Simplified beamforming on phase-only arrays

In this paper, a novel, simplified beamforming on phase-only antenna arrays is presented, which stemmed from the odd symmetric characteristic construction of phasor after persymmetry when optimum beamforming. By the odd symmetric characteristic construction of phasor, the actual freedom of phase-only antenna arrays was lessened by half. The phase-only gradient vector and Hessian matrix of the weight were formulated by using some proper matrix transforms and mathematical analysis. The optimal numerical phasor was obtained by phase-only conjugate gradient algorithm and Newton algorithm. The simulations demonstrated that the new approach can null interferences efficiently, but with dramatic reduced computational complexity.