This article considers target separation detection (TSD) in the presence of homogeneous Gaussian interference. The problem is formulated as a hypothesis test for two typical situations: 1) the use of a low range-resolution radar or fast-track update rate; 2) the use of a high-resolution radar or low-track update rate. At the design stage, TSD tests are devised according to the generalized likelihood ratio test criterion. The computation of each decision statistic requires the solution of a semidefinite programming problem obtained leveraging the relationship among linear matrix inequalities and nonnegative trigonometric polynomials. All the obtained decision rules ensure the bounded constant false alarm rate property. At the analysis stage, the performance of some benchmark detectors is given in terms of detection and false alarm probabilities. Finally, numerical examples are provided to show the performance of the proposed tests as compared with the benchmarks as well as the gain achievable over some counterparts devised to monitor a separation event.

中文翻译：

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自适应目标分离检测

本文考虑了存在均匀高斯干扰的目标分离检测（TSD）。该问题被表述为针对两种典型情况的假设检验：1）使用低范围分辨率雷达或快速跟踪更新率；2）使用高分辨率雷达或低轨道更新率。在设计阶段，TSD测试是根据广义似然比测试标准进行设计的。每个决策统计的计算都需要解决半定规划问题，该问题是利用线性矩阵不等式和非负三角多项式之间的关系而获得的。所有获得的决策规则均确保有界的恒定误报率属性。在分析阶段，一些基准检测器的性能是根据检测和虚警概率给出的。