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master's thesis
Rastav audio signala uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice
Split: University of Split, University of Split, Faculty of science, 2017. urn:nbn:hr:166:480102
Čvrljak, Toni
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Čvrljak, T. (2017). Rastav audio signala uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:480102

Čvrljak, Toni. "Rastav audio signala uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice." Master's thesis, University of Split, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:480102

Čvrljak, Toni. "Rastav audio signala uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice." Master's thesis, University of Split, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:166:480102

Čvrljak, T. (2017). 'Rastav audio signala uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice', Master's thesis, University of Split, Faculty of Science, accessed 25 April 2024, https://urn.nsk.hr/urn:nbn:hr:166:480102

Čvrljak T. Rastav audio signala uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice [Master's thesis]. Split: University of Split, Faculty of Science; 2017 [cited 2024 April 25] Available at: https://urn.nsk.hr/urn:nbn:hr:166:480102

T. Čvrljak, "Rastav audio signala uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice", Master's thesis, University of Split, Faculty of Science, Split, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:166:480102

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Metadata
TitleRastav audio signala uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice
Title (english)Decomposition of audio signal using eigenvalues and vectors of Hankel matrix
AuthorToni Čvrljak
MentorMilica Klaričić Bakula (mentor)
Committee memberMilica Klaričić Bakula (predsjednik povjerenstva)
Committee memberIvan Slapničar (član povjerenstva)
Committee memberAndrijana Ćurković (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2017-03-01, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Cilj rada je razložiti složeni signal na jednostavnije komponente te korištenjem rezultata numeričke linearne algebre ubrzati proces dekompozicije. Višekomponentni signal ekstrahiran je na jednokomponentne signale uz pomoć svojstvenih vrijednosti i vektora Hankelove matrice konstruirane od toga signala. Izvodimo dekompoziciju nad ekstrahiranim komponentama sve dok one ne zadovolje kriterij za jednokomponentni signal (MSC). Prilikom računanja svojstvenih vrijednosti i vektora korištena je Lanczosova metoda koja je posebno korisna u traženju nekoliko najvećih i najmanjih svojstvenih vrijednosti. Predloženi algoritam je proveden na signalu note A4 odsvirane na klaviru.
Abstract (english)
This work aims to decompose the complex signal into its simple components as well as to accelerate the process of decomposition by using the results of numerical linear algebra. If we put multicomponent signal into Hankel matrix, we can find its monocomponents by using eigenvalues and eigenvectors of the matrix. We continue decomposing extracted components until they satisfy criterion for monocomponent signal (MSC). Eigenvalues and eigenvectors are calculated according to the Lanczos method which is particularly useful in detecting few highest or lowest eigenvalues. The suggested algorithm is performed on the signal of note A4 played on piano.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:480102
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching
Course: major in computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
RepositoryRepository of Faculty of Science
Created on2018-05-29 14:15:38