Synthesis of a polarization-controlled pattern for a wideband array by solving a second-order cone program

Jointly optimizing complex baseband FIR filters as element weights using second-order cone programming (SOCP) can synthesize a wideband array pattern having an arbitrarily polarized main beam with, in terms of L₁, L₂, L_∞, or other norms, its frequency response flattened and cross-polarization components strictly limited across the entire beam. Sidelobes and SNR measures can be just as flexibly controlled. A high-level interface to a fast solver minimizes the required programming.