Optimal Approximation of Fractional-Order Butterworth Filter Based on Weighted Sum of Classical Butterworth Filters

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dc.contributor.authorMahata, Shibenducs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorKubánek, Davidcs
dc.coverage.issue1cs
dc.coverage.volume9cs
dc.date.accessioned2021-07-19T10:52:58Z
dc.date.available2021-07-19T10:52:58Z
dc.date.issued2021-06-02cs
dc.description.abstractIn this paper, a new two-steps design strategy is introduced for the optimal rational approximation of the fractional-order Butterworth filter. At first, the weighting factors of the summation between the nth -order and the (n+1)th -order Butterworth filters are optimally determined. Subsequently, this model is employed as an initial point for another optimization routine, which minimizes the magnitude-frequency error relative to the (n+)th -order, where (0,1) , Butterworth filter. The proposed approximant demonstrates improved performance about the magnitude mean squared error compared to the state-of-the-art design for six decades of bandwidth, but the introduced approach does not require a fractional-order transfer function model and the approximant of the s operator. The proposed strategy also avoids the use of the cascading technique to yield higher-order fractional-order Butterworth filter models. The performance of the proposed 1.5th-order Butterworth filter in follow-the-leader feedback topology is verified through SPICE simulations and its hardware implementation based on Analog Devices AD844AN-type current feedback operational amplifier.en
dc.formattextcs
dc.format.extent81097-81114cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationIEEE Access. 2021, vol. 9, issue 1, p. 81097-81114.en
dc.identifier.doi10.1109/ACCESS.2021.3085515cs
dc.identifier.issn2169-3536cs
dc.identifier.other172046cs
dc.identifier.urihttp://hdl.handle.net/11012/200668
dc.language.isoencs
dc.publisherIEEEcs
dc.relation.ispartofIEEE Accesscs
dc.relation.urihttps://ieeexplore.ieee.org/document/9445054cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2169-3536/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectAnalog filter approximationen
dc.subjectapproximation methoden
dc.subjectButterworth filteren
dc.subjectcurrent feedback operational amplifieren
dc.subjectfractional calculusen
dc.subjectfractional-order filteren
dc.subjectinterpolationen
dc.subjectlow-pass filteren
dc.subjectmean square error methoden
dc.subjectoptimization method.en
dc.titleOptimal Approximation of Fractional-Order Butterworth Filter Based on Weighted Sum of Classical Butterworth Filtersen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-172046en
sync.item.dbtypeVAVen
sync.item.insts2021.07.26 16:55:51en
sync.item.modts2021.07.26 16:14:12en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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