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arXiv 2302.02045eess.SP
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雷达杂波协方差估计:一种非线性谱收缩方法

Radar Clutter Covariance Estimation: A Nonlinear Spectral Shrinkage Approach

Shashwat Jain, Vikram Krishnamurthy, Muralidhar Rangaswamy, Bosung Kang, Sandeep Gogineni

摘要:

本文利用杂波加噪声协方差矩阵的尖峰协方差结构进行雷达信号处理。利用高维统计的最新技术,我们提出了一种基于非线性收缩的旋转不变尖峰协方差矩阵估计器。我们的状态估计尖峰特征值的收敛性。我们使用的数据集产生的高保真,特定地点的基于物理的雷达仿真软件RFView对现有的秩约束最大似然(RCML)-预期似然(EL)协方差估计算法的算法进行比较。我们证明了该算法的估计的计算时间是小于RCML-EL算法具有相同的信号杂波加噪声(SCNR)的性能。我们表明,该算法和基于RCML-EL的算法在高维共享相同的优化问题。我们使用低秩自适应归一化匹配滤波器(LR-ANMF)检测器来计算目标信噪比范围内不同虚警概率的检测概率。我们目前的初步结果表明,检测器对污染杂波离散使用的挑战数据集从RFView的鲁棒性。最后,我们的经验表明,最小方差无失真波束形成器(MVDR)的误差方差所提出的算法是相同的误差方差从真正的协方差矩阵。

英文摘要:

In this paper, we exploit the spiked covariance structure of the clutter plus noise covariance matrix for radar signal processing. Using state-of-the-art techniques high dimensional statistics, we propose a nonlinear shrinkage-based rotation invariant spiked covariance matrix estimator. We state the convergence of the estimated spiked eigenvalues. We use a dataset generated from the high-fidelity, site-specific physics-based radar simulation software RFView to compare the proposed algorithm against the existing Rank Constrained Maximum Likelihood (RCML)-Expected Likelihood (EL) covariance estimation algorithm. We demonstrate that the computation time for the estimation by the proposed algorithm is less than the RCML-EL algorithm with identical Signal to Clutter plus Noise (SCNR) performance. We show that the proposed algorithm and the RCML-EL-based algorithm share the same optimization problem in high dimensions. We use Low-Rank Adaptive Normalized Matched Filter (LR-ANMF) detector to compute the detection probabilities for different false alarm probabilities over a range of target SNR. We present preliminary results which demonstrate the robustness of the detector against contaminating clutter discretes using the Challenge Dataset from RFView. Finally, we empirically show that the minimum variance distortionless beamformer (MVDR) error variance for the proposed algorithm is identical to the error variance resulting from the true covariance matrix.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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