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2-D filter stability tests using polynomial array for F( z1,z2) on |z1|=1

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1 Author(s)
Hu, X. ; Dept. of Electr. Eng., Sydney Univ., NSW, Australia

A polynomial array for F(z1,z2) on |z 1|=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(z1,z2). A simple procedure is also given for converting polynomial entries in the first column of the array from z1 domain into x1=(z1+z1 -1)/2. Stability tests are carried out on these real polynomials

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Circuits and Systems, IEEE Transactions on  (Volume:38 ,  Issue: 9 )