Circuit and State-Space Realization of 2-D All-pass Digital Filters Via the Bilinear Transform
In this paper the problem of the circuit and state-space realization of first- and second-order two-dimensional (2-D) allpass digital filters is considered. The method uses the 2-D bilinear transform. The multipliers and delay elements required for the realization equals the maximum number of the numerator or denominator coefficients of the given filter. The matrices A,b, and c' and the scalar d of the Givone-Roesser state space model are derived, based on the circuit realization, for first- and second-order allpass digital filters.
MSU Digital Commons Citation
Varoufakis, Stavros J. and Antoniou, George, "Circuit and State-Space Realization of 2-D All-pass Digital Filters Via the Bilinear Transform" (1991). Department of Computer Science Faculty Scholarship and Creative Works. 159.