Fourier series of a sawtooth wave

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Oscar Kilby
Oscar Kilby 2020년 12월 18일
댓글: Pat Gipper 2020년 12월 18일
Hello all,
I've been trying to display a fourier series of a sawtooth wave (first 10 harmonics) using the code below (its fairly poorly written i know)
V = 1;
T = 1;
w = 2*pi*(1/T);
t = linspace(0 , T, 1000);
fourierwave = ((2*V/pi)*sin(w*t)) + ((2*V/2*pi)*sin(2*w*t)) + ((2*V/3*pi)*sin(3*w*t)) + ((2*V/4*pi)*sin(4*w*t)) + ((2*V/5*pi)*sin(5*w*t)) + ((2*V/6*pi)*sin(6*w*t)) + ((2*V/7*pi)*sin(7*w*t)) + ((2*V/8*pi)*sin(8*w*t)) + ((2*V/9*pi)*sin(9*w*t)) + ((2*V/10*pi)*sin(10*w*t));
plot(t, fourierwave, 'g-');
However its giving me an incorrrect output when run and im not sure why, i've got some code that works correctly which ive compared to the code above and im not sure what's causing the difference in outputs.
Would someone be able to explain whats wrong with the code/equation above?

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Pat Gipper
Pat Gipper 2020년 12월 18일
You are multiplying by pi on the 2nd through 10th harmonics instead of dividing.
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Pat Gipper
Pat Gipper 2020년 12월 18일
Correct. The plot will look much more sawtooth once you make this change.

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