Minimal Circuit and State Space Realization of Three-Term Separable Denominator 2-D Filters
A simple method is presented for the minimal state space realization of two dimensional (2-D) filters, with a three-term separable denominator (3TSD) made up of two 1-D and one 2-D terms. The matrix A and the vectors b and c of the state space model are derived explicitly from the coefficients of the initial transfer function. The circuit implementation for the 2-D 3TSD filters is provided, as well. The number of delay elements employed represents a significant reduction compared to earlier non-minimal realizations.
MSU Digital Commons Citation
Manikopoulos, Constantine N.; Mentzelopoulou, Sophia E.; and Antoniou, George, "Minimal Circuit and State Space Realization of Three-Term Separable Denominator 2-D Filters" (1991). Department of Computer Science Faculty Scholarship and Creative Works. 393.