2-Dimensional Arrival Angle Estimation and Self-calibration Algorithm for L-shaped Array in the Presence of Mutual Coupling

In this paper, a novel blind mutual coupling compensation algorithm especially tailored to L-shaped array(simplified as LCAC) is proposed. This method exploits the incident signals to carry out both 2-Dimensional(2-D) direction of arrival estimation and mutual coupling calibration simultaneously. Based on the banded symmetric Toeplitz structure of coupling matrix between sensors in each sub array and the symmetry structure of coupling matrix between sub arrays, the presented method requires neither the multidimensional nonlinear search nor iterative computation. Theoretical analyses and computer simulations show that the new algorithm possesses high estimation precision, low computational complexity and better accuracy of self calibration.