DOA Estimation Under Mutual Coupling of Uniform Linear Arrays Using Sparse Reconstruction
Yuexian Wang, Ling Wang, Jian Bing Xie, Matthew Trinkle, Brian W.‐H. Ng · IEEE Wireless Communications Letters · 2019
A novel sparse reconstruction method is developed for direction of arrival (DOA) estimation in the presence of unknown mutual coupling of uniform linear arrays. In the proposed method, a sparse representation for single measurement vector (SMV) is first derived. Then, it is shown that the problem size can be reduced by a linear transformation to eliminate the redundant components in the SMV. Finally, by taking advantage of the banded symmetric Toeplitz structure of the mutual coupling matrix, a reweighted ℓ1-norm minimization subject to an error-constrained ℓ2-norm is introduced to determine the DOA estimates without mutual coupling compensation, further enhancing the sparsity and providing a robustness against the noise. Simulation results demonstrate the superiority of the proposed method over its state-of-the-art counterparts.