Question: Figure shows a sequence x[n] for which the value of x[3] is an unknown constant c. The sample with amplitude c is not necessarily drawn

Figure shows a sequence x[n] for which the value of x[3] is an unknown constant c. The sample with amplitude c is not necessarily drawn to scale. Let

X1[k] = X[k]ej2?3k/5.

Where X[k] is the five-point DFT of x[n]. The sequence x1[n] plotted in Figure is the inverse DFT of X1[k]. What is the value of c?

-1 -1 0 1

-1 -1 0 1

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