학술논문

Novel Stability Criterion for 2-D Digital Filters With Saturation Arithmetic
Document Type
Periodical
Author
Source
IEEE Transactions on Circuits and Systems II: Express Briefs IEEE Trans. Circuits Syst. II Circuits and Systems II: Express Briefs, IEEE Transactions on. 70(4):1635-1639 Apr, 2023
Subject
Components, Circuits, Devices and Systems
Digital filters
Asymptotic stability
Finite wordlength effects
Symmetric matrices
Registers
System dynamics
Stability criteria
Global asymptotic stability
linear matrix inequality
Lyapunov method
two-dimensional digital filter
Language
ISSN
1549-7747
1558-3791
Abstract
The saturation overflow stability problem for two-dimensional (2-D) digital filters in Roesser model is studied in this brief. By perceptive utilization of the 2-D system dynamics, a novel global asymptotic stability (GAS) criterion (together with its equivalent form) for the considered system is derived. The criterion is compared with the existing GAS criteria. An example is given for instancing the usefulness of the criterion.