DOA Estimation of Strictly Noncircular Sources in Wireless Sensor Array Network via Block Sparse Representation

In this article, the direction of arrival estimation (DOA) of strictly noncircular sources with unknown mutual coupling is considered for wireless sensor array network (WSAN), and then a joint weighted block sparse recovery algorithm based on weighted subspace fitting (WSF) is proposed for DOA estimation.. In the proposed method, two block sparse representation models associated with the WSF principle are firstly constructed to remove the influence of unknown mutual coupling. Then, combining the advantages of noncircularity, a joint weighted block sparse recovery scheme is proposed to estimate DOA, in which the noncircular MUSIC-like (NC MUSIC-Like) spectrum function is utilized to form a weighted matrix for enhancing the solutions sparsity. Finally, the desired DOAs can be achieved with the help of the reconstructed block sparse matrix. Extensive experiments are simulated to verify that the proposed method can achieve superior estimation performance under the condition of unknown mutual coupling.