A New Algorithm to Obtain δ-Operator Based Transfer Function From Its Continuous Time Counterpart

This paper discusses the advantages of the δ-operator over the forward shift operator q in implementation of discrete-time systems. The δ-operator gives better coemcient representation and less round-off noise in many cases. As an application, a new algorithm is introduced here to obtain δ-operator based transfer functions from continuous time counterparts, Finally, a ourth-order Butterworth low-pass filter is taken as an example tocompare coeffcient sensitivity effects of q- and δ-operator systems