Consider the images shown. The image on the right was obtained by: (a) multiplying the ima...

Consider the images shown. The image on the right was obtained by: (a) multiplying the image on the left by (−1)x+y; (b) computing the DFT; (c) taking the complex conjugate of the transform; (d) computing the inverse DFT; and (e) multiplying the real part of the result by (−1)x+y; Explain (mathematically) why the image on the right appears as it does.