Use the Cauchy–Schwarz inequality to show that the transmitter and receiver filters given by…

Use the Cauchy–Schwarz inequality to show that the transmitter and receiver filters given by Equation 9.2–83 minimize the noise-to signal ratio σ2ν /d2, where σ2ν is the noise power given by Equation 9.2–77, where Snn( f ) = N0/2.