Limit-Cycle Free Realization of Digital Filters

This paper examines stability properties of digital filters using saturation arithmetic. A new input state-strict passivity condition for interfered digital filters using saturation arithmetic is proposed. Further, the presented criterion is utilized to get conditions for passivity and state-strict passivity of the system as special cases. The established criterion can also be used to guarantee asymptotic stability of the digital filters with zero external interference. Compared with an existing work in literature, the proposed condition is demonstrated to be less conservative. To show effectiveness of the proposed approach, a few numerical examples are provided.