STABILITY OF THE 2-D STATE-SPACE SYSTEM WITH OVERFLOW AND QUANTIZATION

Authors
BOSE T
Citation
T. Bose, STABILITY OF THE 2-D STATE-SPACE SYSTEM WITH OVERFLOW AND QUANTIZATION, IEEE transactions on circuits and systems. 2, Analog and digital signal processing, 42(6), 1995, pp. 432-434
Citations number
13
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 2, Analog and digital signal processing → ACNP
ISSN journal
10577130
Volume
42
Issue
6
Year of publication
1995
Pages
432 - 434
Database
ISI
SICI code
1057-7130(1995)42:6<432:SOT2SS>2.0.ZU;2-6
Abstract
Two-dimensional (2-D) digital filters are investigated with and withou t the nonlinear effects of overflow and quantization when implemented in fixed-point arithmetic. A sufficient condition is established for t he 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 quantiza tion are considered, and sufficient conditions for stability are deriv ed.