On the Relationship between the Worst-Case Optimization-Based and Probability-Constrained Approaches to Robust Adaptive Beamforming

In this paper, an interesting relationship between the worst-case optimization-based and probability-constrained approaches to the robust adaptive beamformer design is found both in the cases of Gaussian and non-Gaussian steering vector mismatch. The established relationship demonstrates that the probabilistic beamformer design may be approximately interpreted in terms of the worst-case design, and quantifies the parameters of the latter design in terms of the beamformer outage probability