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Filtering of discontinuous processes arising in marine integrated navigation systems

机译:过滤海洋综合导航系统中产生的不连续过程

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摘要

A refined stochastic model for the errors of the Loran-C radio navigation aid is described, and it is shown how this model can be used to improve the performance of integrated navigation systems. In addition to the usual propagation errors, Loran-C time of arrival measurements are occasionally plagued with sudden intermittent errors of a particular magnitude and caused by receiver cycle selection errors. These result in sudden large jumps in the calculated position solution. The Loran-C error has been modeled as the sum of a diffusion process, representing the normal propagating errors, and a pure jump process of Poisson type, representing the cycle selection errors. A simple integrated navigation system is then described, based on the Loran-C model and the standard dead reckoning (heading and speed) system model. Assuming that the observed process is governed by a linear stochastic difference equation, a recursive linear unbiased minimum variance filter is developed, from which the Loran-C and dead reckoning errors, and hence position and velocity, can be estimated.
机译:描述了针对Loran-C无线电导航辅助工具的错误的精确随机模型,并显示了如何使用该模型来改善集成导航系统的性能。除了通常的传播误差外,Loran-C到达时间的测量有时还受到特定幅度的突然间歇误差的困扰,这是由接收机周期选择误差引起的。这会导致计算出的位置解突然突变。 Loran-C误差已被建模为代表正常传播误差的扩散过程和代表周期选择误差的泊松型纯跳跃过程之和。然后基于Loran-C模型和标准航位推算(航向和速度)系统模型,描述了一个简单的集成导航系统。假设观测过程由线性随机差分方程控制,则开发了递归线性无偏最小方差滤波器,由此可以估算Loran-C和航位推算误差,从而估计位置和速度。

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