fourier series for function and period
3 views (last 30 days)
Show older comments
hi, trying to calculate the fourier series expansion in the period -3<t<3
f(t)={2, -3<t<0; {0, 0<t<3.
any help would be appreciated.
0 Comments
Accepted Answer
Star Strider
on 4 May 2014
Edited: Star Strider
on 4 May 2014
You can actually do this by hand quite easily. Using the Symbolic Math Toolbox to do the same thing:
syms t w
f1 = 2;
f1_lims = [-3 0];
f2 = 0;
f2_lims = [0 3];
% Integrate to get the Fourier series for ‘f1’:
F1 = int(exp(-j*w*t) * f1, t, f1_lims(1), f1_lims(2))
% Do the same for ‘f2’:
F2 = int(exp(-j*w*t) * f2, t, f2_lims(1), f2_lims(2))
% Add them
FT = F1 + F2;
% Plot the result:
figure(1)
subplot(2,1,1)
ezplot(abs(FT), [-10*pi, 10*pi])
subplot(2,1,2)
ezplot(angle(FT), [-10*pi, 10*pi])
Experiment with this on your own to see how the transform changes if the function is symmetrical about t=0 instead ( i.e. f2=2 instead of 0 ) . How would you code a symmetric or asymmetric triangle pulse? Have some fun with it!
Note that the value of the Fourier transform at w=0 is not NaN. Think L’Hôpital’s rule...
0 Comments
More Answers (0)
See Also
Categories
Find more on Calculus in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!