a help with fourier transform

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maryam 94
maryam 94 2014-8-30
评论： maryam 94 2014-9-2
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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Image Analyst
Image Analyst 2014-8-30
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 个评论
Image Analyst
Image Analyst 2014-8-30
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 2014-9-2
dont worry, its not. thanks for helping :)

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