Fourier Series Application

Application for Fourier series analysis of periodic signals

Created by Antonio R. Mederos Barrera for the Signals and Systems course in the 2025/26 academic year (Bachelor's Degree in Telecommunications Engineering, School of Telecommunications and Electronics Engineering, University of Las Palmas de Gran Canaria).

As input, it must be specified the function (of x and using numbers), the number of terms to be calculated from the Fourier series, the number of periods of the signal, and whether or not the phase is used for signal reconstruction.

The program sequentially displays, with each new term, the sinusoidal signal that is added to the series, the reconstructed signal alongside the desired signal, and the magnitude and phase of the terms of the Fourier series.

NOTE: The input function can also be implemented piecewise with the piecewise function. For example: piecewise(x < pi, 0, x >= pi, 1), where a step function is described. The first part of the period have the value 0, while the second part of the period is 1.

Requirements: Symbolic Math Toolbox

Date: November 2025