EC > GATE 2015 SET-3 > DFS
Let x̃[n] = 1 + cos(πn/8) be a periodic signal with period 16. Its DFS coefficients are defined by ak = (1/16) ∑n=015 x̃[n] exp(-jπkn/8) for all k. The value of the coefficient a31 is __________.

Correct : 0.5

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