the time domain Fourier Series approximation of square wave function for the following number of harmonics ?

Compute the Fourier series of a function, r(t), plot the resulting approximation in terms of its spectral content and in time. The function is a periodic square wave of period T, duty cycle D, and amplitude A.

r(t)={█(A,0≤t≤D@0,         D<t≤T)┤

This is the square wave we discussed in class. From this square wave, you are required to find the following:

• A plot of the time domain Fourier Series approximation of this function for the following number of harmonics: n=5, n=10, n=50, n=100, n=200. You can assume A=1, T=0.001, D=0.00025.
• Create a stem plot showing the amplitude of each of the first 100 harmonic values of An and Bn. Do this again for Cn.
• Now that a time series representation of r(t) can be generated based upon the Fourier series coefficients, use this time series data, for n=5, n=10, n=50, n=100, n=200, to compute the FFT of the time series data. The output of this will be a stem plot showing you the spectral content of this time series. Compare these stem plots to the theoretical stem plots for the ideal square wave found in part 1b.