Beampattern Synthesis for Phased Array With Dual-Phase-Shifter Structure

This communication proposes a convex optimization algorithm to synthesize desirable beampattern for phased array with the dual-phase-shifter (DPS) structure. In the DPS structure, dual phase shifters are combined into one beamforming weight. Compared with conventional phased array, the moduli of the weight vector are not necessarily fixed constants in the DPS structure but can be changed in a continuous interval. For this reason, we propose a method that turns the beampattern synthesis problem into a convex optimization problem. The method can be readily implemented and efficiently solved using freely accessible routines. We consider how to obtain the weight vector with two beampattern synthesis problems. The first one is to maximize the mainlobe gain (or minimize the mainlobe loss) when the notch level is determined. The second one is to minimize the notch level when the mainlobe gain (or the mainlobe loss) is determined. In both cases, we can get suboptimal solutions. Under different situations, numerical results of simulations confirm the effectiveness of the two algorithms.