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I managed to solve few of those questions , but I'm not manage to answer 3 of them correctly,

the question is: given an image and its fourier transform, find another image fourier transform ,using fourier properties to explain why it would look like that.

enter image description here

enter image description here

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Imagine the same problem in 1-dimension and you will be able to find the answer.

Hint: If you know the Fourier transform of a delta function (or time-shifted delta function) and the Fourier transform of a rectangular window, then you should be able to answer the above problem.

P.S. Cannot comment because I need 50+ reputation to do so.

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  • $\begingroup$ well the first one is a circle convolved with deltas, circle is that weird big circle in fourier, and deltas is a sin function, so I will get a circle with some lines of black with the first. the second one is not clear to me, if you can edit your comment and explain I will vote it up. thanks @Maxtron $\endgroup$ – user152711 Sep 12 '18 at 21:58

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