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Article

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

by
Omer Gundogdu
Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselear Polytechnic Institute, Troy, New York 12180, USA
Math. Comput. Appl. 1996, 1(2), 42-46; https://doi.org/10.3390/mca1020042
Published: 1 December 1996
Versions Notes

Abstract

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.
Keywords: δ-Transform; coeffcient sensitivity; numerical instability; discretization; stability δ-Transform; coeffcient sensitivity; numerical instability; discretization; stability

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MDPI and ACS Style

Gundogdu, O. A New Algorithm to Obtain δ-Operator Based Transfer Function From Its Continuous Time Counterpart. Math. Comput. Appl. 1996, 1, 42-46. https://doi.org/10.3390/mca1020042

AMA Style

Gundogdu O. A New Algorithm to Obtain δ-Operator Based Transfer Function From Its Continuous Time Counterpart. Mathematical and Computational Applications. 1996; 1(2):42-46. https://doi.org/10.3390/mca1020042

Chicago/Turabian Style

Gundogdu, Omer. 1996. "A New Algorithm to Obtain δ-Operator Based Transfer Function From Its Continuous Time Counterpart" Mathematical and Computational Applications 1, no. 2: 42-46. https://doi.org/10.3390/mca1020042

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