(N + )-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth response

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dc.contributor.authorKubánek, Davidcs
dc.contributor.authorKoton, Jaroslavcs
dc.contributor.authorJeřábek, Jancs
dc.contributor.authorAndriukaitis, Dariuscs
dc.coverage.issue3cs
dc.coverage.volume24cs
dc.date.accessioned2021-10-05T10:53:50Z
dc.date.available2021-10-05T10:53:50Z
dc.date.issued2021-06-23cs
dc.description.abstractThe formula of the all-pole low-pass frequency filter transfer function of the fractional order (N +) designated for implementation by non-cascade multiple-feedback analogue structures is presented. The aim is to determine the coefficients of this transfer function and its possible variants depending on the filter order and the distribution of the fractional-order terms in the transfer function. Optimization algorithm is used to approximate the target Butterworth low-pass magnitude response, whereas the approximation errors are evaluated. The interpolated equations for computing the transfer function coefficients are provided. An example of the transformation of the fractional-order low-pass to the high-pass filter is also presented. The results are verified by simulation of multiple-feedback filter with operational transconductance amplifiers and fractional-order element.en
dc.formattextcs
dc.format.extent689-714cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationFractional Calculus and Applied Analysis. 2021, vol. 24, issue 3, p. 689-714.en
dc.identifier.doi10.1515/fca-2021-0030cs
dc.identifier.issn1314-2224cs
dc.identifier.other171883cs
dc.identifier.urihttp://hdl.handle.net/11012/201743
dc.language.isoencs
dc.publisherDe Gruytercs
dc.relation.ispartofFractional Calculus and Applied Analysiscs
dc.relation.urihttps://www.degruyter.com/document/doi/10.1515/fca-2021-0030/htmlcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1314-2224/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectfractional-orderen
dc.subjectanalogue filteren
dc.subjecttransfer functionen
dc.subjectButterworth responseen
dc.subjectnon-cascade filter synthesisen
dc.title(N + )-Order low-pass and high-pass filter transfer functions for non-cascade implementations approximating Butterworth responseen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-171883en
sync.item.dbtypeVAVen
sync.item.insts2021.12.21 20:55:00en
sync.item.modts2021.12.21 20:14:15en
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
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