A Robust and Efficient Algorithm for Coprime Array Adaptive Beamforming
A Robust and Efficient Algorithm for Coprime Array Adaptive Beamforming
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DOI：
10.1109/tvt.2017.2704610
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发表时间：
2018-02-01
影响因子：
6.8
通讯作者：
Shi, Zhiguo
中科院分区：
文献类型：
--
作者：
Zhou, Chengwei;Gu, Yujie;Shi, Zhiguo
在相同物理传感器数量的情况下，同质数阵列比均匀线性阵列具有更大的阵列孔径，并且自由度增加，具有更好的空间分辨率。然而，对于自适应波束形成问题，现有的针对一般阵列设计的自适应波束形成算法无法充分利用协素数阵列所提供的协素数特性。本文提出了一种兼顾鲁棒性和效率的新型互素阵列自适应波束形成算法。具体而言，我们首先将协素数阵列分解为一对稀疏均匀线性子阵列，并分别对它们的接收信号进行处理。根据协素数的性质，通过匹配稀疏均匀线性子阵列对的超分辨空间谱，可以唯一估计每个源的到达方向（DOA）。在此基础上，提出了一个联合协方差矩阵优化问题来估计每个源的功率。利用估计的doa及其对应的功率重构干扰加噪声协方差矩阵，估计信号转向矢量。从鲁棒性和效率两方面进行了理论分析，仿真结果验证了该算法的有效性。
Coprime array offers a larger array aperture than uniform linear array with the same number of physical sensors, and has a better spatial resolution with increased degrees of freedom. However, when it comes to the problem of adaptive beamforming, the existing adaptive beamforming algorithms designed for the general array cannot take full advantage of coprime feature offered by the coprime array. In this paper, we propose a novel coprime array adaptive beamforming algorithm, where both robustness and efficiency are well balanced. Specifically, we first decompose the coprime array into a pair of sparse uniform linear subarrays and process their received signals separately. According to the property of coprime integers, the direction-of-arrival (DOA) can be uniquely estimated for each source by matching the super-resolution spatial spectra of the pair of sparse uniform linear subarrays. Further, a joint covariance matrix optimization problem is formulated to estimate the power of each source. The estimated DOAs and their corresponding power are utilized to reconstruct the interference-plus-noise covariance matrix and estimate the signal steering vector. Theoretical analyses are presented in terms of robustness and efficiency, and simulation results demonstrate the effectiveness of the proposed coprime array adaptive beamforming algorithm.