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Nonlinear modeling of gated tracker dynamics with application to radar range resolution

机译：门控跟踪器动力学非线性建模及其在雷达测距中的应用

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摘要

Nonlinear dynamic models for gated radar range trackers are developed and applied to the range resolution problem. Two common types of tracking loop dynamics, as well as the automatic gain control (AGC), are accounted for in the models. The null detector is formulated in a general way that encompasses many important error detector laws, including centroid and leading-edge. Both discrete-time dynamic models are presented for each class of tracking loop. The discrete-time models are derived using an analytical description of the pulse-to-pulse dynamics of the tracker. The continuous-time models are approximations of their discrete-time counterparts for sufficiently small values of the pulse repetition interval. Each of the models is analyzed for a deterministic target return condition. General criteria for the asymptotic stability of the equilibrium points of the models are obtained. The most striking of the stability criteria is a sign requirement on the slope of a range error curve. These criteria are used in a two-target example to draw conclusions on a tracker's ability to resolve closely spaced targets as a function of target separation. These conclusions are compared with previously reported conclusions on resolvability obtained using P.M. Woodward's (1955) ambiguity function approach.
机译：开发了用于门控雷达距离跟踪器的非线性动态模型，并将其应用于距离分辨率问题。在模型中考虑了两种常见类型的跟踪环路动力学以及自动增益控制（AGC）。空检测器以通用方式制定，涵盖了许多重要的错误检测器定律，包括质心和前沿。针对每类跟踪回路都提供了两种离散时间动态模型。离散时间模型是使用对跟踪器的脉冲间动力学的分析描述得出的。对于足够小的脉冲重复间隔值，连续时间模型是其离散时间对应物的近似值。分析每个模型的确定目标返回条件。获得了模型平衡点渐近稳定性的一般准则。稳定性标准中最引人注目的是对距离误差曲线斜率的符号要求。在两个目标的示例中使用这些标准来得出结论，即追踪器根据目标分离的能力来分辨密集目标的能力。将这些结论与先前报道的使用P.M.伍德沃德（1955）的模糊函数方法。

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