Question 1: Doing 2 DFTs in one go Consider two length N vectors with real numbers in them-a, y ERN. Let's compose a new vector c = x+iy € C (assigning its real part from a and imaginary from y). Let C, X and Y be the DFT of c, z and y respectively. (i) Show that Ik Ck + CN-k 2 Ck-CN-k 2i and y=

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