2-D filter stability tests using polynomial array for F(z/sub 1/,z/sub 2/) on mod z/sub 1/ mod =1

A polynomial array for F(z/sub 1/,z/sub 2/) on mod z/sub 1/ mod =1 is developed with a simple and systematic constructing procedure to overcome the difficulties in the implementation of algebraic methods for 2-D filter stability tests. No conjugate polynomials (or their coefficients) required in previous procedures are necessary in the proposed method. It is easy to program regardless of the orders of F(z/sub 1/,z/sub 2/). A simple procedure is also given for converting polynomial entries in the first column of the array from z/sub 1/ domain into x/sub 1/=(z/sub 1/+z/sub 1//sup -1/)/2. Stability tests are carried out on these real polynomials.>