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For the ternary ASK system of Problem 8.3.1, what is P[DE], the probability that the receiver decodes the wrong symbol?

Problem 8.3.1

In a ternary amplitude shift keying (ASK) communications system, there are three equally likely transmitted signals {s0,s1,s2}. These signals are distinguished by their amplitudes such that if signal si is transmitted, then the receiver output will be

Where a is a positive constant and N is a Gaussian (0, σN ) random variable. Based on the output X, the receiver must decode which symbol si was transmitted. What are the acceptance sets Ai for the hypotheses Hi that si was transmitted?

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  • Category:- Statistics and Probability
  • Reference No.:- M91821841

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