Fourier series of a sawtooth wave

Question

Oscar Kilby 2020-12-18

0
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/697565-fourier-series-of-a-sawtooth-wave

评论： Pat Gipper 2020-12-18

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?