Let X[k] = k + 1, 0 ≤ k ≤ 7 be 8-point DFT of a sequence x[n], where X [k] = \sum ↙\stackrel{N−1}{n = 0}⁡x [n] e^{−j2\pi nk\/ N} The value (correct to two decimal places) of \sum ↙\stackrel{3}{n = 0}⁡x [2n] is ______

GATE Electronics and Communications (EC) 2018 Solved Paper

Question : 65 of 65

Marks: +1, -0

Let X[k] = k + 1, 0 ≤ k ≤ 7 be 8-point DFT of a sequence x[n], where

X [k] = ∑ ↙{n = 0}↖{N−1}⁡x [n] e^{−j2π nk\/ N}

The value (correct to two decimal places) of

∑ ↙{n = 0}↖{3}⁡x [2n]

is ______

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