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dc.contributor.author | Osuch, Piotr Jan![]() |
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dc.contributor.author | Stander, Tinus![]() |
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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 |