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 second-order cone programming (SOCP).