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ESPRIT-Like Two-Dimensional DOA Estimation for Coherent Signals

机译:相干信号的类似ESPRIT的二维DOA估计

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摘要

A second-order statistics-based algorithm is proposed for two-dimensional (2D) direction-of-arrival (DOA) estimation of coherent signals. The problem is solved by arranging the elements of the correlation matrix of the signal received from a uniform rectangular array to a block Hankel matrix. In noiseless cases, it is shown that the rank of the block Hankel matrix equals the number of the DOAs and is independent of the coherency of the incoming waves. Therefore, the signal subspace of the block Hankel matrix can be estimated properly and spans the same column space as the array response matrix. Two matrix pencil pairs containing the DOA parameters are extracted from the signal subspace. This matrix pencil-based estimation problem is then resolved using our previously proposed pairing-free 2D parameter estimation algorithm. Simulation results show that the proposed algorithm outperforms the spatial smoothing method in terms of mean square error (MSE).
机译:提出了一种基于二阶统计量的算法,用于相干信号的二维(2D)到达方向(DOA)估计。通过将从均匀矩形阵列接收的信号的相关矩阵的元素布置到块汉克尔矩阵来解决该问题。在无噪声的情况下,表明块汉克尔矩阵的秩等于DOA的数量,并且与入射波的相干性无关。因此,可以正确地估计块汉克尔矩阵的信号子空间,并且该子空间跨越与阵列响应矩阵相同的列空间。从信号子空间中提取两个包含DOA参数的矩阵铅笔对。然后,使用我们先前提出的无配对2D参数估计算法解决基于矩阵铅笔的估计问题。仿真结果表明,该算法在均方误差(MSE)方面优于空间平滑方法。

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