Polynomial array for F(z/sub 1/, z/sub 2/) on mod z/sub 1/ mod =1 and 2-D filter stability test

A polynomial array for a complex polynomial F(z/sub 1/, z/sub 2/) on mod z/sub 1/ mod =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 n/sub 1/ and n/sub 2/ of the polynomial. An example is given to illustrate the proposed method.<
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