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Modeling of target motion constrained on straight line

机译:限制在直线上的目标运动的建模

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Straight line motion is a fundamental target motion. Its modeling has been well studied for unconstrained targets (e.g., air targets). However, existing straight line motion models cannot be directly used for tracks constrained on a straight line, which has wide application, e.g., in ground target tracking. In this paper, modeling of the target motion constrained on a straight line is considered. First, linear equality constraints imposed by the straight line are set up explicitly. Then both direct elimination and along-track motion projection are applied to obtain two forms of constrained motion models. Connections between the two forms are studied. For the first form, conditions that guarantee the traditional linear Gaussian assumption are obtained. For the second form, conditions under which the motion along each axis is similar to the along-track motion are obtained. Supporting numerical examples are also provided.
机译:直线运动是基本的目标运动。对于不受约束的目标(例如,空中目标),已经对其模型进行了很好的研究。但是,现有的直线运动模型不能直接用于约束在直线上的轨迹,这在例如地面目标跟踪中具有广泛的应用。在本文中,考虑了约束在直线上的目标运动的建模。首先,明确设置由直线施加的线性相等约束。然后,直接消除和沿轨迹运动投影都被应用以获得两种形式的约束运动模型。研究了两种形式之间的联系。对于第一种形式,获得了保证传统线性高斯假设的条件。对于第二种形式,获得了沿每个轴的运动与沿轨道运动相似的条件。还提供了支持的数值示例。

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