Show that the beamformer that maximizes the output SNR is given by where 𝐭′  ( cos 𝜃 d ) is the eigenvector corresponding to the maximum eigenvalue of the matrix 𝐑 − 1 𝐯 𝐆 ( cos 𝜃 d ) 𝐑 𝐱 𝐆...

Show that the beamformer that maximizes the output SNR is given by

where 𝐭′  ( cos 𝜃_d
) is the eigenvector corresponding to the maximum eigenvalue of the matrix 𝐑^−
1
<sub>𝐯

𝐆</sub>
( cos 𝜃_d
) 𝐑_𝐱𝐆^T
( cos 𝜃_d
) and 𝜍 ≠ 0 is an arbitrary real number.

Show that the maximum SNR beamformer that minimizes the MSE is given by