Abstract
For deciding the stability of a two-dimensional filter, it is of interest to determine whether or not a prescribed polynomial in the variables z 1 and z 2 is nonzero in the region |z_{1}| \leq 1 \cap |z_{2}| \leq 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.
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