An octave/MATLAB script to show the Fourier series of a string of impulse functions: Difference between revisions

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(Created page with " <nowiki> % This is a script to see if the Fourier series with unity coefficients is % really a series of impulse functions. M=100; % Number of terms T=1e-3; % the period of...")
 
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This checks this identity. <math>\sum_{k=-\infty}^\infty \delta(t-kT) = \sum_{k=-\infty}^\infty e^{-j2\pi kt/T}</math>
<nowiki>
<nowiki>
% This is a script to see if the Fourier series with unity coefficients is
% This is a script to see if the Fourier series with unity coefficients is

Revision as of 16:21, 2 November 2016

This checks this identity. 

% This is a script to see if the Fourier series with unity coefficients is
% really a series of impulse functions.
M=100; % Number of terms 
T=1e-3;  % the period of the sampling function is 1 mS.
t=0:T/1000:10*T;

f=zeros(size(t));
for k=-M:M
  v = 1;
  f = f+v*exp(-j*2*pi*k*t/T);
end
plot(t,f)
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