Robust adaptive beamformers with linear matrix inequality constraints

In this paper, a novel robust adaptive beamformers with linear matrix inequality (LMI) constraints on magnitude response is proposed. The recently proposed robust adaptive beamformer has a drawback that some of the constraints are semi-infinite. Although the sampling technique provides a good approximation of the optimization problem, the cost is the heavy computation load. In order to overcome this problem, new LMI constraints are derived in this paper to replace the semi- infinite constraints so that the sampling is avoid and an exact solution can be obtained.