Question 4- (20 pts) At the output of the matched filter of a ternary communication system (M=3), we observe either of t
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Question 4- (20 pts) At the output of the matched filter of a ternary communication system (M=3), we observe either of t
Question 4- (20 pts) At the output of the matched filter of a ternary communication system (M=3), we observe either of the following samples, T= A + no when Symbol 1 is transmitted r = no when Symbol 2 is transmitted r = A + no when Symbol 3 is transmitted Consider all three symbols are transmitted equally likely and channel noise is Gaussian with zero mean and variance o. a) What is the probability of symbol error in terms of A and do, given that symbol 2 was transmitted. b) Compute the probability of symbol error in terms of A and go c) Given o2 = 9, what should be the value of A, so that the probability of symbol error would be 5 x 10-8. d) Recompute the value of A when of = 36. Interpret your results.
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