Direction-Of-Arrival Estimation Based On Joint Sparse Recovery

G. Zheng, Li Ying, Lu Da, Yizhe Sun, Ming Sun
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Abstract

For the problem of Direction-Of-Arrival (DOA) Estimation using sensor arrays, we present a DOA estimation algorithm, called Joint-Sparse DOA. Firstly, DOA estimation is cast as the joint-sparse recovery problem. Then, norm is approximated by arctan function to express joint sparsity and DOA estimation can be obtained by minimizing approximate norm. Finally, the minimization problem is solved by quasi-Newton method to estimate DOA. Simulation results show that our algorithm has some advantages over most existing methods: it needs a small number of snapshots to estimate DOA, while the number of sources need not be known a priori. Besides, it improves the probability of resolution, and it can also handle the correlated sources well.
基于联合稀疏恢复的到达方向估计
针对传感器阵列的到达方向估计问题,提出了一种联合稀疏到达方向估计算法。首先,将DOA估计转化为联合稀疏恢复问题。然后用arctan函数逼近范数来表示联合稀疏性,通过最小化近似范数得到DOA估计。最后,利用拟牛顿法估计DOA,解决了最小化问题。仿真结果表明,该算法与大多数现有方法相比具有优势:只需少量快照即可估计DOA,且不需要先验地知道源的数量。不仅提高了分辨的概率,而且能很好地处理相关源。
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