A geometric approach to group delay network synthesis

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dc.contributor.author Osuch, P.J. (Piotr Jan)
dc.contributor.author Stander, Tinus
dc.date.accessioned 2016-08-05T08:37:22Z
dc.date.available 2016-08-05T08:37:22Z
dc.date.issued 2016-06
dc.description.abstract All-pass networks with prescribed group delay are used for analogue 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-ofthe- art methods in comparison examples. en_ZA
dc.description.department Electrical, Electronic and Computer Engineering en_ZA
dc.description.librarian hb2016 en_ZA
dc.description.uri http://www.radioeng.cz/info/1-about-the-journal.htm en_ZA
dc.identifier.citation Osuch, PJ & Stander, T 2016, 'A geometric approach to group delay network synthesis', Radioengineering, vol. 25, no. 2, pp. 351-364 en_ZA
dc.identifier.issn 1210-2512 (print)
dc.identifier.issn 1805-9600 (online
dc.identifier.other 10.13164/re.2016.0351
dc.identifier.uri http://hdl.handle.net/2263/56217
dc.language.iso en en_ZA
dc.publisher Radioengineering Society en_ZA
dc.rights The Radioengineering Journal is an open access journal. This work is licensed under a Creative Commons Attribution 3.0 Unported License. en_ZA
dc.subject All-pass circuits en_ZA
dc.subject Approximation problem en_ZA
dc.subject Analogue signal processing en_ZA
dc.subject Delay ripple equalisation en_ZA
dc.subject Group deley engineering en_ZA
dc.subject Linear phase filters en_ZA
dc.title A geometric approach to group delay network synthesis en_ZA
dc.type Article en_ZA


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