학술논문

New Stability Results for 2-D Digital Filters With Generalized Overflow Nonlinearities
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. 71(5):2829-2833 May, 2024
Subject
Components, Circuits, Devices and Systems
Stability criteria
Asymptotic stability
Thermal stability
Digital filters
Symmetric matrices
Upper bound
State-space methods
Lyapunov approach
generalized overflow arithmetic
2-D system
Language
ISSN
1549-7747
1558-3791
Abstract
This brief establishes new global asymptotic stability criteria for fixed-point two-dimensional (2-D) digital filters in Fornasini-Marchesini second local state-space model with generalized overflow nonlinearities. The 2-D Lyapunov method and improved generalized overflow nonlinearity characterization serve as the foundation for the criteria. The approach outperforms a string of previously reported approaches.