DocumentCode
801349
Title
Stability of the 2-D state-space system with overflow and quantization
Author
Bose, Tarnal
Author_Institution
Dept. of Electr. Eng., Colorado Univ., Denver, CO, USA
Volume
42
Issue
6
fYear
1995
fDate
6/1/1995 12:00:00 AM
Firstpage
432
Lastpage
434
Abstract
Two-dimensional (2-D) digital filters are investigated with and without the nonlinear effects of overflow and quantization when implemented in fixed-point arithmetic. A sufficient condition is established for the stability of the linear Fornasini-Marchesini state-space model. The same system is then studied for stability when implemented using two´s complement arithmetic. The combined effects of overflow and quantization are considered, and sufficient conditions for stability are derived
Keywords
circuit stability; digital arithmetic; quantisation (signal); state-space methods; two-dimensional digital filters; 2D state-space system; fixed-point arithmetic; linear Fornasini-Marchesini model; nonlinear effects; overflow; quantization; stability; two´s complement arithmetic; Asymptotic stability; Circuits; Digital filters; Fixed-point arithmetic; Linear systems; Multidimensional systems; Nonlinear equations; Quantization; Sufficient conditions; Two dimensional displays;
fLanguage
English
Journal_Title
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1057-7130
Type
jour
DOI
10.1109/82.392319
Filename
392319
Link To Document