Please show all working.Cheers

Image text transcribed for accessibility: In the case of BPSK, this meant that the decision threshold for minimum BER was zero (this we pretty much derived by inspection). Now consider the case of binary transmission where 1's and 0's are transmitted with probabilities p1 and p0, respectively, and that p1 p0. Assume that following matched filtering and sampling, the received symbol is given by r = plusminus A + n where and A is the pulse amplitude at the sampling instant. Find the optimum decision threshold a Derive the probability of error pe in terms of Q(·) function(s) and the decision threshold a.

Want an answer?