Optimized fractional-order Butterworth filter design in complex F-plane

Loading...
Thumbnail Image
Date
2022-09-15
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
SPRINGERNATURE
Altmetrics
Abstract
This paper introduces a new technique to optimally design the fractional-order Butterworth low-pass filter in the complex F-plane. Design stability is assured by incorporating the critical phase angle as an inequality constraint. The poles of the proposed approximants reside on the unit circle in the stable region of the F-plane. The improved accuracy of the suggested scheme as compared to the recently published literature is demonstrated. A mixed-integer genetic algorithm which considers the parallel combinations of resistors and capacitors for the Valsa network is used to optimize the frequency responses of the fractional-order capacitor emulators as part of the experimental verification using the Sallen-Key filter topology. The total harmonic distortion and spurious-free dynamic range of the practical 1.5th-order Butterwoth filter are measured as 0.13% and 62.18 dBc, respectively; the maximum and mean absolute relative magnitude errors are 0.03929 and 0.02051, respectively.
Description
Citation
Fractional Calculus and Applied Analysis. 2022, vol. 25, issue 5, p. 1-17.
https://link.springer.com/article/10.1007/s13540-022-00081-9
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
Citace PRO