Beamspace Preprocessing with an Improved Robustness Against Out-of-Sector Sources Using Second-Order Cone Programming

A new approach to beamspace preprocessing with an improved robustness against out-of-sector interfering sources is developed. The beamspace matrix filter is designed based on proper tradeoffs between the in-sector (passband) source distortion and out-of-sector (stopband) source attenuation. Computationally efficient convex formulations for these beamspace matrix filter design problems are derived using se-cond-order cone programming (SOCP).