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

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dc.contributor.authorMahata, Shibenducs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorKubánek, Davidcs
dc.contributor.authorGöknar, Izzet Cemcs
dc.coverage.issue5cs
dc.coverage.volume25cs
dc.date.accessioned2022-09-19T14:54:08Z
dc.date.available2022-09-19T14:54:08Z
dc.date.issued2022-09-15cs
dc.description.abstractThis 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.en
dc.formattextcs
dc.format.extent1-17cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationFractional Calculus and Applied Analysis. 2022, vol. 25, issue 5, p. 1-17.en
dc.identifier.doi10.1007/s13540-022-00081-9cs
dc.identifier.issn1311-0454cs
dc.identifier.other179137cs
dc.identifier.urihttp://hdl.handle.net/11012/208424
dc.language.isoencs
dc.publisherSPRINGERNATUREcs
dc.relation.ispartofFractional Calculus and Applied Analysiscs
dc.relation.urihttps://link.springer.com/article/10.1007/s13540-022-00081-9cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1311-0454/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectFractional-order system (primary)en
dc.subjectAnalog filter approximationen
dc.subjectF-domainen
dc.subjectFractional-order capacitoren
dc.subjectConstrained optimizationen
dc.subjectFractional-order Butterworth filteren
dc.subjectStabilityen
dc.titleOptimized fractional-order Butterworth filter design in complex F-planeen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-179137en
sync.item.dbtypeVAVen
sync.item.insts2023.01.25 12:56:21en
sync.item.modts2023.01.25 12:14:28en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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