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venkyelectrical
Asked: 2022-05-03T09:05:05+00:00 In:

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 are equally likely, (a) design a MAP hypothesis test using observed values of random variable K: (b) what the probability of false alarm?

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 are equally likely, (a) design a MAP hypothesis test using observed values of random variable K: (b) what the probability of false alarm?

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 are equally likely, (a) design a MAP hypothesis test using observed values of random variable K: (b) what the probability of false alarm?

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