Show that the lth spectral mode output SNR of the MVDR filter is not larger than that of the Wiener filter: Show that with the controlled distortion filters, we have and Show that the tradeoff filter...

Show that the lth spectral mode output SNR of the MVDR filter is not larger than that of the Wiener filter:

Show that with the controlled distortion filters, we have

and

Show that the tradeoff filter is given by

where 𝜇 ≥ 0 is a Lagrange multiplier