As to the phased array antenna in the mobile satellite reception, a novel fast beamforming algorithm is presented based on simultaneous perturbation stochastic approximation (SPSA). Compared to previous algorithms, the proposed approach estimates the gradient of the received power simply relative to the phase difference between two adjacent phase shifters because the difference remains the same in a uniform array. All phase shifters are updated simultaneously according to the gradient. As the digital phase shifters are assigned from a discrete set, there is an error between the theoretical and practical values. The error is regarded as a random perturbation when the gradient is estimated. A large number of simulation experiments verify that the proposed algorithm is effective and efficient in both the elevation beam scan and the two-dimensional beam scan and that it provides a good tracking performance to obtain the optimal signal.

Fast Beamforming Based on SPSA for Mobile Satellite Antenna

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Fast Beamforming Based on SPSA for Mobile Satellite Antenna