POLYNOMIAL ARRAY FOR F(Z1, Z2) ON VERTICAL-BAR-Z1-VERTICAL-BAR = 1 AND 2-D FILTER STABILITY TEST

In this correspondence a polynomial array for a complex polynomial F(z1, z2) on \z1\ = 1 is developed to overcome the difficulty in the implementation of some algebraic methods for the 2-D filter stability test. A simple and systematic algorithm to construct this polynomial array is given. The algorithm removes the requirement for conjugate polynomials (or their coefficients) in traditional procedures used for computing entries of a stability array. It is very easy to program regardless of orders n1 and n2 of the polynomial. A example is given to illustrate the proposed method.