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An MDL Approach for Multiple Low Observable Track Initiation

机译:一种MDL方法,用于多个低可观察轨道起始

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摘要

In this paper the track initiation problem is formulated as multiple composite hypothesis testing using maximum likelihood estimation with probabilistic data association (ML-PDA), an algorithm known to work under very low SNR conditions. This algorithm does not have to make a decision as to which measurement is target originated. The hypothesis testing is based on the minimum description length (MDL) criterion. We first review some well-known approaches for statistical model selection and the advantage of the MDL criterion. Then we present an approximate penalty in accounting for the model complexity to simplify the calculation of MDL. Finally, we apply the MDL approach for the detection and initiation of tracks of incoming tactical ballistic missiles in the exo-atmospheric phase using a surface based electronically scanned array (ESA) radar. The targets are characterized by low SNR, which leads to low detection probability and high false alarm rate. The target acquisition problem is formulated using a batch of radar scans to detect the presence of up to two targets. The ML-PDA estimator is used to initiate the tracks assuming the target trajectories follow a deterministic state propagation. The approximate MDL criterion is used to determine the number of valid tracks in a surveillance region. The detector and estimator are shown to be effective even at 4.4dB average SNR in a resolution cell (at the end of the signal processing chain).
机译:在本文中,航迹起始问题被公式化为使用概率数据关联(ML-PDA)的最大似然估计进行的多重复合假设测试,该算法已知在非常低的SNR条件下工作。该算法不必决定哪个测量是目标发起的。假设检验基于最小描述长度(MDL)标准。我们首先回顾一些著名的统计模型选择方法以及MDL标准的优势。然后,在考虑模型复杂性以简化MDL计算时,我们提出了一个近似的代价。最后,我们使用基于表面的电子扫描阵列(ESA)雷达,将MDL方法应用于在大气外阶段探测和启动进入战术弹道导弹的航迹。目标具有低SNR的特征,这导致低检测概率和高误报率。使用一批雷达扫描来检测多达两个目标的存在,从而制定了目标获取问题。假设目标轨迹遵循确定性状态传播,则ML-PDA估计器用于启动轨迹。近似的MDL标准用于确定监视区域中有效磁道的数量。在分辨率单元中(信号处理链的末尾),检测器和估计器即使在4.4dB的平均SNR上也有效。

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