Harmonics of Fourier series

Question

Ben Hamill 2019-11-15

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评论： Alex Walton 2020-11-23

How do I Plot the 1st, 3rd and 5th harmonic of the Fourier series,

z(t)= 3/2 + 6/pi sin(t) + 6/3pi sin(3t) + 6/5pi sin(5t) + ...

individually overlapped on one plot.

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Answer 1

Jyothis Gireesh 2019-11-18

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The following code may help you to plot the first, 3rd and fifth harmonics of the signal

t = 0:0.1:4*pi; 
  
numTerms = 3; 
fourierExpansion = zeros(numTerms, numel(t)); 
for i=1:numTerms 
   fourierExpansion(i,:) = (6/((2*i - 1)*pi))*sin((2*i - 1)*t); 
end 
z = sum(fourierExpansion) + 3/2; 
plot(t,[z;fourierExpansion]); 
legend('z','b1','b2','b3'); 