Validation of Fractional-Order Lowpass Elliptic Responses of (1 + )-Order Analog Filters

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dc.contributor.authorKubánek, Davidcs
dc.contributor.authorFreeborn, Toddcs
dc.contributor.authorKoton, Jaroslavcs
dc.contributor.authorDvořák, Jancs
dc.coverage.issue12cs
dc.coverage.volume8cs
dc.date.issued2018-12-13cs
dc.description.abstractIn this paper, fractional-order transfer functions to approximate the passband and stopband ripple characteristics of a second-order elliptic lowpass filter are designed and validated. The necessary coefficients for these transfer functions are determined through the application of a least squares fitting process. These fittings are applied to symmetrical and asymmetrical frequency ranges to evaluate how the selected approximated frequency band impacts the determined coefficients using this process and the transfer function magnitude characteristics. MATLAB simulations of (1 + ) order lowpass magnitude responses are given as examples with fractional steps from = 0.1 to = 0.9 and compared to the second-order elliptic response. Further, MATLAB simulations of the (1 + ) = 1.25 and 1.75 using all sets of coefficients are given as examples to highlight their differences. Finally, the fractional-order filter responses were validated using both SPICE simulations and experimental results using two operational amplifier topologies realized with approximated fractional-order capacitors for (1 + ) = 1.2 and 1.8 order filters.en
dc.formattextcs
dc.format.extent1-17cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationApplied Sciences - Basel. 2018, vol. 8, issue 12, p. 1-17.en
dc.identifier.doi10.3390/app8122603cs
dc.identifier.issn2076-3417cs
dc.identifier.orcid0000-0002-0346-0761cs
dc.identifier.orcid0000-0003-4263-5875cs
dc.identifier.orcid0009-0004-3915-9825cs
dc.identifier.other151884cs
dc.identifier.researcheridE-3392-2018cs
dc.identifier.researcheridE-1241-2018cs
dc.identifier.researcheridP-7120-2017cs
dc.identifier.scopus8659506800cs
dc.identifier.scopus15061338400cs
dc.identifier.scopus57188853049cs
dc.identifier.urihttp://hdl.handle.net/11012/137272
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofApplied Sciences - Baselcs
dc.relation.urihttps://www.mdpi.com/2076-3417/8/12/2603cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2076-3417/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectfractional-order filtersen
dc.subjectfractional calculusen
dc.subjectChebyshev filtersen
dc.subjectlow-pass filtersen
dc.subjectmagnitude responsesen
dc.titleValidation of Fractional-Order Lowpass Elliptic Responses of (1 + )-Order Analog Filtersen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-151884en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:42:00en
sync.item.modts2025.01.17 18:46:29en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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