nonzero in the region |Z1| < 1 ∩ |z2| < 1. A new procedure for testing for this property is given, which does not involve the use of bilinear tranformations. Key parts of the test involve the construction of a Schur-Cohn matrix and the checking for positivity on the unit circle of a set of self-inversive polynomials.
UR - http://www.scopus.com/inward/record.url?scp=0015651251&partnerID=8YFLogxK
U2 - 10.1109/TAU.1973.1162491
DO - 10.1109/TAU.1973.1162491
M3 - Article
AN - SCOPUS:0015651251
SN - 0018-9278
VL - 21
SP - 366
EP - 372
JO - IEEE Transactions on Audio and Electroacoustics
JF - IEEE Transactions on Audio and Electroacoustics
IS - 4
ER -