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undergraduate thesis
Antenski nizovi zasnovani na Cantorovim krivuljama
Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2022. urn:nbn:hr:200:676977
Dujak, Andrija
Josip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
Department of Communications
Laboratory for High Frequency Measurements

Institutional repository: Faculty of Electrical Engineering, Computer Science and Information Technology Osijek

Cite this document

Dujak, A. (2022). Antenski nizovi zasnovani na Cantorovim krivuljama (Undergraduate 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:200:676977

Dujak, Andrija. "Antenski nizovi zasnovani na Cantorovim krivuljama." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2022. https://urn.nsk.hr/urn:nbn:hr:200:676977

Dujak, Andrija. "Antenski nizovi zasnovani na Cantorovim krivuljama." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, 2022. https://urn.nsk.hr/urn:nbn:hr:200:676977

Dujak, A. (2022). 'Antenski nizovi zasnovani na Cantorovim krivuljama', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, accessed 18 February 2025, https://urn.nsk.hr/urn:nbn:hr:200:676977

Dujak A. Antenski nizovi zasnovani na Cantorovim krivuljama [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek; 2022 [cited 2025 February 18] Available at: https://urn.nsk.hr/urn:nbn:hr:200:676977

A. Dujak, "Antenski nizovi zasnovani na Cantorovim krivuljama", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Faculty of Electrical Engineering, Computer Science and Information Technology Osijek, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:200:676977

Metadata
TitleAntenski nizovi zasnovani na Cantorovim krivuljama
Title (english)Antenna arrays based on Cantor curves
AuthorAndrija Dujak
MentorSlavko Rupčić (mentor)
Committee memberSlavko Rupčić (predsjednik povjerenstva)
Committee memberVanja Mandrić (član povjerenstva)
Committee memberAnđelko Lišnjić (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Faculty of Electrical Engineering, Computer Science and Information Technology Osijek
(Department of Communications)
(Laboratory for High Frequency Measurements)
Osijek
Defense date and country2022-04-07, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Telecommunications and Informatics
Abstract
Za rad je bilo potrebno kreirati program koji bi izračunao kutove unutar kugle. Kut alfa koji predstavlja kut u odsječku kugle s y osi i kut beta koji predstavlja kut u odsječku kugle s x osi. Kut alfa se postavio pomoću cantorovog skupa gdje se uzima gornja granica svih intervala od cantorovog skupa s određenim cantorovim stupnjem, A kut beta je određen tako da se izračuna polovica valne duljine radio signala i podijeli se s kružnicom kugle koji ovisi o kutu alfa. Sve se računa pomoću programa koji je koristio povezane liste, rekurzivne funkcije i matematičke formule za rad. Moralo se prvo izračunat cantorov skup, za to je potrebno odrediti svojevrsno cantorov stupanj koji je prirodan broj. Nakon čega se uzima duljina od dužine devedeset i dijeliti je na 3 jednaka dijela. Srednji dio se izbriše i ostane nam 2 dijela koje nadalje dijelimo na 3 dijela sve dok nismo izvršili taj proces u toliko puta koliko smo zadali cantorov stupanj. Time smo dobili alfa kut s gornjom granicom tih preostalih dužina. Ti kutevi se koriste za izračunavanje kružnice u kugli gdje je kut jednak alfi. Izračunavanje dužine kružnice možemo izračunati broj antena koje možemo postaviti na na njoj tako da podijelimo dužinu s dužinom polovice valne dužine radio signala. Pretvorbom valne dužine u kut i množenjem s rednim brojem antene možemo izračunati sve kutove za betu. I time dobijemo sve podatke.
Abstract (english)
for the project it was necessary to create a program that would calculate the angles inside a sphere. The angle alpha representing the angle in the section of the sphere with the y axis and the angle beta representing the angle in the section of the sphere with the x axis. The angle alpha is set using a Cantor set where the upper limit of all intervals from the Cantor set with a certain Cantor degree is taken, and the beta angle is determined by calculating half the wavelength of a radio signal and dividing it by the circle length of the sphere depending on the angle alpha. Everything is calculated using a program that used linked lists, recursive functions, and mathematical formulas to work with. It was necessary to first calculate the Cantor set, for this it is necessary to determine the Cantor degree which is a natural number. Then take a length of ninety and divide it into 3 equal parts. The middle part is taken out and we are left with 2 parts which we further divide into 3 parts until we have performed this process as many times as we have given the cantor degree. This gave us alpha angles with an upper limit of these remaining lengths. These angles are used to calculate a circle in a sphere where the angle is equal to alpha. Calculating the length of a circle we can calculate the number of antennas we can place on it by dividing the length by half the wavelength of the radio signal. By converting the wavelength to an angle and multiplying by the ordinal number of the antenna, we can calculate all the beta angles. And with that we get all the data.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:200:676977
Study programmeTitle: Undergraduate professional study programme in Computer Engineering
Study programme type: professional
Study level: undergraduate
Academic / professional title: stručni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (stručni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2022-09-08 07:09:37