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Generalized canonical correlation for passive multistatic radar detection

机译:无源多基地雷达检测的广义规范相关

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In this paper, we consider the problem of target detection in passive multistatic radar. In passive radar, we make use of illuminators of opportunity. As the illuminators are not under our direct control, the illuminating signal itself is unknown. We propose a signal model which reflects this. In deriving a maximum-likelihood estimator for the unknown parameters, including the illumination, we find that the maximum value of the likelihood is a monotonic function of the largest eigenvalue of the Gram matrix of the received signals. The generalised likelihood ratio test turns out to be equivalent to comparison of the largest eigenvalue against a threshold, so we propose its use as a target detection statistic. The proposed detector is similar to generalised canonical correlation in multivariate statistics. The benefit of using this statistic over others such as generalised variance is demonstrated through numerical simulations in the context of passive radar using DVB-T signals.
机译:在本文中,我们考虑了无源多基地雷达中的目标检测问题。在无源雷达中,我们利用机会照明器。由于照明器不在我们的直接控制之下,因此照明信号本身是未知的。我们提出了一个反映这一点的信号模型。在推导未知参数(包括照明)的最大似然估计时,我们发现似然的最大值是接收信号的Gram矩阵的最大特征值的单调函数。广义似然比检验证明等效于将最大特征值与阈值进行比较,因此我们建议将其用作目标检测统计量。提出的检测器类似于多元统计中的广义规范相关。在使用DVB-T信号的无源雷达中,通过数值模拟证明了使用此统计数据优于其他统计数据(例如广义方差)的好处。

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