Consider a digital communication system in which the received symbol y is equal to : y = x+I+n, where n is AWGN with variant sigma_n^2, I models interference independent of both x and n and x is the data taking values +A and -A. Assume I can take on values -1/2 and +1/2 with equal probability, what is probability of error if the decision threshold is 0?
what is the probaility of error if the interference I is instead a Gaussian random variable independent of x and n, with zero mean and variant sigma_I^2?