Design of equiripple nonrecursive digital differentiators and Hilbert transformers using a weighted least-squares technique

Abstract

A procedure for the design of equiripple digital differentiators (DDs) and Hilbert transformers (HTs) using a weighted least-squares technique is described. This procedure involves an iterative algorithm in which the appropriate frequency-dependent weighting function that yields an equiripple design is determined. Our procedure is used in conjunction with prediction techniques for the DD and HT lengths to design DDs and HTs, respectively, satisfying prescribed specifications.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>