Block Sparse Representation based DOA Estimation for FDA with Unknown Mutual Coupling

Frequency diverse array (FDA) capable of diversity in both frequency and phase domain can improve range and angle resolution, which is attractive in Direction of Angle (DOA) estimation. But in practical realization, DOA estimation performance will be degraded by the mutual coupling effect between antennas. In this paper, a block sparse representation based mutual coupling calibration method is proposed for FDA DOA estimation. Steering vector parameterization method for effective block sparse representation utilize the inherent structure of received signals. And l
₁
-SVD (singular value decomposition) method are adopted to make full use of the Toeplitz structure of the mutual coupling matrix and the whole array information of FDA. Simulation results show that the proposed method is effective for FDA with unknown mutual coupling.