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Question: Unable to evalulate plot of Fourier transform for some functions

Question:Unable to evalulate plot of Fourier transform for some functions

Stretto 260 Maple
fourier-transform plotting
May 07 2019
1 
with(inttrans):
sinc := x->piecewise(x = 0, 1, sin(Pi*x)/x/Pi):
S := x->sinc(x):
SE := x->sinc(x)*exp(-x^2):
plot(abs(fourier(SE(x),x,s)),s=0..5)

 

works fine for S but when trying to plot SE I get

Warning, unable to evaluate the function to numeric values in the region; see the plotting command's help page to ensure the calling sequence is correct

 

I simply want to plot the fourier transform of a function so I can see it's frequency response. Maple seems to be breaking for more complex functions. It seems to be doing this when it can't evaluate the function exactly, which I don't care for plots.

 
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