The adaptive radar detection of a point target in the presence of signal-dependent interference, also known as system-dependent clutter, is addressed in this paper. Here, the radar signal is assumed to be an intra-pulse modulated waveform and the target is surrounded by the interference, both in range and frequency spectrum domains. In a clutter-dominant situation, the detection problem is studied under wide-sense stationary (WSS) and also non-stationary Gaussian interference processes and two closed-form detectors, respectively named WSS-Rao and NS-Rao are derived. Both analytically and using computer simulations, it is shown that the proposed detectors perform independent of the transmit signal. In addition, the proposed NS-Rao and WSS-Rao detectors ensure a constant false alarm rate with respect to the statistical characteristics of the interference. Our simulations illustrate the remarkable effectiveness of the proposed detectors compared to their upper-bound. In particular, the WSS-Rao detector can be implemented by simple scalar operations. Furthermore, in WSS scenarios with a limited number of received echoes, which happens in many practical situations, the WSS-Rao detector outperforms its competitors. It was also shown through simulations that both the NS-Rao and WSS-Rao are robust with respect to the clutter distribution.

中文翻译：

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在存在信号相关干扰的情况下用于自适应目标检测的基于 Rao 的检测器

本文讨论了在存在信号相关干扰（也称为系统相关杂波）的情况下点目标的自适应雷达检测。此处，假设雷达信号为脉冲内调制波形，并且目标被范围和频谱域中的干扰包围。在杂波占优势的情况下，研究了广义平稳（WSS）和非平稳高斯干扰过程下的检测问题，并推导出了两个封闭形式的检测器，分别命名为 WSS-Rao 和 NS-Rao。分析和使用计算机模拟都表明，所提出的检测器的执行独立于发射信号。此外，建议的 NS-Rao 和 WSS-Rao 检测器确保相对于干扰的统计特征具有恒定的误报率。我们的模拟说明了所提出的检测器与其上限相比的显着有效性。特别是，WSS-Rao 检测器可以通过简单的标量运算来实现。此外，在接收回波数量有限的 WSS 场景中，WSS-Rao 检测器的性能优于其竞争对手。通过模拟还表明，NS-Rao 和 WSS-Rao 在杂波分布方面都是鲁棒的。在接收回波数量有限的 WSS 场景中，WSS-Rao 检测器的性能优于其竞争对手。通过模拟还表明，NS-Rao 和 WSS-Rao 在杂波分布方面都是鲁棒的。在接收回波数量有限的 WSS 场景中，WSS-Rao 检测器的性能优于其竞争对手。通过模拟还表明，NS-Rao 和 WSS-Rao 在杂波分布方面都是鲁棒的。