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Math. Comput. Appl. 1996, 1(2), 42-46; doi:10.3390/mca1020042

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

Department of Mechanical Engineering, Aeronautical Engineering and Mechanics, Rensselear Polytechnic Institute, Troy, New York 12180, USA
Published: 1 December 1996
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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
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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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.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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