Adaptive beamforming based on stochastic parallel gradient descent algorithm for single receiver phased array

In this paper, a phased array antenna system with a single receiver is proposed and Stochastic Parallel Gradient Descent (SPGD) algorithm is introduced to implement adaptive beamforming. In this system the power level of the output from the single receiver is the only criterion for beamforming. SPGD algorithm searches the optimum phase shift values of the phase shifters to produce a beam pointing to the direction of arrival signal. All phase shifters are perturbed simultaneously and all phase shift values are adjusted in one iteration to improve the convergence rate. The numerical simulation demonstrates the performance of the SPGD algorithm used in adaptive beamforming of single receiver phased array.