The formula for the optimum threshold in the receiver of Figure is, in general, given by Equation

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The formula for the optimum threshold in the receiver of Figure is, in general, given by Equation (4.37). Discuss, in graphical terms, how this optimum choice affects the contributions of the two terms in Equation (4.35) for the average probability of error P by considering the following two cases:

(i) p1 > p1

(ii) p1 < p0, where p0 and p1 are the a priori probabilities of symbols 0 and 1, respectively.

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