Low roundoff noise 2-D digital filters using residue feedback

Abstract

The finite wordlength fixed point realization of a 2D digital filter, using residue feedback to minimize the output roundoff noise subject to l/sub 2/-scaling is considered. A new set of 2D filter invariants, called 2D residue modes, are defined which characterize the new low noise structure. There are cases where the sum of the 2D horizontal and vertical residue modes is less than the 2D horizontal and vertical second order modes and in such cases the proposed structure leads to lower roundoff noise than other techniques.<>