A Geometric Approach to Group Delay Network Synthesis

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dc.contributor.authorOsuch, Piotr Jan
dc.contributor.authorStander, Tinus
dc.coverage.issue2cs
dc.coverage.volume25cs
dc.date.accessioned2016-08-12T06:57:38Z
dc.date.available2016-08-12T06:57:38Z
dc.date.issued2016-06cs
dc.description.abstractAll-pass networks with prescribed group delay are used for analog signal processing and equalisation of transmission channels. The state-of-the-art methods for synthesising quasi-arbitrary group delay functions using all-pass elements lack a theoretical synthesis procedure that guarantees minimum-order networks. We present an analytically-based solution to this problem that produces an all-pass network with a response approximating the required group delay to within an arbitrary minimax error. For the first time, this method is shown to work for any physical realisation of second-order all-pass elements, is guaranteed to converge to a global optimum solution without any choice of seed values as an input, and allows synthesis of pre-defined networks described both analytically and numerically. The proposed method is also demonstrated by reducing the delay variation of a practical system by any desired amount, and compared to state-of-the-art methods in comparison examples.en
dc.formattextcs
dc.format.extent351-364cs
dc.format.mimetypeapplication/pdfen
dc.identifier.citationRadioengineering. 2016 vol. 25, č. 2, s. 351-364. ISSN 1210-2512cs
dc.identifier.doi10.13164/re.2016.0351en
dc.identifier.issn1210-2512
dc.identifier.urihttp://hdl.handle.net/11012/63059
dc.language.isoencs
dc.publisherSpolečnost pro radioelektronické inženýrstvícs
dc.relation.ispartofRadioengineeringcs
dc.relation.urihttp://www.radioeng.cz/fulltexts/2016/16_02_0351_0364.pdfcs
dc.rightsCreative Commons Attribution 3.0 Unported Licenseen
dc.rights.accessopenAccessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectAll-pass circuitsen
dc.subjectapproximation problemen
dc.subjectanalog signal processingen
dc.subjectdelay ripple equalisationen
dc.subjectgroup delay engineeringen
dc.subjectlinear phase filtersen
dc.titleA Geometric Approach to Group Delay Network Synthesisen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
eprints.affiliatedInstitution.facultyFakulta eletrotechniky a komunikačních technologiícs
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