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I'm doing "Digital Image" online course. I tried to solve the following question $x(n_1,n_2)$ is defined as $x(n_1,n_2)=(−1)^{(n_1+n_2)}$ when $0≤n_1$, $n_2≤2$ and zero elsewhere. Denote by $X(k_1,k_2)$, where $0≤k_1$, $k_2≤2$, the DFT of $x(n_1,n_2)$. What is the value of $X(1,2)$?

The answer should be 4, but I get a complex answer. Do I start right or I'm using wrong formula?

enter image description here

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  • $\begingroup$ Can someone help please? $\endgroup$ – theateist Jun 25 '16 at 2:57
  • $\begingroup$ Put your working in TeX form so it is easier to read. $\endgroup$ – mattos Jun 25 '16 at 4:16

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