Question: Let xp(n) be a periodic sequence with fundamental period N. Consider the following DFTs: (a) What is the relationship between X1(k) and X3(k)? (b) Verify

Let xp(n) be a periodic sequence with fundamental period N. Consider the following DFTs:

DFT Xp(n) X1(k) DET X3(k) 3N

(a) What is the relationship between X1(k) and X3(k)?

(b) Verify the result in part (a) using the sequence

xp (n) = {. 1, 2, 1, 2, 1, 2, 1, 2 .}

DFT Xp(n) X1(k) DET X3(k) 3N

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