An eigenvector based method for estimating DOA and sensor gain-phase errors

This paper addresses the problem of direction of arrival (DOA) estimation in the presence of sensor gain-phase errors. We derive an interesting conclusion that the Cramer–Rao Bound (CRB) on DOA and gain-phase error estimation accuracy is independent of sensor phase errors. Then, we propose a new method by using the Hadamard product of the signal eigenvectors and its conjugate. In addition, we derive a sufficient condition for unambiguous DOA estimation of the proposed method. We observe that the proposed method performs independently of phase errors, which is same as the CRB. Furthermore, it is robust to the correlated signals. Simulation results verify the above-mentioned observations and the effectiveness of the proposed method.