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This letter proposes a robust superdirective frequency-invariant beamforming method for circular sensor arrays. First, the beampattern is accurately transformed into an equivalent form using the property of circular arrays, and the expressions of directivity factor and white noise gain are correspondingly modified. Second, a closed-form weighting vector is accurately derived based on the minimum mean...
A general superdirective beamforming method which is suitable for arbitrary-shape sensor arrays is proposed, and its performance for linear arrays is studied in this paper. Based on Gram-Schmidt orthogonalization, the optimal solutions of superdirectivity are all expressed in closed-form without any approximations. The optimal beampattern and the maximum directivity factor are decomposed into mode-beams...
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