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Efficient and low-complexity beamforming design is an important element ofsatellite communication systems with mobile receivers equipped with phasedarrays. In this work, we apply the simultaneous perturbation stochasticapproximation (SPSA) method with successive sub-array selection for finding theoptimal antenna weights that maximize the received signal power at a uniformplane array (UPA). The proposed algorithms are based on iterative gradientapproximation by injecting some carefully designed perturbations on theparameters to be estimated. Additionally, the successive sub-array selectiontechnique enhances the performance of SPSA-based algorithms and makes them lesssensitive to the initial beam direction. Simulation results show that ourproposed algorithms can achieve efficient and reliable performance even whenthe initial beam direction is not well aligned with the satellite direction.

SPSA-Based Successive Beamforming for Mobile Satellite Receivers with Phased Arrays