Question
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Problem 1
Given the periodic function f(t) shown, find the following:
i) The value of a0 where:
π0 =
1
π
β« π(π‘)ππ‘
π
0
ii) Expression for an where:
ππ =
2
π
β« π(π‘)cos(ππ‘)ππ‘
π
0
iii) Expression for bn where:
ππ =
2
π
β« π(π‘)sin(ππ‘)ππ‘
π
0
T: is the period of the waveform.
Problem 2
Write a Matlab code that will plot the following functions using the results of Problem 1.
Make sure the code is well represented, documented, and complete.
Also, place the resulting plots below. The plots must be labeled and titled correctly.
i) πΉ1
(π‘) = π0 + β ππ cos(ππ‘) + ππsin(ππ‘)
3
π=1
ii) πΉ2
(π‘) = π0 + β ππ cos(ππ‘) + ππsin(ππ‘)
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%%%%%% Code to plot F1(t)
%%%
t = [0:0.01:20];
a0 = 4;
F1 = a0;
for n=1:3
F1 = F1 + (4*sin(2*n)/n) * cos(n*t);
F1 = F1 + (4*(1-cos(2*n))/n) * sin(n*t);
end
figure(1);
plot(t,F1);
xlabel('t (seconds)');
ylabel('F1');
title('F1(t)');
%%%
%%% Code to plot F2(t)
%%%
t = [0:0.01:20];
a0...
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