Summation of a series without for loop

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John
John 2014-12-28
评论： Iyad Khuder 2020-11-12
Fourier series of a square wave can be represented as:
F(t)=(4/pi)*sum(1/(2k+1)*sin((2k+1)pi*t/T)
Where, sum is over k=0 to inf, T is period = 1. I need to plot F(t) for first 10 terms in the series. I can do this using loops, but is there any way to do this without any loop?

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Shoaibur Rahman
Shoaibur Rahman 2014-12-28
Yes you can do this! Use vectorization technique. Try to understand the line F = ... in the following code. If you get any hard time with this, please let me know. This is a great question though.
T = 1; t = -3:0.01:3; % change time vector as what you need
n = 10; k = 0:n-1; % n is the number of terms
F = 4/pi * (1./(2*k+1)) * sin(((2*k+1)'*pi*t)/T);
plot(t,F)

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