Solved Problem: Autocorrelation of Random Process X(t) = √2 sin(2πt + φ) | GATE EC 2014 Q60

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EC > GATE 2014 SET-1 > Random Processes

Consider a random process X(t) = √2 sin(2πt + φ), where the random phase φ is uniformly distributed in the interval [0,2π]. The auto-correlation E[X(t₁)X(t₂)] is

A

cos(2π(t₁ + t₂))

B

sin(2π(t₁ - t₂))

C

sin(2π(t₁ + t₂))

D

cos(2π(t₁ - t₂))

Explanation

Correct : d

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