3. For the periodic signal shown below, find the period T and compute the main harmonics. For our purposes, “main” means having at least 2% of the amplitude of the fundamental harmonic. Use MATLAB to plot the signal for two periods. Also plot approximations to the signal using finitely many harmonics..
MATLAB code:
function f=sig(t)
if t<=1
f=t;
elseif t<=2
f=1;
elseif t<=3
f=0;
elseif t<=4
f=t-3;
elseif t<=5
f=1;
else
f=0;
end
fplot(@sig,[0 6])
xlabel t
ylabel x(t)
---------------
a0=0.5;
ft=a0;
t=0:0.001:6;
for n=1:1000
an=(3./(2.*pi*n.^2)).*cos(2*pi*n/3)+(1/(pi*n)).*sin(4.*pi.*n/3)-3/(2.*pi.^2*n.^2);
bn=(3./(2.*pi.^2.*n.^2)).*sin(2.*pi.*n./3)+(1./(pi.*n)).*cos(4.*pi.*n./3);
ft=ft+an.*cos(n.*2.*pi.*t./3)+bn.*sin(n.*2.*pi.*t./3);
end
plot(t,ft)
3. For the periodic signal shown below, find the period T and compute the main harmonics....
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