# Figure shows a pair of signals s1 (t) and s2 (t) that are

# Figure shows a pair of signals s1 (t) and s2 (t) that are

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 below, 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, where E is the signalenergy.