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scientific master's theses
Sinteza IIR Hilbertovih transformatora u vremenskoj domeni
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2011. urn:nbn:hr:168:173339
Ljutić, Aleksandar
University of Zagreb
Faculty of Electrical Engineering and Computing
Department of Electronic Systems and Information Processing

Institutional repository: FER Repository

Cite this document

Ljutić, A. (2011). Sinteza IIR Hilbertovih transformatora u vremenskoj domeni (Scientific master's theses). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:173339

Ljutić, Aleksandar. "Sinteza IIR Hilbertovih transformatora u vremenskoj domeni." Scientific master's theses, University of Zagreb, Faculty of Electrical Engineering and Computing, 2011. https://urn.nsk.hr/urn:nbn:hr:168:173339

Ljutić, Aleksandar. "Sinteza IIR Hilbertovih transformatora u vremenskoj domeni." Scientific master's theses, University of Zagreb, Faculty of Electrical Engineering and Computing, 2011. https://urn.nsk.hr/urn:nbn:hr:168:173339

Ljutić, A. (2011). 'Sinteza IIR Hilbertovih transformatora u vremenskoj domeni', Scientific master's theses, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 03 January 2025, https://urn.nsk.hr/urn:nbn:hr:168:173339

Ljutić A. Sinteza IIR Hilbertovih transformatora u vremenskoj domeni [Scientific master's theses]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2011 [cited 2025 January 03] Available at: https://urn.nsk.hr/urn:nbn:hr:168:173339

A. Ljutić, "Sinteza IIR Hilbertovih transformatora u vremenskoj domeni", Scientific master's theses, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2011. Available at: https://urn.nsk.hr/urn:nbn:hr:168:173339

Metadata
TitleSinteza IIR Hilbertovih transformatora u vremenskoj domeni
Title (english)Time-domain synthesis of IIR Hilbert transformers
AuthorAleksandar Ljutić
MentorMladen Vučić (mentor)
Committee memberDavor Petrinović (predsjednik povjerenstva)
Committee memberMladen Vučić (član povjerenstva)
Committee memberMiroslav Vrankić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
(Department of Electronic Systems and Information Processing)
Zagreb
Defense date and country2011-11-24, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Universal decimal classification
(UDC)		621.3 - Electrical engineering
Abstract
Klasičan pristup sintezi sustava od kojih se zahtijevaju mala izobličenja vremenskih odziva temelji se na zahtjevu za linearnom fazom koja se zatim aproksimira. Ovakav pristup je neizravan. Bolji rezultati mogu se očekivati ako se prijenosna funkcija sustava odredi na temelju zahtjeva zadanih u vremenskoj domeni. Jedan ovakav pristup temelji se na simetriji vremenskog odziva. Hilbertov transformator je fazni zakretač s jediničnom amplitudnom karakteristikom. Tradicionalno se njegova sinteza provodi u frekvencijskoj domeni. S druge strane, poznato je da je vremenski odziv konvencionalnog Hilbertovog transformatora na parno simetričnu pobudu neparno simetričan. Ovo svojstvo može se iskoristiti kao kriterij za sintezu u vremenskoj domeni, što je opisano u dosadašnjoj literaturi. U ovom radu predložena je metoda za sintezu frakcionalnih Hilbertovih transformatora u vremenskoj domeni. Kao model ulaznog signala korišten je sinc puls zadane faze. Mjera izobličenja definirana je pomoću simetrije dobivenog odziva. Numeričkom optimizacijom ove mjere dobiveni su optimalni frakcionalni Hilbertovi transformatori. U radu su razmatrani rekurzivni svepropusni transformatori. Za njih je simetrija odziva određena u analitičkom obliku, čime je osigurana velika robusnost optimizacijskog postupka. Kao primjer opisana je jedna klasa dobivenih transformatora, te su dani parametri njihovih prijenosnih funkcija.
Abstract (english)
Classical approach in filter design, when a small time domain signal distorsion is required, is based on linear phase criterion which is approximated. This is indirect approach. One should expect better results if transfer function based on time-domain criteria is determined. The following approach is based on time-domain response symmetry. Hilbert transformer is a phase shifter with unity magnitude response. Traditionally it is designed in frequency domain. On the other hand, it is known that conventional Hilbert transformer on even-symmetric excitation signal gives odd-symmetric time-domain response. This characteristic can be used as time-domain synthesis criterion which is described in existing literature. In this paper, a method for fractional Hilbert transformer design is determined. As excitation signal model sinc pulse with given phase is used. The measure of distorsion is defined by symmetry of obtained response. Optimal fractional Hilbert transformers are obtained by numerical optimization of this measure. In this paper, recursive all-pass transformers are considered. For them response symmetry is determined in analytical form, whereby optimization method robustness is ensured. As an example, a new class of obtained fractional Hilbert transformers is described, and parameters of their transfer functions are also given.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:173339
ProjectNumber: 036-0362214-2217
Title: Razvoj i implementacija učinkovitih postupaka za digitalnu obradu signala
Leader: Mladen Vučić
Jurisdiction: Croatia
Funder: MZOS
Funding stream: ZP
Study programmeTitle: Postgraduate master programme in electrical engineering
Study programme type: university
Study level: postgraduate
Academic / professional title: Magistar znanosti elektrotehnike (Magistar znanosti elektrotehnike)
Catalog URLhttp://lib.fer.hr/cgi-bin/koha/opac-detail.pl?biblionumber=36998
Type of resourceText
Extent96 str ; 30 cm
File originBorn digital
Access conditionsClosed access
Terms of useLicence In copyright icon
Created on2020-08-26 08:16:57