﻿ 基于运动约束的脉冲雷达游标测距方法
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Vernier ranging method for pulse radar based on motion constraints
CHEN Hao, GUO Junhai , QI Wei
Beijing Institute of Tracking and Telecommunication Technology, Beijing 100094, China
Abstract:Traditional pulse radar Vernier ranging method has the problem of coupled ambiguity in resolving the ambiguity of Doppler phase and velocity. To solve this problem, the motion constraint of target was applied into Vernier ranging and a new motion constraint Vernier ranging method was proposed. Accumulating a period of measurement data, an unscented Kalman filter was used to estimate radial velocities with higher accuracy. The high accuracy velocities were used to resolve the velocity ambiguity to startup the Vernier ranging. The radial velocity of next time period was accurately estimated through UKF forecast on the Vernier range, and the velocity ambiguity of next period was resolved. The coupling filter that could resolve phase ambiguity and velocity ambiguity was built, and the random errors of pulse radar radial range data were greatly eliminated using this new Vernier ranging method. Simulations of high-speed aircraft in boost phase and measured data of pulse radar prove that, this motion constraint Vernier ranging method greatly reduces the random error of radial range from meters to decimeters.
Key words: Vernier ranging     motion constraint     phase ambiguity resolution     velocity ambiguity resolution     unscented Kalman filter

1 解相位模糊与解速度模糊耦合

1.1 距离游标基本原理

1.2 多普勒测速原理

2 基于运动约束的耦合滤波器 2.1 问题分析

Q (k)=E[ W (k) W T(k)]

2.2 耦合滤波器流程

 图 1 耦合滤波器图Fig. 1 Diagram of coupled filter
3 理论仿真与实测数据验证 3.1 理论仿真

 图 2 传统距离游标与本文方法距离误差对比Fig. 2 Comparison of range error of traditional Vernier ranging method and method of this paper

 图 3 脉冲测距与本文方法得到的距离随机误差Fig. 3 Random range error obtained by pulse ranging method of this paper
3.2 实测数据验证

 图 4 飞机跟踪数据游标测距与脉冲测距随机误差对比Fig. 4 Random range error comparison of pulse ranging method and method of this paper on measured data of airplane

 图 5 飞机跟踪数据游标测距随机误差Fig. 5 Random range error of Vernier range on measured data of airplane

 图 6 飞机跟踪数据游标测距与脉冲测距误差对比Fig. 6 Random range error comparison of Vernier range and pulse range of measured data of airplane

 图 7 卫星数据游标测距与脉冲测距随机误差对比Fig. 7 Random range error comparison of pulse ranging method and method of this paper on measured data of satellite

 图 8 卫星数据游标测距随机误差Fig. 8 Random range error of Vernier range on measured data of satellite

4 结 论

1) 算法能克服相位模糊和速度模糊相互耦合的问题,大大减小了距离随机误差.

2) 对高速飞行器主动段仿真数据可将距离误差减小至少一个数量级至分米级.

3) 对LY3901雷达测得的卫星和飞机跟踪数据,该距离游标方法能将距离随机误差减小至少一个数量级至分米级.

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#### 文章信息

CHEN Hao, GUO Junhai, QI Wei

Vernier ranging method for pulse radar based on motion constraints

Journal of Beijing University of Aeronautics and Astronsutics, 2015, 41(2): 331-336.
http://dx.doi.org/10.13700/j.bh.1001-5965.2014.0095