Fourierova serija i primjena na periodičke signale

This paper discusses the problem of the Fourier series, which is one of the methods of Fourier analysis. Fourier series are used to represent periodic functions using the sine and cosine functions. In the first part, the function and its properties are defined. Since the Fourier series is based on trigonometric functions, they are emphasized. In the second part, the series are defined. Convergence criteria are listed and explained. Each convergence criterion is accompanied by an example of a series whose convergence can be proven using that criterion. In the third part, the trigonometric Fourier series is defined and examples of the development of some functions into the Fourier series are given. All formulas of the Fourier series and Fourier coefficients are derived. The application of the Fourier series is also mentioned in this section. In the last chapter, examples of signal approximation by the Fourier series are presented. MATLAB is introduced and the used commands are listed and explained. In MATLAB, triangular, sawtooth, and square signals are defined and plotted, and their approximation by the Fourier series