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系统误差条件下的多运动站无源定位性能分析

徐征1,2, 曲长文2, 王昌海2   

  1. 1. 航空电子系统综合技术重点实验室, 上海 200233;
    2. 海军航空工程学院 电子信息工程系, 山东 烟台 264001
  • 收稿日期:2012-04-09 修回日期:2012-11-22 出版日期:2013-03-25 发布日期:2013-03-29
  • 通讯作者: 曲长文,Tel.: 0535-6635676 E-mail: qcwwby@sohu.com E-mail:qcwwby@sohu.com
  • 作者简介:徐征 男, 博士研究生。主要研究方向: 无源定位跟踪技术。 Tel: 0535-6635695 E-mail: xuzheng85@126.com;曲长文 男, 博士, 教授, 博士生导师。主要研究方向: 无源定位跟踪技术、 SAR成像技术、 SAR目标检测与识别技术。 Tel: 0535-6635676 E-mail: qcwwby@sohu.com;王昌海 男, 硕士研究生。主要研究方向: 无源定位技术。 Tel: 0535-6635695 E-mail: wchwchh@sina.com
  • 基金资助:

    航空电子系统综合技术重点实验室和航空科学基金联合资助(20105584004)

Performance Analysis for Multiple Moving Observers Passive Localization in the Presence of Systematic Errors

XU Zheng1,2, QU Changwen2, WANG Changhai2   

  1. 1. Science and Technology on Avionics Integration Laboratory, Shanghai 200233, China;
    2. Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China
  • Received:2012-04-09 Revised:2012-11-22 Online:2013-03-25 Published:2013-03-29
  • Supported by:

    Science and Technology on Avionics Integration Laboratory and Aviation Science Foundation of China (20105584004)

摘要:

系统误差的存在可能对无源定位的性能带来较大影响。针对多运动站得到的含有系统误差的观测量信息,推导了定位误差的克拉美-罗下限(CRLB)。首先根据具体系统误差模型推导测量误差的统计信息,然后根据系统误差导致不同时刻观测量相关的特点,将非对角矩阵的误差协方差矩阵写为分块矩阵的形式,并在此基础上推导其递推计算式,最后以系统误差情况下多运动站只测角无源定位为例进行定位性能的仿真分析。仿真结果表明系统误差的存在对定位误差CRLB影响较大,在定位中需要重点考虑。

关键词: 无源定位, 系统误差, 克拉美-罗下限, 递推计算, 只测角

Abstract:

The presence of systematic errors may have great effect on the performance of passive localization of multiple observers. In this paper the Cramer-Rao lower bound (CRLB) is derived with respect to the measurements corrupted by systematic errors which are obtained by multiple moving observers. First, the statistical information of the measurement error is derived according to the specific systematic error model. Because of the dependence of measurements between different time instants caused by the systematic error, the error covariance matrix is non-diagonal. The recursive calculation form is then derived by rewriting the non-diagonal error covariance matrix into the form of block matrixes. Finally, simulation is performed with respect to multiple moving observers bearings-only passive localization and related localization performance analysis is made. Simulation results indicate that systematic errors can have great effect on the CRLB of location error and more attention should be paid to it.

Key words: passive localization, systematic errors, Cramer-Rao lower bound, recursive calculation, bearings-only

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