Comparative study of recursive digital filters using Z and delta operators

Abstract

This paper presents a comparative study of recursive digital filters based on z and delta operators. The effects of different parameters on the performance of filters are studied including coefficient quantisation, filter order, oversampling ratio and filter approximation. The capabilities and limitations of the delta operator in comparison with z are illustrated through simulation examples. This study produces some general guidelines which can be useful in selecting an appropriate operator for a particular filter specification