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

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dc.authorid0000-0002-8197-6413
dc.authorid0000-0002-9504-2275
dc.authorid0000-0002-0346-0761
dc.authorid0000-0001-6289-5725
dc.contributor.authorMahata, Shibenduen_US
dc.contributor.authorHerencsar, Norberten_US
dc.contributor.authorKubanek, Daviden_US
dc.contributor.authorGöknar, İzzet Cemen_US
dc.date.accessioned2022-10-26T15:35:46Z
dc.date.available2022-10-26T15:35:46Z
dc.date.issued2022-10
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Elektrik-Elektronik Mühendisliği Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Electrical and Electronics Engineeringen_US
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_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationMahata, S., Herencsar, N., Kubanek, D. & Göknar, İ. C. (2022). Optimized fractional-order Butterworth filter design in complex F-plane. Fractional Calculus and Applied Analysis, 25(5), 1801-1817. doi:10.1007/s13540-022-00081-9en_US
dc.identifier.doi10.1007/s13540-022-00081-9
dc.identifier.endpage1817
dc.identifier.issn1311-0454
dc.identifier.issn1314-2224
dc.identifier.issue5
dc.identifier.scopus2-s2.0-85138076287
dc.identifier.scopusqualityQ1
dc.identifier.startpage1801
dc.identifier.urihttps://hdl.handle.net/11729/5089
dc.identifier.urihttp://dx.doi.org/10.1007/s13540-022-00081-9
dc.identifier.volume25
dc.identifier.wosWOS:000854745800001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorGöknar, İzzet Cemen_US
dc.institutionauthorid0000-0001-6289-5725
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringer Natureen_US
dc.relation.ispartofFractional Calculus and Applied Analysisen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAnalog filter approximationen_US
dc.subjectConstrained optimizationen_US
dc.subjectF-domainen_US
dc.subjectFractional-order Butterworth filteren_US
dc.subjectFractional-order capacitoren_US
dc.subjectFractional-order system (primary)en_US
dc.subjectStabilityen_US
dc.subjectCapacitoren_US
dc.subjectDifferentiatorsen_US
dc.subjectLow pass filtersen_US
dc.subjectApproximationen_US
dc.titleOptimized fractional-order Butterworth filter design in complex F-planeen_US
dc.typeArticleen_US

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