Consider the finite length sequence x n in Figure Let X(z) be the z transform of x n If we sample X(z) at z e j(2 4)k , k 0, 1, 2, 3, we obtain X 1 k X(z) z e j(2 4)k, k 0, 1, 2, 3 Sketch the sequence x 1 n obtained as the inverse DFT of X 1 k 3 2 1 0 1 2 3 4 5 6 7 8 9

Question: Consider the finite-length sequence x[n] in Figure. Let X(z) be the z-transform of x[n]. If we sample X(z) at z = e j(2?/4)k , k

Consider the finite-length sequence x[n] in Figure. Let X(z) be the z-transform of x[n]. If we sample X(z) at z = e^j(2?/4)k, k = 0, 1, 2, 3, we obtain?

X₁[k] = X(z) |_{z = e}^j(2?/4)k,? ? ? ? ? ? k = 0, 1, 2, 3.

Sketch the sequence x₁[n] obtained as the inverse DFT of X₁[k].

3 -2 -1 0 1 2 3 4 5 6 7 8

3 -2 -1 0 1 2 3 4 5 6 7 8 9

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