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undergraduate thesis
Praćenje trenutne frekvencije signala primjenom Hilbertove transformacije
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2017. urn:nbn:hr:168:435567
Cimermančić, Filip
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

Cite this document

Cimermančić, F. (2017). Praćenje trenutne frekvencije signala primjenom Hilbertove transformacije (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:435567

Cimermančić, Filip. "Praćenje trenutne frekvencije signala primjenom Hilbertove transformacije." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2017. https://urn.nsk.hr/urn:nbn:hr:168:435567

Cimermančić, Filip. "Praćenje trenutne frekvencije signala primjenom Hilbertove transformacije." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2017. https://urn.nsk.hr/urn:nbn:hr:168:435567

Cimermančić, F. (2017). 'Praćenje trenutne frekvencije signala primjenom Hilbertove transformacije', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 25 June 2024, https://urn.nsk.hr/urn:nbn:hr:168:435567

Cimermančić F. Praćenje trenutne frekvencije signala primjenom Hilbertove transformacije [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2017 [cited 2024 June 25] Available at: https://urn.nsk.hr/urn:nbn:hr:168:435567

F. Cimermančić, "Praćenje trenutne frekvencije signala primjenom Hilbertove transformacije", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:168:435567

Metadata
TitlePraćenje trenutne frekvencije signala primjenom Hilbertove transformacije
Title (english)Instantaneous frequency estimation using the Hilbert transform
AuthorFilip Cimermančić
MentorVedran Bilas (mentor)
Committee memberVedran Bilas (predsjednik povjerenstva)
Committee memberDarko Vasić (član povjerenstva)
Committee memberDinko Oletić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2017-07-10, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Computing
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
Hilbertova transformacija je operator koji omogućuje jednostavno dobivanje amplitude i faze ulaznog signala koristeći analitički signal. Analitički signal je zapis u kojem je realna komponenta ulazni signal, a imaginarna komponenta Hilbertova transformacija signala. Koristeći testne signale i programski alat Matlab, u prvom eksperimentu se pokazalo kako pomoću analitičkog signala možemo pratiti trenutnu frekvenciju ulaznog signala, te su rezultati eksperimenta popraćeni grafičkim prikazom izlaznih signala. U drugom eksperimentu algoritam za izračunavanje analitičkog signala implementiran je na ARM Cortex M3 procesor. Implementirani algoritam radi na principu računanja Brze Fourierove transformacije, izjednačavanja dijela spektra koji odgovara negativnim frekvencijama s nulom i računanja Inverzne brze Fourierove transformacije takvog spektra. U procesoru se računa i faza signala, a izlazni signal je frekvencija ulaznog signala koja se učita i crta u Matlabu. Gledajući dobivene rezultate i uspoređujući ih s onima iz Matlaba, može se vidjeti kako algoritam za ARM procesor estimira trenutnu frekvenciju signala, što dokazuje da je algoritam uspješno implementiran.
Abstract (english)
Hilbert transform is an operator that allows simple calculation of the amplitude and phase of the input signal using the analytic signal. Analytic signal is a signal whose real part is the input signal and its imaginary part is Hilbert transform of the input signal. Using programming tool Matlab in first experiment, it was shown how the frequency of the input signal can be monitored using the analytic signal. The results were displayed as graphs that represent frequency of the input signal. In second experiment, the algorithm for calculating the analytic signal was implemented on ARM Cortex M3 processor. Implemented algorithm calculates Fast Fourier transform of the input signal, replaces coefficients that correspond to negative frequencies with zeros, and calculates Inverse fast Fourier transform. Algorithm calculates phase of the signal and the output signal from the processor is signal frequency which is imported into Matlab and drawn. Looking at the results of the experiment and comparing them with the results calculated in Matlab, it’s apparent that ARM algorithm estimates instantaneous signal frequency, which proves that the algorithm is successfully implemented.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:435567
Study programmeTitle: Electrical Engineering and Information Technology
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike i informacijske tehnologije (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike i informacijske tehnologije)
Type of resourceText
File originBorn digital
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Created on2019-03-13 19:35:31