Question: A communication system for transmitting binary data sends S1 for a 2 and S2 for a -1 with equal probability. The reception is Y =

A communication system for transmitting binary data sends S1 for a 2 and S2 for a -1 with equal probability. The reception is Y = S(i) +N , (i= 1, 2), where N is Gaussian noise N[0,4]. Find the threshold value to minimize the probability of error. Decision rule that decides S1 for Y > and S2 < .

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