Hamiltonian algorithm with momentum attenuation for adaptive beamforming of ESPAR antenna

Hamiltonian algorithm with momentum attenuation is proposed for adaptive beamforming of ESPAR antenna. Hamiltonian algorithm is a good tool for nonlinear optimizations, and intends to meet the two conflicting requirements to being deterministic and to being free from local minima in the non-linear optimization. The proposed algorithm is an extension of Hamiltonian algorithm by introducing the momentum attenuation. This makes the solution search over a good range with a high probability. Simulations show that the beamforming of ESPAR antenna with the proposed algorithm can steer its beam to desired signal and its deeper null to the interference.