Algebraic approach to two-dimensional recursive digital filter synthesis

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.<>