Title :
Polynomial array for F(z1, z 2) on |z1|=1 and 2-D filter stability test
Author :
Hu, Xiheng ; Yee, Hansen
Author_Institution :
Dept. of Electr. Eng., Sydney Univ., NSW, Australia
fDate :
6/1/1992 12:00:00 AM
Abstract :
A polynomial array for a complex polynomial F(z 1, 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 n 1 and n2 of the polynomial. An example is given to illustrate the proposed method
Keywords :
filtering and prediction theory; polynomials; stability; two-dimensional digital filters; 2-D filter stability test; algebraic methods; algorithm; complex polynomial; polynomial array; Acoustic testing; Array signal processing; Filters; Frequency; Polynomials; Signal processing; Signal processing algorithms; Signal sampling; Speech processing; Stability;
Journal_Title :
Signal Processing, IEEE Transactions on
