In wireless communication, the signals with noncircularity are widely applied. In this letter, we consider the problem of two-dimensional direction of arrival estimation with L-shaped array for strictly noncircular sources. To obtain more precise estimation with lowest possible computational complexity, we construct two connection-matrices to establish the relation between the data corresponding to the two orthogonal uniform linear arrays in L-shaped array so that we can still exploit all information of the extended received signal after dimensionality reduction. On this basis, the rank-reduction technique and one-dimensional polynomial root finding technique are able to be utilized only twice to obtain unpaired estimation results. Finally, a concise angle pairing is performed via the third connection-matrix. Compared with existing algorithms, the proposed algorithm can obtain more precise estimation and better resolution. Simulation results are provided to validate the superiority of the proposed algorithm.

中文翻译：

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利用L形阵列的连接矩阵对严格非圆形源进行二维DOA估计

在无线通信中，具有非圆形度的信号被广泛应用。在这封信中，我们考虑了严格非圆形源的L形阵列的二维到达方向估计问题。为了以最低的计算复杂度获得更精确的估计，我们构造了两个连接矩阵以建立与L形阵列中两个正交均匀线性阵列相对应的数据之间的关系，以便我们仍然可以利用扩展接收信号的所有信息降维后。在此基础上，降秩技术和一维多项式求根技术仅能被利用两次以获得不成对的估计结果。最后，通过第三连接矩阵进行简洁的角度配对。与现有算法相比，提出的算法可以获得更精确的估计和更好的分辨率。仿真结果证明了该算法的优越性。