Question

This problem needs to be solved using MATLAB!

I need help with this homework. I will give 100% rating to the answer that is successfully executed and completed. Please provide screenshots of both the MATLAB code and the plots.

Problem 4:

1. sketch the signal g(t) = t² and find the exponential Fourier series to represent g(t) over the interval [-1,1] (Find D_n' s).
2. Plot D_n for n = -20:20. (use stem function in MATLAB and provide your code as well)
3. Sketch the Fourier series φ(t) for all the values of t.

Please remember to include both the MATLAB code and plots.

Thank you!

Answer 1

(B) and (C) MATLAB CODES:

clear;
clc;
t=-5:0.0001:5;
n=-20:20;
Dn=2*cos(n*pi)./((n.^2)*pi^2);
Dn(n==0)=1/3;
x=Dn*(exp(-j*pi*n'*t));
figure(1)
stem(n,Dn);
grid on;
title('Dn plot');
xlabel('n');
ylabel('Dn');
figure(2)
plot(t,x);
title('fourier series plot from -5 to 5');
xlabel('t');
ylabel('phi(t)');
grid on;

OUTPUTS:

(C)

SCREEN SHOT OF CODE: