Precizni sintezator frekvencija temeljen na svojstvima cijelih brojeva i linearne diofantske jednadžbe

Vukelić, Kristina

master's thesis

Precizni sintezator frekvencija temeljen na svojstvima cijelih brojeva i linearne diofantske jednadžbe

Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2014. urn:nbn:hr:200:714172

Vukelić, Kristina

Josip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
Department of Communications
Chair of Electronics and Microelectronics

Cite this document

APA 6th Edition

Vukelić, K. (2014). Precizni sintezator frekvencija temeljen na svojstvima cijelih brojeva i linearne diofantske jednadžbe (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek. Retrieved from https://urn.nsk.hr/urn:nbn:hr:200:714172

MLA 8th Edition

Vukelić, Kristina. "Precizni sintezator frekvencija temeljen na svojstvima cijelih brojeva i linearne diofantske jednadžbe." Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2014. https://urn.nsk.hr/urn:nbn:hr:200:714172

Chicago 17th Edition

Harvard

Vukelić, K. (2014). 'Precizni sintezator frekvencija temeljen na svojstvima cijelih brojeva i linearne diofantske jednadžbe', Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, accessed 19 April 2024, https://urn.nsk.hr/urn:nbn:hr:200:714172

Vancouver

Vukelić K. Precizni sintezator frekvencija temeljen na svojstvima cijelih brojeva i linearne diofantske jednadžbe [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek; 2014 [cited 2024 April 19] Available at: https://urn.nsk.hr/urn:nbn:hr:200:714172

IEEE

K. Vukelić, "Precizni sintezator frekvencija temeljen na svojstvima cijelih brojeva i linearne diofantske jednadžbe", Master's thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Osijek, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:200:714172

Cite this item: https://urn.nsk.hr/urn:nbn:hr:200:714172

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Metadata

Title	Precizni sintezator frekvencija temeljen na svojstvima cijelih brojeva i linearne diofantske jednadžbe
Title (english)	Precise frequency synthesizer based on the whole numbers properties and linear Diophantine equation
Author	Kristina Vukelić
Mentor	Tomislav Švedek (mentor)
Committee member	Tomislav Švedek (predsjednik povjerenstva)
Committee member	Mario Vranješ (član povjerenstva)
Committee member	Marijan Herceg (član povjerenstva)
Granter	Josip Juraj Strossmayer University of Osijek Faculty of Electrical Engineering, Computer Science and Information Technology Osijek (Department of Communications) (Chair of Electronics and Microelectronics) Osijek
Defense date and country	2014-10-07, Croatia
Scientific / art field, discipline and subdiscipline	TECHNICAL SCIENCES Electrical Engineering Telecommunications and Informatics
Abstract	U ovom diplomskom radu opisan je cjeloviti matematički okvir zajedno sa algoritmima potrebnima za izračun svih potrebnih parametara diofantskog frekvencijskog sintetizatora. Novi koncept diofantske frekvencijske sinteze (DFS) sa vrlo visokom razlučivošću temelji se na matematičkim svojstvima u parovima relativno prostih cijelih brojeva i linearnim diofantskim jednadžbama. DFS koncept koristi dvije ili više fazno-zatvorene petlje (PLL) koje svaka za sebe imaju manju razlučivost od one koja se dobije DFS-om te miješalo koje daje zbroj ili razliku izlaznih frekvencija svih PLL-ova. Iako postoje i druge arhitekture sintezatora s kojima se može postići ovakva razlučivosti, DFS pristup praktičan je zbog svoje jednostavnosti. Cjeloviti matematički prikaz potpomognut je sa više primjera koji se razlikuju po broju PLL-a te po tome da li je ulazna frekvencija nepromjenjiva ili promjenjiva. Detaljnija analiza izvedena je na primjeru sa dva PLL-a te nepromjenjivom ulaznom frekvencijom od 10 MHz.
Abstract (english)	This thesis describes a comprehensive mathematical framework with the algorithms which is necessary for the calculation of all parameters of the diophantine frequency synthesizer. A new concept of Diophantine frequency synthesis (DFS) with very high resolution is based on the mathematical properties in pair prime relative integers and linear Diophantine equations. DFS concept uses two or more phase-locked loops (PLL) each with a lower resolution than that achieved by the DFS principle and a mixer that gives the sum or difference of the output frequencies from the PLLs. Although there are other synthesizer architectures which can achieve such a resolution, DFS approach is practical because of its simplicity. A complete mathematical description is supported with several examples that differs in the number of the PLLs and the fact that the input frequency is unchangeable or changeable. More detailed analysis was performed on an example with two of the PLLs and the fixed input frequency of 10 MHz.
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:200:714172
Study programme	Title: Graduate University Study Programme in Electrical Engineering; branch: Communications and Informatics, Power Engineering Course: branch: Communications and Informatics Study programme type: university Study level: graduate Academic / professional title: magistar/magistra inženjer/inženjerka elektrotehnike (magistar/magistra inženjer/inženjerka elektrotehnike)
Type of resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Repository	Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
Created on	2016-06-30 07:55:52