Fourier sine series plotting first term, first five term, and first 15 terms on one graph
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Katie Beeler
le 4 Mar 2024
Commenté : Katie Beeler
le 4 Mar 2024
I need help plotting only the first terms of my fourier sine series, then the first five terms, and the first fifteen terms on one graph. This is my code thus far:
x = 0:0.1:25;
n = 10;
ysin = fsin(x,n);
plot(x,ysin),grid
xlabel('x'),ylabel('sin function')
% Define functions
function f = fsin(x,n)
f = zeros(1,numel(x));
f = 2;
for i = 1:n
an = -4*(cos(i*pi/2)-1)/(i*pi);
f = f + an*sin(i*pi*x/50);
end
end
For reference my series is
. I made L = 50 and my sum is running from n=1 to infinity.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1634021/image.png)
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Réponse acceptée
Walter Roberson
le 4 Mar 2024
x = 0:0.1:25;
n = 1;
ysin = fsin(x,n);
plot(x,ysin)
hold on
n = 5;
ysin = fsin(x,n);
plot(x,ysin)
hold on
n = 15;
ysin = fsin(x,n);
plot(x,ysin)
hold on
grid on
xlabel('x')
ylabel('sin function')
hold off
% Define functions
function f = fsin(x,n)
f = zeros(1,numel(x));
f = 2;
for i = 1:n
an = -4*(cos(i*pi/2)-1)/(i*pi);
f = f + an*sin(i*pi*x/50);
end
end
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