Please show all work and answer parts A & B

A. Write a matlab code to perform Fourier Series analysis of a given periodic time domain signal. The inputs for the matlab function are: 1. time domain signal, 2. signal periodicity 3. number of freq domain harmonics considered. Apply your code to analyse sinusoidal a sinusoidal signal of your choice,present the graphs of the input and the frequency domain output (magnitude and present the graphs of the input and the frequency domain output ( magnitude and phase) B. Using g the applet in the website Chttp:/falstad.com/fourier) identify the gibbs phenomenon for atleast 2 type of input signals. Show atleast 3 cases of modifying the Fourier coefficients and explain how that effects the gibbs phenomenon