Show that with the Wiener filter, the broadband output SNR is always greater than or equal to the broadband input SNR, i.e., oSNR( 𝐡 W ) ≥ iSNR. Show that by minimizing the narrowband MSE of the...

Show that with the Wiener filter, the broadband output SNR is always greater than or equal to the broadband input SNR, i.e., oSNR( 𝐡_W
) ≥ iSNR.

Show that by minimizing the narrowband MSE of the residual noise, J_n
[ ( f ) ] , with the constraint that the desired signal is not distorted yields