Minimal Circuit and State Space Realization of Three-Term Separable Denominator 2-D Filters

Authors

Constantine N. Manikopoulos, New Jersey Institute of TechnologyFollow
Sophia E. Mentzelopoulou, New Jersey Institute of TechnologyFollow
George Antoniou, Montclair State UniversityFollow

Document Type

Article

Publication Date

1-1-1991

Abstract

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.

DOI

10.1080/00207219108925515

Montclair State University 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.
https://digitalcommons.montclair.edu/compusci-facpubs/393