High Resolution DOA Estimation Algorithm for Underdetermined Quasi-stationary Signals

Liangjun Zhang, Xin Zheng, Changyong Chen, Jiwei Tang, Jingxiao Li, Z. Feng
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Abstract

In this paper, a high resolution Direction of Arrival (DOA) estimation algorithm based on Khatri-Rao product and PARAFAC decomposition was proposed for a linear array time-delay underdetermined hybrid model of quasi-stationary signals. First, the algebraic structure of quasi stationary signal is used to form the Khatri-Rao(KR) subspace underdetermined blind identification problem. Then, the number of sources and initial value for iteration are estimated using subspace method for improving the estimation accuracy and iteration speed. Finally, the optimal search step linear search iterative least squares method is applied to realize the PARAFAC decomposition, and achieving the DOA estimation of multiple signals. The experimental results show that the proposed algorithm can achieve the higher resolution DOA estimation in the underdetermined hybrid model, especially in the case of low SNR and multi-target condition which has closing incoming directions.
欠定准平稳信号的高分辨率DOA估计算法
针对准平稳信号线性阵列时延欠定混合模型,提出了一种基于Khatri-Rao积和PARAFAC分解的高分辨率到达方向估计算法。首先,利用拟平稳信号的代数结构形成Khatri-Rao(KR)子空间欠定盲识别问题;然后,利用子空间法估计源个数和迭代初值,提高估计精度和迭代速度;最后,应用最优搜索步长线性搜索迭代最小二乘法实现PARAFAC分解,实现对多个信号的DOA估计。实验结果表明,该算法在欠确定混合模型中,特别是在低信噪比和多目标入射方向接近的情况下,能够实现较高分辨率的DOA估计。
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