Circuit and state-space realization of 2-D all-pass digital filters via the bilinear transform

摘要

The problem of the circuit and state-space realization of first- and second-order two-dimensional (2-D) all-pass digital filters is considered. The method uses the 2-D bilinear transform. The multipliers and delay elements required for the realization equal the maximum number of the numerator or denominator coefficients of the given filter. The matrices A, b, and c/sup t/ and the scalar d of the Givone-Roesser state space model are derived, based on the circuit realization, for first- and second-order all-pass digital filters.