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低秩条件下双星TDOA和FDOA无源定位算法

周龙健 罗景青

周龙健, 罗景青. 低秩条件下双星TDOA和FDOA无源定位算法[J]. 北京航空航天大学学报, 2017, 43(10): 2040-2046. doi: 10.13700/j.bh.1001-5965.2016.0811
引用本文: 周龙健, 罗景青. 低秩条件下双星TDOA和FDOA无源定位算法[J]. 北京航空航天大学学报, 2017, 43(10): 2040-2046. doi: 10.13700/j.bh.1001-5965.2016.0811
ZHOU Longjian, LUO Jingqing. A passive location algorithm based on TDOA and FDOA of dual-satellite in the condition of unfiled rank[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(10): 2040-2046. doi: 10.13700/j.bh.1001-5965.2016.0811(in Chinese)
Citation: ZHOU Longjian, LUO Jingqing. A passive location algorithm based on TDOA and FDOA of dual-satellite in the condition of unfiled rank[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(10): 2040-2046. doi: 10.13700/j.bh.1001-5965.2016.0811(in Chinese)

低秩条件下双星TDOA和FDOA无源定位算法

doi: 10.13700/j.bh.1001-5965.2016.0811
基金项目: 

国家自然科学基金 60801044

陕西省自然科学基础研究计划项目 2013JQ8020

详细信息
    作者简介:

    周龙健  男, 博士研究生。主要研究方向:阵列信号处理、无源定位

    罗景青  男, 博士, 教授, 博士生导师。主要研究方向:雷达对抗、无源定位、阵列信号处理等

    通讯作者:

    罗景青, E-mail: luojingqing001@126.com

  • 中图分类号: TN911.7

A passive location algorithm based on TDOA and FDOA of dual-satellite in the condition of unfiled rank

Funds: 

National Natural Science Foundation of China 60801044

Natural Science Fundamental Research Project of Shanxi Province of China 2013JQ8020

More Information
  • 摘要:

    针对双星对地面已知高度目标辐射源到达时间差(TDOA)和到达频率差(FDOA)无源定位过程中存在卫星1位置矢量、两卫星位置矢量差以及两卫星速度矢量差三者共面问题,提出了一种获得目标位置三维解析解的算法,并指出当且仅当两卫星位置矢量和速度矢量四者共线时才无解。分析了共面但不共线和共线2种情况,给出了不同情况下的解析解,并且当两卫星位置矢量共线时可以将定位问题化简为简单的一元二次方程求解问题,可以有效降低求解复杂度和减少虚根数量。此外,当三矢量共面时还可以改善星下点区域的定位精度。仿真实验验证了所提算法的有效性。

     

  • 图 1  双星时频差无源定位示意图

    Figure 1.  Schematic of dual-satellite passive location using TDOA and FDOA

    图 2  两卫星位置矢量共线时定位误差分布

    Figure 2.  Location error distribution when position vectors of dual satellites are collinear

    图 3  三矢量共面但不共线时定位误差分布

    Figure 3.  Location error distribution when three vectors are co-planar but non-collinear

    图 4  三矢量不共面时定位误差分布

    Figure 4.  Location error distribution when three vectors are not co-planar

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出版历程
  • 收稿日期:  2016-10-18
  • 录用日期:  2017-01-07
  • 刊出日期:  2017-10-20

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