Show that with the tradeoff gain, the broadband output SNR is always greater than or equal to the broadband input SNR: oSNR( H T, 𝜇 ) ≥ iSNR, ∀𝜇 ≥ 0. Prove that the different performance measures...

Show that with the tradeoff gain, the broadband output SNR is always greater than or equal to the broadband input SNR: oSNR( H_T,
𝜇) ≥ iSNR, ∀𝜇 ≥ 0.

Prove that the different performance measures obtained with the Wiener gain and the power subtraction and magnitude subtraction methods are related by