金爱锁, 章飞. 基于Toeplitz矩阵集重构的相干信源二维DOA估计[J]. 微电子学与计算机, 2021, 38(8): 66-72.
引用本文: 金爱锁, 章飞. 基于Toeplitz矩阵集重构的相干信源二维DOA估计[J]. 微电子学与计算机, 2021, 38(8): 66-72.
JIN Aisuo, ZHANG Fei. Two-dimensional DOA estimation of coherent sources based on reconstruction of toeplitz matrix sets[J]. Microelectronics & Computer, 2021, 38(8): 66-72.
Citation: JIN Aisuo, ZHANG Fei. Two-dimensional DOA estimation of coherent sources based on reconstruction of toeplitz matrix sets[J]. Microelectronics & Computer, 2021, 38(8): 66-72.

基于Toeplitz矩阵集重构的相干信源二维DOA估计

Two-dimensional DOA estimation of coherent sources based on reconstruction of toeplitz matrix sets

  • 摘要: 传统二维重构Toeplitz类算法在进行二维相干信源DOA估计时,利用构造两个相关矩阵或协方差矩阵的部分信息构造Toeplitz矩阵,使得信息利用不完整且需要额外的去噪处理.针对上述问题,提出一种基于二维重构Toeplitz类算法改进的Toeplitz矩阵集重构算法.利用完整阵元接受信号矢量构造两个包含完整信息的Toeplitz矩阵集,再与其共轭转置相乘求和来对矩阵修正而得到满秩矩阵,从而达到去相干的目的; 结合传统ESPRIT算法通过旋转不变性进行两次一维重构处理再进行角度匹配来实现二维的相干信号角度估计,同时避免额外的去噪处理.通过十字阵列和L型阵列的仿真验证了本文算法的有效性.

     

    Abstract: The traditional two-dimensional reconstruction Toeplitz-like algorithm uses partial information from two correlation matrices or covariance matrices to construct a Toeplitz matrix when performing two-dimensional coherent source DOA estimation, which makes information utilization incomplete and requires additional denoising. In view of the above problems, an improved Toeplitz matrix set reconstruction algorithm based on two-dimensional reconstruction Toeplitz class algorithm is proposed. two Toeplitz matrix sets containing complete information are constructed by using the complete array element reception signal vector to construct, and then multiplying it with the conjugate transpose Sum up to modify the matrix to obtain a full rank matrix, to achieve the purpose of decoherence, and combined with the traditional ESPRIT algorithm to perform two-dimensional reconstruction processing through rotation invariance and then angle matching to achieve two-dimensional coherent signal angle estimation, while Avoid additional denoising. Simulation results of the cross array and L-shaped array validate the proposed algorithm.

     

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