Experimental Analysis of Structured Covariance Estimators with Missing data

M. Rosamilia, A. Aubry, V. Carotenuto, A. De Maio
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Abstract

The problem of missing sensor measurements can emerge in a variety of radar signal processing applications as for instance beamforming, direction of arrival estimation, interference cancellation, and target detection. The mentioned applications rely on reliable data covariance matrix estimates and suitable procedures, based on the expectation-maximization (EM) algorithm, have been proposed in the open literature to cope with the lack of some entries within specific spatial snapshots. In this paper, the effectiveness of a recent structured covariance matrix estimator [1], accounting for missing data and leveraging possible structural knowledge, is assessed on measured data. Specifically, the estimation procedure is framed in the context of two practically relevant radar applications: beamforming and detection of the number of sources. At the analysis stage, results highlight the effectiveness of the procedure to tackle missing data in the considered radar scenarios.
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缺失数据下结构化协方差估计的实验分析
在各种雷达信号处理应用中都会出现传感器测量缺失的问题,例如波束形成、到达方向估计、干扰消除和目标检测。上述应用依赖于可靠的数据协方差矩阵估计和基于期望最大化(EM)算法的适当程序,已在公开文献中提出,以应对特定空间快照中某些条目的缺乏。本文在测量数据上评估了最近的结构化协方差矩阵估计器[1]的有效性,该估计器考虑了缺失数据并利用了可能的结构知识。具体来说,估计过程是在两个实际相关的雷达应用背景下进行的:波束形成和源数量的检测。在分析阶段,结果强调了在考虑的雷达场景中处理丢失数据的程序的有效性。
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