Title :
Algebraic approach to two-dimensional recursive digital filter synthesis
Author :
Cadzow, James A. ; Chen, Tso-Cho
Author_Institution :
Dept. of Electr. Eng., Arizona State Univ., Tempe, AZ, USA
fDate :
5/1/1989 12:00:00 AM
Abstract :
An effective algorithm is developed for synthesizing two-dimensional recursive digital filters which approximate prescribed ideal frequency response specifications. The algorithm is based on an algebraic approach that uses the eigenvalue-eigenvector decomposition of the ideal filter´s excitation-response matrix in conjunction with a recently developed signal-enhancement method. This results in a recursive filter which has a unit impulse that closely approximates the ideal filter´s unit-impulse response. Illustrative examples and comparisons to an existing technique are included.<>
Keywords :
eigenvalues and eigenfunctions; network synthesis; two-dimensional digital filters; 2D recursive digital filter; algebraic approach; algorithm; eigenvalue-eigenvector decomposition; excitation-response matrix; frequency response; signal-enhancement method; unit-impulse response; Algorithm design and analysis; Digital filters; Frequency response; IIR filters; Matrix decomposition; Nonlinear filters; Signal design; Signal processing algorithms; Signal synthesis; Stability criteria;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on