Suppression of limit cycles in digital filters designed with one magnitude-truncation quantizer

A sufficient condition for the absence of zero-input granularity limit cycles in error feedback digital filters designed with one magnitude-truncation quntizer is presented. This sufficient condition Is satisfied, i.e., no limit cycles can exist, in first- and second-order digital filters, if the parameters in the error feedback loop are properly chosen. The roundoff noise in these digital filters is also discussed.