In this letter, a novel robust block sparse recovery algorithm by using the weighted subspace fitting (WSF) is proposed to deal with the direction-of-arrival (DOA) problem under the condition of unknown mutual coupling. Firstly, a novel block sparse representation signal model based on the WSF is established to settle the effect of unknown mutual coupling. Then, the sparse constraint problem is investigated, and a regularization criterion between the sparsity penalty and subspace fitting error is given. Finally, the DOA estimation problem can be converted into a block sparse recovery problem. Some experimental results are carried out to prove the performance of proposed method in the case of unknown mutual coupling.

中文翻译：

---

通过块稀疏恢复进行 DOA 估计的鲁棒加权子空间拟合

在这封信中，提出了一种新的利用加权子空间拟合（WSF）的鲁棒块稀疏恢复算法来处理未知互耦合条件下的到达方向（DOA）问题。首先，建立了一种新的基于WSF的块稀疏表示信号模型，以解决未知互耦的影响。然后，研究了稀疏约束问题，给出了稀疏惩罚与子空间拟合误差之间的正则化判据。最后，可以将 DOA 估计问题转化为块稀疏恢复问题。进行了一些实验结果来证明所提出的方法在未知互耦情况下的性能。