An Efficient Implementation method for Superdirective Beamforming with Linear Arrays

Superdirective beamforming can achieve a narrower mainlobe width compared to conventional methods. However, its high sensitivity to errors and interferences limits its practical applications. This paper proposes an efficient implementation method for robust superdirective beamforming in linear arrays. First, a tridiagonal matrix is constructed based on the noise covariance matrix, and the optimal superdirective beam for the linear array is decomposed by exploiting the structural properties of Toeplitz matrices. The resulting eigenbeams exhibit different directivity and robustness. Subsequently, robust superdirective beampatterns of arbitrary orders are synthesized by selecting specific eigenbeams. Simulation results demonstrate that the proposed method achieves robust superdirectivity with a favorable trade-off between robustness and directivity.