SINR loss of the dominant mode rejection beamformer

The signal to interference and noise ratio (SINR) characterizes a beamformer´s ability to attenuate unwanted signals. SINR loss quantifies how close the performance of a beamformer designed with sample statistics is to the performance of a beamformer designed with ensemble statistics. This paper conjectures that the SINR loss of the dominant mode rejection (DMR) beamformer is beta-distributed and provides substantial numerical evidence supporting this claim. Building on results from random matrix theory, the paper proposes a simple perturbative model for the sample covariance eigenvectors, which are known to control DMR performance [1]. SINR loss for the proposed model agrees with the beta distribution conjecture.