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Student Support Forum: 'Fourier transform of a piecewise function' topicStudent Support Forum > General > "Fourier transform of a piecewise function"

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K Vos
11/20/09 10:20am

Say I have a piecewise function like
Piecewise[{{Sin[x]/x, \[Pi] < Abs[x] < 3 \[Pi]},{0, Abs[x] > 3 \[Pi] || Abs[x] < \[Pi]}}]
That is, the sinc function on the intervals (-3pi,-pi),(pi,3pi) and zero everywhere else.

How would I go about plotting the FourierTransform of this function? I can generate the plot with the standard sinc function but when I try it with this function Mathematica doesn't seem to stop evaluating.

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Subject (listing for 'Fourier transform of a piecewise function')
Author Date Posted
Fourier transform of a piecewise function K Vos 11/20/09 10:20am
Re: Fourier transform of a piecewise function yehuda ben-s... 11/25/09 02:19am
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