Communication over a Noisy Channel | Probabilistic Systems Analysis and Applied Probability | Electrical Engineering and Computer Science | MIT OpenCourseWare
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Alice is trying to transmit to Bob the answer to a yes-no question, using a noisy channel. She encodes "yes" as 1 and "no" as 0 , and sends the appropriate value. However, the channel adds noise; specifically, Bob receives what Alice sends plus a 𝒩(0, σ^2) noise term (the noise is independent of what Alice sends). If Bob receives a value greater than 1 / 2 he interprets it as "yes"; otherwise, he interprets it as "no". (a) Find the probability that Bob understands Alice correctly. (b) What happ
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