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In this paper, we present some new investigations on a robust adaptive beamforming via LMS-type procedure which has been proposed recently. This beamformer self-corrects and tracks desired source location errors or variations regardless of the eigenstructure of the input correlation matrix and array shape. This algorithm and MUSIC show an identical asymptotic variance in localization for immobile sources, whereas for the mobile case, the former is more efficient. Simulations show the proper performance of the aforementioned algorithm for resolving targets in low SNR and even for few number of snapshots in comparison with other high resolution methods. Also surveys show its efficiency in tracking moving sources.