Alternative discrete-time operators: an algorithm for optimal selection of parameters

Abstract—In this note, we consider the issue of parameter sensitivity in models based on alternative discrete time operators (ADTOs). A generic first order ADTO is proposed which encompasses all the known first order ADTOs introduced so far in the literature. New bounds on the operator parameters are derived, and a new algorithm is given for optimally selecting the parameters to give minimum parameter senstivity. Keywords— Digital filters, low sensitivity, delta operator, shift operator, gamma operator.