Chained-Function Filter Synthesis Based on the Modified Jacobi Polynomials

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dc.contributor.authorPerenic, Goran
dc.contributor.authorStamenkovic, Negovan
dc.contributor.authorStojanovic, Nikola
dc.contributor.authorDenic, Nebojsa
dc.coverage.issue4cs
dc.coverage.volume27cs
dc.date.accessioned2020-04-21T09:37:18Z
dc.date.available2020-04-21T09:37:18Z
dc.date.issued2018-12cs
dc.description.abstractA new class of filter functions with pass-band ripple which derives its origin from a method of determining the chained function lowpass filters described by Guglielmi and Connor is introduced. The closed form expressions of the characteristic functions of these filters are derived by using orthogonal Jacobi polynomial. Since the Jacobi polynomials can not be used directly as filtering function, these polynomials have been adapted by using the parity relation for Jacobi polynomials in order to be used as a filter approximating function. The obtained magnitude response of these filters is more general than the magnitude response of published Chebyshev and Legendre chained function filter, because two additional parameters of modified Jacobi polynomials as two additional degrees of freedom are available. It is shown that proposed modified Jacobi chained function filters approximation also includes the Chebyshev chained function filters, the Legendre chained function filter, and many other types of filter approximations, as its special cases.en
dc.formattextcs
dc.format.extent1112-1118cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2018 vol. 27, č. 4, s. 1112-1118. ISSN 1210-2512cs
dc.identifier.doi10.13164/re.2018.1112en
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/186810
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttps://www.radioeng.cz/fulltexts/2018/18_04_1112_1118.pdfcs
dc.rightsCreative Commons Attribution 4.0 International licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectChained functionsen
dc.subjectlowpass filtersen
dc.subjectmodified Jacobi polynomialsen
dc.subjectreturn lossen
dc.subjectLC ladder networken
dc.titleChained-Function Filter Synthesis Based on the Modified Jacobi Polynomialsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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