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6. (20 points) The sample function X(t) of a stationary random process Y(t) is given by: X(t) = …………) where w is a constant, Y(t) and 0 are statistically independent, and 0 is uniformly distributed between 0 and 2n. Find ...
5.(20 Points) In an optical communications system, the photodetector output is a poisson random variable K. either with an expected value of 10,000 photons (hypothesis H0) or with an expected value of 1,000,000 photons (hypothesis H1) Given that both hypotheses ...
4. (15 points) Transmit 100 bits. The probability of transmitting bit “I”, P[I]=p. Let Xi denote the number of bit “1” is transmitted. (a) What is Px33(x)? Are X1 and X2 independent? (b) Define Y= X1 +X2 +.••+X100. (c) Describe ...