Novel first order Digital Differentiator for Analog-to-Digital Transform

摘要

A simple and accurate analog to digital transform (ADT) is employed, to design a first order digital differentiator, which closely approximates the analog one. This transform has a fractional parameter m that our approach design based on. The proposed digital differentiator is obtained by selecting the best parameter m such that the relative error between the analog differentiator s and its equivalent digital one is minimum. Some design examples are illustrated to show the effectiveness of the ADT design technique. The beauty of this design is that it's only of first order and suitable for real-time applications.