An antipodal binary modulation employs, with equal

An antipodal binary modulation employs, with equal probability, the waveforms
By assuming an AWGN channel with PSD  determine:
a) The expression for the SNR at the input of the detector (that is the SNR based on r) by assuming that an optimum receive filter ψ1 is used.
b) The expression for the SNR loss by assuming that the receive filter
is used in place of the optimum one.