a help with fourier transform

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maryam 94
maryam 94 le 30 Août 2014
Commenté : maryam 94 le 2 Sep 2014
can any one help me with this question please ?
the question says: using fourier transform properties, prove that sinc(t)*sinc(t) = sinc(t)
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Azzi Abdelmalek
Azzi Abdelmalek le 30 Août 2014
Is this a Matlab question?
maryam 94
maryam 94 le 2 Sep 2014
yes

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Image Analyst
Image Analyst le 30 Août 2014
Assuming your * means convolution, which is often two *, and knowing that convolution in one domain is multiplication in the other domain:
fft(sinc**sinc) = fft(sinc) * fft(sinc) = rect*rect = rect
and
ifft(rect) = sinc = same as what you started with.
so sinc**sinc = sinc.
  2 commentaires
Image Analyst
Image Analyst le 30 Août 2014
Hopefully I didn't just do your homework for you. You didn't tag it as homework, but it kind of looks like it. I wouldn't want you to be caught plagiarizing.
maryam 94
maryam 94 le 2 Sep 2014
dont worry, its not. thanks for helping :)

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