DocumentCode
948526
Title
Factored state-space realisation of two-dimensional systems
Author
Benmahammed, K.
Author_Institution
University of Minnesota, Department of Computer Engineering, Duluth, USA
Volume
135
Issue
6
fYear
1988
fDate
11/1/1988 12:00:00 AM
Firstpage
421
Lastpage
425
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;
fLanguage
English
Journal_Title
Control Theory and Applications, IEE Proceedings D
Publisher
iet
ISSN
0143-7054
Type
jour
DOI
10.1049/ip-d.1988.0063
Filename
4648576
Link To Document