A binary digital communication system employs the signals So(t)=0, s() A, 01T for transmitting the information. This is called on-off signaling. The demodulator cross-correlates the received signal r() with s(t) and samples the output of the correlator at T. a Determine the optimum detector for an AWGN channel and the optimum threshold, assuming that the signals are equally probable. b Determine the probability of error as a function of the SNR. How does on-off signaling compare with antipodal signaling?