a help with fourier transform
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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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Accepted Answer
Image Analyst
on 30 Aug 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.
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Image Analyst
on 30 Aug 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.
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