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A random binary wave y(t) is given by y(t) = ∑n=-∞∞ Xn p(t-nT-φ) where p(t) = u(t) - u(t-T), u(t) is the unit step function and φ is an independent random variable with uniform distribution in [0,T]. The sequence {Xn} consists of independent and identically distributed binary valued random variables with P{Xn=+1} = P{Xn=-1}=0.5 for each n. The value of the autocorrelation Ryy(3T/4) ≜ E[y(t)y(t-3T/4)] equals __________.
Correct : 0.25
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