Fourier Series plotting in matlab

How do you plot the first ten harmonics of a fourier series that has a dc a0 component of 1 and a bn component of (4/npi)sin(npi/2t) and no an component. This code is giving me the value of the first ten harmonics but I don't know how to plot the summation
x=3/pi;
f=0;
t=linspace(-3,2)
for i=1:1:10
an=x*1/i
f=f+an*sin(i*(pi/2).*t);
end

Answers (1)

Ahmet Cecen
Ahmet Cecen on 3 May 2015
Edited: Ahmet Cecen on 3 May 2015
Is this what you are looking for? There are better ways to do it, but for now focus on learning how the figure, plot and hold commands interact.
x=3/pi;
f=0;
t=linspace(-3,2)
figure;
hold on;
for i=1:1:10
an=x*1/i
f=f+an*sin(i*(pi/2).*t);
plot(t,f)
end

2 Comments

Ok how would you just plot it if you had it in the standard forurier form and you are trying to find the sum of the first ten harmonics because I don't think it is taking into account the dc
If you just want the final signal:
x=3/pi;
f=0;
t=linspace(-3,2)
for i=1:1:10
an=x*1/i
f=f+an*sin(i*(pi/2).*t); % Summation Term
end
f=f+1; % Add DC A0 component to the final signal.
figure;plot(t,f);

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Asked:

on 3 May 2015

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on 3 May 2015

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