Global asymptotic stability of normal digital filters with rounding and two's complement truncation quantization

Normal form digital filters are investigated for limit cycles due to both two's complement truncation and rounding quantization. Conditions for existence are derived. A method, based on an exhaustive search and applicable to above types of quantization, is introduced. Regions in the parameter space where the filters are free from limit cycles are determined. The computational aspects of the suggested algorithm are also discussed.