Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic

An unconventional approach for guaranteeing the nonexistence of zero-input limit cycles in fixed-point state-space digital filters using saturation arithmetic is presented. The approach is based on a 'passivity' property associated with the multiple saturation nonlinearities. Under certain conditions, the approach specializes to the known approach based on the sector information of the nonlinearities. >

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