Fourier Series for a Periodic Function
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Salik Mallick
on 29 Sep 2020
Edited: KALYAN ACHARJYA
on 30 Sep 2020
Why is the graph not complete?
%% Problem 1_Example_17.2
display('Problem 1_Example_17.1')
ao=1/4;
an=[1/[(n^2)*(pi^2)]]*((1-(-1)^n));
N = 100000;
Wo = pi;
t = -1:.001:11;
f = zeros(1,length(t));
for n = 1:2:N
bn = (-1)^n+1;
f = f + an*cos(Wo*n*t) + bn*sin(Wo*n*t);
end
% Plotting and plot formatting is done here
plot(t,f)
axis([-1 11 -1.1 1.1])
title(['Fourier Series Representation w/ ' num2str(N) ' Terms'],'FontSize',16)
xlabel('Time')
ylabel('Function Value')
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Accepted Answer
KALYAN ACHARJYA
on 30 Sep 2020
Edited: KALYAN ACHARJYA
on 30 Sep 2020
display('Problem 1_Example_17.1')
ao=1/4;
N = 100000;
Wo = pi;
t = -1:.001:11;
f = zeros(1,length(t));
n =linspace(1,2,length(t));
bn = (-1).^n+1;
an=1./((n.^2).*(pi^2)).*((1-(-1).^n));
f = f + an.*cos(Wo*n.*t) + bn.*sin(Wo*n.*t);
% Plotting and plot formatting is done here
plot(t,f);
grid on;
title(['Fourier Series Representation w/ ' num2str(N) ' Terms'],'FontSize',16)
xlabel('Time');
ylabel('Function Value');
axis tight;
Is this?
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