Adaptive WEighting of Signals via One Matrix Entity (AWESOME)

We present the Adaptive WEighting of Signals via One Matrix Entity (AWESOME) algorithm for adaptive array beampattern synthesis. The array geometry can be arbitrary. Compared to the conventional approaches of using data-adaptive weight vectors at the array output for beampattern synthesis, which we refer to as the Vector Weighting Approaches (VWA), weight matrices are used at the array output by AWESOME for much improved flexibility for adaptive array beampattern synthesis. Globally optimal solutions can be determined efficiently for AWESOME due to the convex optimization formulations. AWESOME can be considered as the Semidefinite Relaxation (SDR) of the VWA counterpart. Numerical examples are presented to show that AWESOME allows for strict controls of main-beam shape and peak sidelobe level while retaining the capability of adaptive nulling of strong interferences and jammers.