Could you please answer the above 3 bullet points Fourier se

Could you please answer the above 3 bullet points?

Fourier series of full-wave rectified sinusoid A full-wave rectified sinusoid is a sinusoidal signal where only the positive lobe is kept. It is often used in DC power supply design Consider the following full-wave rectified sinusoid with a frequency of 50Hz x(t) = 240cos(2 pi t + 0.25 pi), for 0 lessthanorequalto t lessthanorequalto 0.01 0, for 0.01 lessthanorequalto t lessthanorequalto 0.02 Write MATLAB code to plot x(t) for 0 lessthanorequalto t lessthanorequalto 0.5. Write MATLAB code to compute and plot (2N + 1) Fourier coefficients of x(t), a_-N,.. ., a_0,..., a_N. Use N = 40. Write MATLAB code to plot the signal that is constructed from the above (2N + 1) Fourier coefficients of x(t).

Solution

clear all;

close all;

clc;

t=0:0.01:0.5;

x=240*cos(2*pi*t+0.25*pi);

subplot(3,1,1);

plot(t,x);

xlabel(\'time\');

ylabel(\'amplitude\');

title(\'lnput signal\');