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dc.contributor.authorMahata, Shibenducs
dc.contributor.authorHerencsár, Norbertcs
dc.contributor.authorKubánek, Davidcs
dc.date.accessioned2021-11-12T22:56:36Z
dc.date.available2021-11-12T22:56:36Z
dc.date.issued2021-11-04cs
dc.identifier.citationFractal and Fractional. 2021, vol. 5, issue 4, p. 1-23.en
dc.identifier.issn2504-3110cs
dc.identifier.other173062cs
dc.identifier.urihttp://hdl.handle.net/11012/202251
dc.description.abstractThis paper presents the optimal modeling of Power Law Filters (PLFs) with the low-pass (LP), high-pass (HP), band-pass (BP), and band-stop (BS) responses by means of rational approximants. The optimization is performed for three different objective functions and second-order filter mother functions. The formulated design constraints help avoid placement of the zeros and poles on the right-half s-plane, thus, yielding stable PLF and inverse PLF (IPLF) models. The performances of the approximants exhibiting the fractional-step magnitude and phase responses are evaluated using various statistical indices. At the cost of higher computational complexity, the proposed approach achieved improved accuracy with guaranteed stability when compared to the published literature. The four types of optimal PLFs and IPLFs with an exponent alpha of 0.5 are implemented using the follow-the-leader feedback topology employing AD844AN current feedback operational amplifiers. The experimental results demonstrate that the Total Harmonic Distortion achieved for all the practical PLF and IPLF circuits was equal or lower than 0.21%, whereas the Spurious-Free Dynamic Range also exceeded 57.23 and 54.72 dBc, respectively.en
dc.formattextcs
dc.format.extent1-23cs
dc.format.mimetypeapplication/pdfcs
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofFractal and Fractionalcs
dc.relation.urihttps://www.mdpi.com/2504-3110/5/4/197cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectanalog filter approximationen
dc.subjectanalog signal processingen
dc.subjectfractional-order filteren
dc.subjectinverse filteren
dc.titleOn the Design of Power Law Filters and Their Inverse Counterpartsen
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav telekomunikacícs
sync.item.dbidVAV-173062en
sync.item.dbtypeVAVen
sync.item.insts2022.05.01 16:56:04en
sync.item.modts2022.05.01 16:14:10en
dc.coverage.issue4cs
dc.coverage.volume5cs
dc.identifier.doi10.3390/fractalfract5040197cs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2504-3110/cs
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen


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Creative Commons Attribution 4.0 International
Except where otherwise noted, this item's license is described as Creative Commons Attribution 4.0 International