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In this paper, we focus on the problem of overflow oscillation elimination in 2’s complement state variable realisation of fixed-point digital filters. A new global asymptotic stability (GAS) criterion for the zero-input fixed-point state-space digital filters employing 2’s complement overflow arithmetic is proposed. The proposed criterion captures the structural properties of 2’s complement overflow nonlinearities in a greater detail as compared to several existing criteria. A comparative evaluation of the proposed criterion with various previously reported criteria is made. The obtained criterion turns out to be less stringent than several existing results. An example along with simulation results to substantiate the utility of the criterion is also provided.

Realisation of overflow oscillation-free fixed-point digital filters with 2’s complement arithmetic