Realization of digital filters using block-floating-point arithmetic

Abstract

Recently, statistical models for the effects of roundoff noise in fixed-point and floating-point realizations of digital filters have been proposed and verified, and a comparison between these realizations presented. In this paper a structure for implementing digital filters using block-floating-point arithmetic is proposed and a statistical analysis of the effects of roundoff noise is carried out. On the basis of this analysis, block-floating-point is compared to fixed-point and floating-point arithmetic with regard to roundoff noise effects.