Show that by maximizing the WNG subject to the distortion less constraint, we obtain the DS beamformer: Show that the maximum DF beamformer is given by where 𝐭 -1 ( cos 𝜃 d ) is the eigenvector...

Show that by maximizing the WNG subject to the distortion less constraint, we obtain the DS beamformer:

Show that the maximum DF beamformer is given by

where 𝐭_-1
( cos 𝜃_d
) is the eigenvector corresponding to the maximum eigenvalue of the matrix 𝚪^−
1
_T,
0,
𝜋𝐆 ( cos 𝜃_d
) 𝐆_T
( cos 𝜃d ) and 𝜍 ≠ 0 is an arbitrary real number.