Title :
2D discrete time lossless bounded real functions: minimal state space realisation
Author_Institution :
Dept. of Electr. & Comput. Eng., New Jersey Inst. of Technol., Newark, NJ, USA
Abstract :
A circuit realisation for two-dimensional (2D) nth order discrete-time lossless bounded real functions, with minimum number of delay elements, is presented. Based on this circuit realisation the corresponding matrix vectors A, b, c´ of the Givone-Roesser 2D state space model, are derived. The dimension of the 2D state space model is minimal.
Keywords :
matrix algebra; network synthesis; state-space methods; two-dimensional digital filters; 2D digital filters; 2D discrete time lossless bounded real functions; Givone-Roesser 2D state space model; circuit realisation; delay elements; dimension; matrix vectors; minimal state space realisation;
Journal_Title :
Electronics Letters
DOI :
10.1049/el:19931339
