Telescoping rounding for suboptimal finite wordlength FIR digital filter design

Abstract

Rounding of the so-called infinite precision coefficients to their nearest finite wordlength representation is often used for reasons of simplicity. This rounding, however, is typically far from optimal. A significantly better rounding method that uses a technique called telescoping is presented in this paper. Its practical effectiveness in the design of suboptimal finite wordlength filters is demonstrated. It can also be used to speed up the algorithms for optimal finite wordlength FIR filter design.