New Stability Results for 2-D Digital Filters With Generalized Overflow Nonlinearities

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.