Using the Woodbury identity, show that the MVDR beamformer can be expressed as a function of the statistics of the observation by Show that by minimizing the narrowband desired signal distortion index...

Using the Woodbury identity, show that the MVDR beamformer can be expressed as a function of the statistics of the observation by

Show that by minimizing the narrowband desired signal distortion index with the constraint that the narrowband noise reduction factor is equal to a positive value, we obtain the tradeoff beamformer:

where 𝜇 > 0 is a Lagrange multiplier.