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undergraduate thesis
Hilbertova transformacija
2022. urn:nbn:hr:190:113351
Radošević, Karlo
University of Rijeka
Faculty of Engineering

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Radošević, K. (2022). Hilbertova transformacija (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:113351

Radošević, Karlo. "Hilbertova transformacija." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2022. https://urn.nsk.hr/urn:nbn:hr:190:113351

Radošević, Karlo. "Hilbertova transformacija." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2022. https://urn.nsk.hr/urn:nbn:hr:190:113351

Radošević, K. (2022). 'Hilbertova transformacija', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 19 December 2024, https://urn.nsk.hr/urn:nbn:hr:190:113351

Radošević K. Hilbertova transformacija [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2022 [cited 2024 December 19] Available at: https://urn.nsk.hr/urn:nbn:hr:190:113351

K. Radošević, "Hilbertova transformacija", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:190:113351

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Metadata
TitleHilbertova transformacija
Title (english)Hilbert transformation
AuthorKarlo Radošević
MentorIvan Dražić (mentor)
Committee memberViktor Sučić (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
Rijeka
Defense date and country2022-07-13, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
Kroz prvo poglavlje se upoznajemo s Davidom Hilbertom i njegovim najvažnijim postignućima, te uvodimo pojam Hilbertove transformacije. Nadalje, opisujemo njezinu definiciju, primjenjujemo ju na trigonometrijske funkcije sinus i kosinus, na delta i pravokutnu funkciju, a zatim i na periodičnu funkciju. Osim toga, izvodimo i dokazujemo osnovna svojstva Hilbertove transformacije koja se primjenjuju u složenijim izračunima radi njihova pojednostavljenja. Nakon temeljnih svojstava transformacije, kroz zadnja dva poglavlja su objašnjeni primjeri primjene Hilbertove transformacije kod ispitivanja ispravnosti rada indukcijskog stroja i pri analizi EKG signala u medicini.
Abstract (english)
In the first chapter we familiarise ourselves with David Hilbert and his main achievements and introduce the concept of Hilbertian transformation. We also describe the definition of the Hilbert transform, apply it to the trigonometric functions sine and cosine, to the delta and rectangular functions, and then to the periodic function. In addition, the basic properties of the Hilbert transform are proved and derived, which are applied to simplify more complex calculations. After the basic properties, the last two chapters explain examples of their application in testing the correct operation of an induction machine and in analysing ECG signals in medicine.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:113351
Study programmeTitle: Undergraduate University Study of Electrical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2022-07-13 21:47:02