Figure shows a pair of signals s1(t) and s2(t) that are orthogonal to each other over the observation interval 0 £ t £ 3T. The received signal is defined by
where w(t) is white Gaussian noise of zero mean and power spectral density N0/2.
a. Design a receiver that decides in favor of signals s1(t) or s2(t), assuming that these two signals are equiprobable.
b. Calculate the average probability of symbol error incurred by this receiver for E/N0 = 4, where E is the signal energy.
