Further Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Form

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dc.contributor.authorMahata, Shibenducs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorKubánek, Davidcs
dc.coverage.issue4cs
dc.coverage.volume6cs
dc.date.accessioned2022-05-02T06:52:55Z
dc.date.available2022-05-02T06:52:55Z
dc.date.issued2022-04-08cs
dc.description.abstractThis paper proposes a further generalization of the fractional-order filters whose limiting form is that of the second-order filter. This new filter class can also be regarded as a superset of the recently reported power-law filters. An optimal approach incorporating constraints that restricts the real part of the roots of the numerator and denominator polynomials of the proposed rational approximant to negative values is formulated. Consequently, stable inverse filter characteristics can also be achieved using the suggested method. Accuracy of the proposed low-pass, high-pass, band-pass, and band-stop filters for various combinations of design parameters is evaluated using the absolute relative magnitude/phase error metrics. Current feedback operational amplifier-based circuit simulations validate the efficacy of the four types of designed filters and their inverse functions. Experimental results for the frequency and time-domain performances of the proposed fractional-order band-pass filter and its inverse counterpart are also presented.en
dc.formattextcs
dc.format.extent1-25cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationFractal and Fractional. 2022, vol. 6, issue 4, p. 1-25.en
dc.identifier.doi10.3390/fractalfract6040209cs
dc.identifier.issn2504-3110cs
dc.identifier.other177679cs
dc.identifier.urihttp://hdl.handle.net/11012/204157
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofFractal and Fractionalcs
dc.relation.urihttps://www.mdpi.com/2504-3110/6/4/209cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2504-3110/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectanalog filter approximationen
dc.subjectcurrent feedback operational amplifieren
dc.subjectfractional-order filteren
dc.subjectinverse filteren
dc.subjectoptimizationen
dc.subjectpower-law filteren
dc.subjectsecond-order filteren
dc.titleFurther Generalization and Approximation of Fractional-Order Filters and Their Inverse Functions of the Second-Order Limiting Formen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-177679en
sync.item.dbtypeVAVen
sync.item.insts2023.01.25 16:53:13en
sync.item.modts2023.01.25 16:14:17en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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