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ECE · Q82

Signal Processing

Engineering and GATE · ECE · question 82

Q82

The N-point DFT of a sequence x[n], 0 ≤ n ≤ N - 1 is given by X [ K ] = 1 N _n = 0^N - 1 x [ n ] e^ - j 2 NnK,0 K N - 1 Denote this relation as X = DFT(x). For N = 4, which one of the following sequences satisfies DFT (DFT (x)) = x.

The N-point DFT of a sequence x[n], 0 ≤ n ≤ N - 1 is given by

Denote this relation as X = DFT(x). For N = 4, which one of the following sequences satisfies DFT (DFT (x)) = x.
A.
x = [1 2 3 r]
B.
x = [1 2 3 2]
Answer
C.
x = [1 3 2 2]
D.
x = [1 2 2 3]

Answer: Option B

Solution

Answer: Option B
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