Title :
Factored state-space realisation of two-dimensional systems
Author_Institution :
University of Minnesota, Department of Computer Engineering, Duluth, USA
fDate :
11/1/1988 12:00:00 AM
Abstract :
An algorithm is presented for the factored state-space realisation of two-dimensional (2D) systems. The algorithm is based in the application of the node precedence or ordering concept, used in the synthesis of one-dimensional digital filters, to the 2-D systems. It involves the determination of the continued fraction and its associated signal flow graph from the 2D transfer function. The signal flow graph representation is then used to determine a factored state-space description of the 2D system, and a formula for computing the output roundoff noise of this realisation is given
Keywords :
digital filters; graph theory; matrix algebra; multidimensional systems; state-space methods; transfer functions; 2D transfer function; continued fraction; factored state-space realisation; multidimensional systems; node precedence; one-dimensional digital filters; ordering concept; output roundoff noise; signal flow graph; state-space methods; two-dimensional systems;
Journal_Title :
Control Theory and Applications, IEE Proceedings D
DOI :
10.1049/ip-d.1988.0063
