Consider the two-user, synchronous CDMA transmission system described in Problem 16.6. P...

Consider the two-user, synchronous CDMA transmission system described in Problem 16.6. P(b1 = 1) = P(b2 =1) =1/2 and P(b1, b2) = P(b1)P(b2). The individually optimum detector makes decisions based on the MAP criterion. That is, the detector computes the a posteriori probabilities.

And

a. Show that an equivalent test statistic for this individually optimum MAP detector for the information bit b1 is

b. By substituting b1 = 1 and b1 = −1 into the expression in (a), show that the test statistic in (a) is equivalent to selecting b1 according to the relation