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Question 1: Create a MATLAB function that outputs the trigonometric Fourier series.
Inputs:
1. Any periodic function (function_period) over a period in the form of a discretely sampled array
2. A time vector with the interval [t0, t0 + T), which the periodic noise signal is evaluated over as t
3. Harmonics of the Fourier series, using (series_harmonics)
Outputs:
1. The Fourier series coefficients a0,an and bn (with an and bn being stored as row vectors)
2. The Fourier series approximation of the input function evaluated with series_harmonics harmonics, saving as fseries_app
Coefficients are to be computed numerically. Integrals are to be found using a Riemann sum; do not use trapz or syms functions.
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