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A novel adaptive beamforming algorithm against large direction-of-arrival (DOA) mismatch without using optimization toolboxes is proposed. In contrast to previous works, this new beamformer employs two reconstructed matrices, the interference-plus-noise covariance matrix and the desired signal-plus-noise covariance matrix, instead of their real sample covariance matrix, respectively. These reconstructed covariance matrices are used to obtain an orthogonal subspace, which is orthogonal to thedoi:10.1186/1687-6180-2014-91 fatcat:a3okxzrf2rchjgkc5axpzj5afy