a help with fourier transform

can any one help me with this question please ?

the question says: using fourier transform properties, prove that sinc(t)*sinc(t) = sinc(t)

[Azzi Abdelmalek]

Is this a Matlab question?

[maryam 94]

yes

Answer 1

[Image Analyst]

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.

[Image Analyst]

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]

dont worry, its not. thanks for helping :)