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A subspace-based method for DOA estimation of uniform linear array in the presence of mutual coupling

机译:存在互耦时基于子空间的均匀线性阵列DOA估计方法

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This paper develops a subspace-based method for direction-of-arrival (DOA) estimation of uniform linear array (ULA) in the presence of mutual coupling. As the mutual coupling coefficient between two sensor elements is inversely related to their separation and is negligible when they are separated by a few wavelengths, the mutual coupling matrix (MCM) of a ULA can be well approximated as a banded symmetric Toeplitz matrix, which greatly reduces the number of unknown parameters to be estimated. Using the subspace principle, we propose a new method for joint estimation of the DOAs of incoming signals and banded symmetric Toeplitz MCM by reconstructing the steering vector to a specific matrix form. The proposed method achieves a better performance especially for weak signals than the method in [8], since the whole array, instead of the middle subarray in [8], is used for DOA estimation. Simulation results illustrate that both DOAs and mutual coupling coefficients can be estimated efficiently with the proposed method.
机译:本文开发了一种基于子空间的,在存在相互耦合的情况下均匀线性阵列(ULA)的到达方向(DOA)估计方法。由于两个传感器元件之间的相互耦合系数与它们的分离成反比,并且在它们被几个波长分开时可以忽略不计,因此ULA的相互耦合矩阵(MCM)可以很好地近似为带状对称Toeplitz矩阵,这在很大程度上减少要估计的未知参数的数量。利用子空间原理,我们提出了一种新的方法,通过将转向矢量重构为特定的矩阵形式,来联合估计传入信号和带状对称Toeplitz MCM的DOA。与[8]中的方法相比,由于整个阵列而不是[8]中的中间子阵列用于DOA估计,因此所提出的方法比[8]中的方法具有更好的性能,特别是对于弱信号。仿真结果表明,该方法可以有效地估计DOA和相互耦合系数。

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