An Effective Algorithm for Direction-of-Arrival Estimation of Coherent Signals with ULA

Q3 Arts and Humanities Icon Pub Date : 2023-03-01 DOI:10.1109/ICNLP58431.2023.00031
Ziyu Mao, Bo Li, Lei Dong, Yani Qiao, Hao Sun, Yuji Li
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Abstract

In the field of array signal processing, multiple signal classification (MUSIC) algorithm is a classical spectrum estimation algorithm. However, when there are coherent signals, the rank of signal covariance matrix is generally less than the number of signals, which makes the estimation inaccurate. Taking uniform linear array (ULA) as an example, this paper presents a high-precision DOA estimation algorithm by reconstructing noise subspace. This algorithm uses not only the auto-covariance but also cross-covariance information and constructs a new augmented matrix with the auto-covariance matrix. Noise subspace and eigenvalue matrix can be obtained by singular value decomposition of matrix. For more reliable data, on the basis of a large number of experiments, a noise subspace consisting of the eigenvectors corresponding to the new eigenvalue matrix is reconstructed, and finally the DOA estimation is obtained through spectrum peak search. It is shown by the simulation results show that the improved algorithm can maintain the accuracy well of DOA with effect even under the conditions of low signal-to-noise ratio and small number of snapshots.
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一种有效的ULA相干信号到达方向估计算法
在阵列信号处理领域,多信号分类(MUSIC)算法是一种经典的频谱估计算法。然而,当存在相干信号时,信号协方差矩阵的秩通常小于信号的个数,使得估计不准确。以均匀线性阵列(ULA)为例,提出了一种基于重构噪声子空间的高精度DOA估计算法。该算法既利用自协方差信息,又利用交叉协方差信息,用自协方差矩阵构造新的增广矩阵。通过对矩阵进行奇异值分解,得到噪声子空间和特征值矩阵。为了获得更可靠的数据,在大量实验的基础上,重构由新特征值矩阵对应的特征向量组成的噪声子空间,最后通过谱峰搜索得到DOA估计。仿真结果表明,改进后的算法即使在低信噪比和少量快照的情况下也能很好地保持DOA的精度。
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