All-Pole Recursive Digital Filters Design Based on Ultraspherical Polynomials

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dc.contributor.authorStojanovic, Nikola
dc.contributor.authorStamenkovic, Negovan
dc.contributor.authorStojanovic, Vidosav
dc.coverage.issue3cs
dc.coverage.volume23cs
dc.date.accessioned2014-12-11T12:48:33Z
dc.date.available2014-12-11T12:48:33Z
dc.date.issued2014-09cs
dc.description.abstractA simple method for approximation of all-pole recursive digital filters, directly in digital domain, is described. Transfer function of these filters, referred to as Ultraspherical filters, is controlled by order of the Ultraspherical polynomial, nu. Parameter nu, restricted to be a nonnegative real number (nu ≥ 0), controls ripple peaks in the passband of the magnitude response and enables a trade-off between the passband loss and the group delay response of the resulting filter. Chebyshev filters of the first and of the second kind, and also Legendre and Butterworth filters are shown to be special cases of these allpole recursive digital filters. Closed form equations for the computation of the filter coefficients are provided. The design technique is illustrated with examples.en
dc.formattextcs
dc.format.extent949-953cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2014, vol. 23, č. 3, s. 949-953. ISSN 1210-2512cs
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/36520
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttp://www.radioeng.cz/fulltexts/2014/14_03_0949_0953.pdfcs
dc.rightsCreative Commons Attribution 3.0 Unported Licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectAll-pole IIR filteren
dc.subjectlowpass filtesen
dc.subjecthighpass filtersen
dc.subjectultraspherical filteren
dc.subjectapproximation theoryen
dc.titleAll-Pole Recursive Digital Filters Design Based on Ultraspherical Polynomialsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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