Fourier analysis through examples using Wolfram Mathematica

Veta Buralieva, Jasmina and Stojanov, Done (2020) Fourier analysis through examples using Wolfram Mathematica. In: ITRO 2020, 30 Oct 2020, Zrenjanin, Republic of Serbia.

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Abstract

The representation of a function in the form of a series is fairly common practice in mathematics.Fourier series is an expansion of a periodic function f(x) in which base set is the set of sine and cosine functions. In attempt to define the Fourier series of a nonperiodic functions is obtained the Fourier transform, as a continuous representation. In this paper we provide the Fourier series on several functions. Also, through examples we discuss whether the Fourier transform of some function exist or not, and we consider some properties, such as linearity; Fourier transform of the operator for modulation, translation and time-frequency shift. Then using the mathematical package Wolfram Mathematica, we visually present the results that we obtain for Fourier series and Fourier transform, which in fact is real and complex function, respectively.

Item Type: Conference or Workshop Item (Paper)
Subjects: Natural sciences > Matematics
Divisions: Faculty of Computer Science
Depositing User: Jasmina Veta Buralieva
Date Deposited: 26 Jan 2021 12:52
Last Modified: 26 Jan 2021 12:52
URI: https://eprints.ugd.edu.mk/id/eprint/27331

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