2.6.2.6 Trigonometric Fourier series

Problem: Expand function \( f(x) \) in a Fourier series in the form of a superposition of simple harmonics, given on the segment line \( [-T / 2, T / 2] \). Plot: 1. Amplitude and phase spectra; 2. Graphs of partial sums of the Fourier series \( S_{3}(x), S_{10}(x), S_{20}(x), S_{100}(x) \). The values of parameters \( T, h, p \) and \( q \) are given in the table: