Floating-point roundoff noises of first- and second-order sectionsin parallel form digital filters

摘要

Assuming wide-sense stationary white noise input, we investigatednthe floating-point roundoff noises of first- and second order digitalnsubfilters. For first-order subfilters, the roundoff noise of parallelnform 3P realization is invariably smaller than that of the correspondingnparallel form 1P realization. The floating-point roundoff noise of ansecond-order subfilter depends on the order of additions. Criteria arendeveloped to find the best order and to make the choice between parallelnform 1P and 3P realizations