Show that the maximum array gain beamformer, 𝐡 max ( f , cos 𝜃 d ) , which maximizes the array gain, is given by where 𝜍( f ) ≠ 0 is an arbitrary frequency-dependent complex number Show that by...

Show that the maximum array gain beamformer, 𝐡_max
( f , cos 𝜃_d
) , which maximizes the array gain, is given by

where 𝜍( f ) ≠ 0 is an arbitrary frequency-dependent complex number

Show that by minimizing the narrowband MSE of the residual noise, J_r
[ 𝐡( f ) ] , subject to the constraint 𝐂^H
( f , 𝜃_d, 𝜃_1
∶
N
) 𝐡( f ) = 𝐢_c, we obtain the LCMV beamformer: