航空学报 > 2015, Vol. 36 Issue (9): 3050-3059   doi: 10.7527/S1000-6893.2014.0293

一种适用于机场场面MLAT监视系统的定位算法及其性能分析

彭卫1,2, 黄荣顺1, 郭建华1, 蒋凯1, 何东林1   

  1. 1. 中国民用航空总局第二研究所, 成都 610041;
    2. 四川农业大学 商学院, 成都 611830
  • 收稿日期:2014-08-12 修回日期:2014-10-21 出版日期:2015-09-15 发布日期:2014-11-15
  • 通讯作者: 彭卫 男, 博士, 副教授。主要研究方向: MLAT定位算法, 目标跟踪滤波技术。 Tel: 028-82909987 E-mail: pw7@163.com E-mail:pw7@163.com
  • 作者简介:黄荣顺 男, 博士, 高级工程师。主要研究方向: 空管自动化, MLAT系统总体设计。 Tel: 028-82909986 E-mail: caacsri_hrs@126.com;郭建华 男, 博士, 高级工程师。主要研究方向: MLAT定位算法, 目标关联等。 Tel: 028- 82909283 E-mail: 279281933@qq.com
  • 基金资助:

    国家自然科学基金委员会与中国民用航空局联合资助(U1433129); 四川省教育厅基金(13ZB0287); 民航科技创新引导资金重大专项(14014J0340030)

A location algorithm suitable for MLAT surveillance system at airport surface and its performance analysis

PENG Wei1,2, HUANG Rongshun1, GUO Jianhua1, JIANG Kai1, HE Donglin1   

  1. 1. The Second Research Institute of General Administration of Civil Aviation of China, Chengdu 610041, China;
    2. School of Business, Sichuan Agricultural University, Chengdu 611830, China
  • Received:2014-08-12 Revised:2014-10-21 Online:2015-09-15 Published:2014-11-15
  • Supported by:

    National Nature Science Foundation of China and Chinese Civil Aviation Jointly Funded Foundation Project(U1433129); The Scientific Research Fund of Sichuan Provincial Education Department(13ZB0287); Aeronautical Mobile Airport Communication System(14014J0340030)

摘要:

与通常的三维目标不同,机场场面目标的高度是已知固定值,这点在设计应用于民用机场场面监视的无源多点时差定位(MLAT)系统时应予以考虑。基于机场场面目标及MLAT系统的特点,提出了一种改进的时差定位算法,该算法特别适合应用于场面监视的MLAT系统中。相比于传统的三维定位算法,该算法不但可以提高定位精度,还可增强系统的鲁棒性。给出了该改进时差定位算法的克拉美罗界(CRLB),并进一步推导出了该算法与三维定位算法精度之间的理论关系,从理论上证明了该算法的定位精度高于三维定位算法。与此同时,基于条件数理论还证明了该算法的鲁棒性优于三维定位算法。仿真实验及实测数据证明了所得结论的正确性和有效性。

关键词: 无源多点时差定位系统, 条件数, 到达时间差, 克拉美罗界, 鲁棒性, 无源定位

Abstract:

Instead of regular three-dimensional targets, the height of targets at airport surface is a known constant and it should be considered when designing an multilateration (MLAT) system suitable for surveillance at civil airport surface. Based on the characteristics of target at airport surface and MLAT, we propose a modified time of difference arrival (TDOA) positioning algorithm, which is especially useful for MLAT system for the airport surface surveillance. Compared with traditional three-dimensional positioning way, the proposed algorithm not only improves the positioning accuracy but also gets greater system robustness. A corresponding Cramer-Rao lower bound(CRLB) of this algorithm is achieved, and the theoretical relation between two-dimensional and three-dimensional positioning algorithms is deduced, which further proves that the algorithm has higher precision than three-dimensional way. Meanwhile we use condition number theory to prove that the proposed algorithm has stronger robustness than three-dimensional positioning way. The simulation and practical measured data verify the correctness and effectiveness of the above conclusions.

Key words: multilateration system, condition numbers, time of difference arrival, Cramer-Rao lower bound, robustness, passive location

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