A Review to the Stability of Discrete Time State-Space Filters using Saturation Non-Linearity

Abstract: The problem concerning the elimination of overflow oscillation in fixed-point state-space digital filter employing saturation arithmetic is considered by various researchers. In this paper a review is done to the finite procedure proposed by T. Oba [1] to test the stability of digital filters under saturation arithmetic.

Keywords: Digital filters, finite wordlength, asymptotic stability, nonlinear system.