基于双向抛物方程模型的雷达低角跟踪误差分析

曹熙; 冯菊; 余洪鑫; 吕德程

doi:10.12265/j.cjors.2021304

基于双向抛物方程模型的雷达低角跟踪误差分析

doi: 10.12265/j.cjors.2021304

西南交通大学电磁所, 成都 610031

基金项目: 国家自然科学基金(61801405,61771407)；电波环境特性及模化技术重点实验室专项资金（6142403190101）

详细信息

作者简介:
曹熙：(1996—)，男，安徽人，西南交通大学电磁所硕士研究生，研究方向为电波传播数值计算

冯菊：(1979—)，女，四川人，西南交通大学电磁所副教授，研究方向为电波传播技术、计算电磁学

余洪鑫：(1996—)，男，四川人，西南交通大学电磁所博士研究生，研究方向为电波传播技术

吕德程：(1995—)，男，河北人，西南交通大学电磁所硕士研究生，研究方向为无线电物理

通讯作者:
廖成 E-mail: c.liao@swjtu.edu.cn

中图分类号: TN011
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- 文章访问数: 49
- HTML全文浏览量: 11
- PDF下载量: 5
- 被引次数: 0
出版历程
- 收稿日期: 2021-11-15
- 录用日期: 2022-05-16
- 网络出版日期: 2022-05-16

Low-angle radar tracking error analysis based on two-way parabolic equation

Institute of Electromagnetics, Southwest Jiaotong University, Chengdu 610031, China

摘要

摘要: 针对雷达跟踪低空目标受地理环境影响的仰角估计误差问题，提出了一种基于双向抛物方程(two-way parabolic equation, 2WPE)模型的低角跟踪误差分析方法。采用2WPE建立综合考虑复杂地理条件和雷达参数影响的多径效应模型，分析电波与环境的相互作用机理，计算获得环境传播因子，将其引入传统测角模型，使之具备复杂地理环境下的确定性仿真分析能力。仿真计算了平滑海面、起伏地形等典型环境下的低角跟踪误差，结果表明：雷达发射波束宽度、雷达信号频率及雷达站周围的地理环境都对仰角估计误差有着较大影响。本文提出的方法原理简单、易于实现，在雷达低角跟踪及其抗多径干扰领域具有广阔的应用前景。
- 低角跟踪 /
- 双向抛物方程 /
- 多径效应 /
- 仰角估计误差
Abstract: In this paper, a low angle tracking error analysis method based on two-way parabolic equation (2WPE) model is proposed, to consider the complicated environmental impacts on estimation error of low angle target. According to the two-way parabolic equation, a multipath effect model is established, which takes into account the influences of geographical meteorological conditions and radar parameters. It is used to analyze the interaction mechanism between radio waves and the environment, and also calculate the spatial distribution characteristics of signals. Accordingly, the spatial transfer function is constructed to modify the traditional angle measurement model, to gain deterministic simulation analysis ability under complex environment. In this paper, low angle tracking errors under some typical environments, such as smooth sea, rugged terrain and so on. The results show that the radar transmit beam width, radar signal frequency and the geographical environment around the radar station have a great influence on the estimation error of the elevation angle. The method proposed in this paper is of simple principle and easy implementation, and it has a broad application prospect in the field of low-angle radar tracking and its anti-multipath interference.
- low angle tracking /
- two-way parabolic equation /
- multipath effect /
- elevation angle estimation error

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图 1 复杂地形环境下的多径效应示意图

Fig. 1 Schematic diagram of multipath effect in complex terrain environment

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图 2 单刃峰场景下的传播因子分布

Fig. 2 Propagation factor distribution in single knife-edge scene

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图 3 距离5 km和8 km处三种方法的对比

Fig. 3 Comparison of three algoritms at range 5 km and 8 km

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图 4 双峰场景下的传播因子分布

Fig. 4 Propagation factor distribution in two knife-edge scene

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图 5 双峰场景下传播因子随距离的变化

Fig. 5 Propagation factor vs. distance in two knife-edge scene

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图 6 光滑海面环境下的传播因子空间分布

Fig. 6 Propagation factor distribution over the smooth sea

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图 7 光滑海面环境下1km高空的传播因子

Fig. 7 Propagation factor at an altitude of 1km over smooth sea

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图 8 光滑海面环境下的仰角估计误差

Fig. 8 Errors of elevation estimation under smooth sea environment

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图 9 不同波束宽度下的传播因子

Fig. 9 Propagation factor curves at different beamwidths

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图 10 不同波束宽度下的仰角估计误差

Fig. 10 Errors of elevation estimation at different beamwidths

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图 11 不同信号频率下的传播因子

Fig. 11 Propagation factor curves at with different frequencies

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图 12 不同信号频率下的仰角估计误差

Fig. 12 Errors of elevation estimation with different frequencies

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图 13 起伏地形环境下的传播因子空间分布纵

Fig. 13 Propagation factor in terrain environment

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图 14 起伏地形环境下1 km高空的传播因子

Fig. 14 Propagation factor at an altitude of 1 km in terrain environment

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图 15 起伏地形环境下的仰角估计误差

Fig. 15 Errors of elevation estimation in terrain environment

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