GATE EC 2014 Set 1 — Question 60

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MCQ+2 / -0.67MediumAutocorrelation & PSDRandom ProcessesCommunications

Communications → Random Processes → Autocorrelation & PSD

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Consider a random process X(t)=2sin(2πt+ϕ)X(t) = \sqrt{2}\sin(2\pi t + \phi), where the random phase ϕ\phi is uniformly distributed in the interval [0,2π][0, 2\pi]. The auto-correlation E[X(t1)X(t2)]E[X(t_1)X(t_2)] is
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