An improved criterion for the global asymptotic stability of fixed-point state-space digital filters with combinations of quantization and overflow
Stability criterion of fixed-point digital filters with finite wordlength is proposed. Criterion utilizes the values of maximum normalized quantization error and maximum representable number. Criterion provides less restrictive stability condition than several existing criteria. Several examples illustrate the applicability of the approach.
asymptotic stability digital filter finite wordlength effect lyapunov method nonlinear system