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A new frequency-domain criterion for elimination of limit cycles in fixed-point state-space digital filters using saturation arithmetic

Vimal Singh

Chaos, Solitons & Fractals, 2007, vol. 34, issue 3, 813-816

Abstract: In [Singh V. Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic. IEEE Trans Circ Syst 1990;37(6):814–8], a frequency-domain criterion for the suppression of limit cycles in fixed-point state-space digital filters using saturation overflow arithmetic was presented. The passivity property owing to the presence of multiple saturation nonlinearities was exploited therein. In the present paper, a new notion of passivity, namely, that involving the state variables is considered, thereby arriving at an entirely new frequency-domain criterion for the suppression of limit cycles in such filters.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:3:p:813-816

DOI: 10.1016/j.chaos.2006.03.075

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