Analiza diskretnih signala

undergraduate thesis

• Title (english): Analysis of discrete signals
• Author: Marija Kuljanac
• Mentor: Lana Horvat Dmitrović (mentor)
• Committee member: Lana Horvat Dmitrović (predsjednik povjerenstva)
• Committee member: Ana Žgaljić Keko (član povjerenstva)
• Committee member: Mate Puljiz (član povjerenstva)
• Granter: University of Zagreb; Faculty of Electrical Engineering and Computing; Zagreb
• Defense date and country: 2020-07-08, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Computing

Abstract

U ovom radu dane su matematičke osnove diskretnih signala i sustava te primjeri njihove primjene u raznim područjima. Također se teorijski obrađuju neke od najčešćih metoda analize, točnije diskretna Fourierova transformacija (specijalni slučaj Z-transformacije) i diskretna kosinus transformacija. Rad se osvrće i na Higuchi metodu - jednu od fraktalnih metoda analize signala koja se koristi za izračunavanje fraktalnih dimenzija signala koje klasične metode analize ne mogu vjerno prikazati. Dana je i implementacija navedenih metoda na nekim osnovim primjerima u MATLAB-u.

Abstract (english)

This paper presents the mathematical foundations of discrete-time signals and systems and examples of their real-world applications in various fields. It also deals with the theoretical background of some of the most common methods of signal analysis, namely discrete Fourier transform (a special case of Z-transform) and discrete cosine transform. This paper also covers the Higuchi method which is used for calculating fractal dimensions of signals that cannot be faithfully represented by classical methods of signal analysis. The implementation of the methods mentioned is also given on some basic examples in MATLAB.

• Keywords: diskretni signali; diskretni sustavi; diskretna Fourierova transformacija (DFT); Z-transformacija; diskretna kosinus transformacija (DCT); Higuchi metoda
• Keywords (english): discrete signals; discrete systems; discrete Fourier transform (DFT); Z-transform; discrete cosine transform (DCT); Higuchi method
• Language: croatian
• URN:NBN: urn:nbn:hr:168:674512
• Study programme: Title: Computing; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka računarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2023-01-14 09:14:41