时差定位最优布站方法研究

doi:10.3969/j.issn.1001-2400.2016.04.022

西安电子科技大学学报 ›› 2016, Vol. 43 ›› Issue (4): 123-127.doi: 10.3969/j.issn.1001-2400.2016.04.022

时差定位最优布站方法研究

周成;黄高明;高俊

(海军工程大学电子工程学院，湖北武汉 430033)

收稿日期:2015-04-17 出版日期:2016-08-20 发布日期:2016-10-12
作者简介:周成(1986-)，男，海军工程大学博士研究生，E-mail：zhouchengscholar@163.com．
基金资助:
国家自然科学基金资助项目(60901069)；国家“863”计划资助项目(2013AAXXXX061)

Optimum sensor array for passive localization from time differences of arrival

ZHOU Cheng;HUANG Gaoming;GAO Jun

(College of Electronic Engineering, Naval Univ. of Engineering, Wuhan 430033, China)

Received:2015-04-17 Online:2016-08-20 Published:2016-10-12

摘要/Abstract

摘要：

针对时差定位，提出了以优化布站来提升定位精度的方法．该方法以克拉美罗下界的迹最小为定位精度衡量指标，通过对时差定位条件下克拉美罗下界的影响因素进行分析，发现接收站到目标的距离对克拉美罗下界没有影响，而接收站到目标的角度对克拉美罗下界有影响．随后，对克拉美罗下界迹的表达式进行了推导，并求得其最小值及取最小值的条件，得到结论:当接收站包围目标并呈等角布站时，对目标定位的克拉美罗下界取得最小值，此时布站最优．

关键词: 无源定位, 时差定位, 布站, 克拉美罗下界

Abstract:

In the TDOA system, the method for improving the source location accuracy by sensor arrangement is proposed. The trace of the CRLB of a source estimate is the criterion. By analyzing the factors of the CRLB, it is found that the CRLB does not depend on the range between sensor and source, but on the direction from sensor to source. The expression for the trace of the CRLB is derived. Then its minimum value and the condition for achieving the minimum value are obtained. It is shown that the uniform angular array is the optimum sensor array when the source is surrounded by sensors.

Key words: passive localization, time differences of arrival, sensor placement, Cramer-Rao lower bound

周成;黄高明;高俊. 时差定位最优布站方法研究[J]. 西安电子科技大学学报, 2016, 43(4): 123-127.

ZHOU Cheng;HUANG Gaoming;GAO Jun. Optimum sensor array for passive localization from time differences of arrival[J]. Journal of Xidian University, 2016, 43(4): 123-127.

参考文献

［1］ HUANG B Q, XIE L H, YANG Z. TDOA-based Source Localization with Distance-Dependent Noises ［J］. IEEE Transactions on Wireless Communications, 2015, 14(1): 468-480.
［2］ EI-GEMAYEL N, JAKEL H, JONDRAL F K. Error Analysis of a Low Cost TDoA Sensor Network ［C］//2014 IEEE on Position, Location and Navigation Symposium. Piscataway: IEEE, 2014: 1040-1045.
［3］ CHAKRABORTY J, OTTOY G, GELAUDE M, et al. Acoustic Localization of Unknown Sources with Wireless Sensor Nodes ［C］//2014 17th International Conference on Computer and Information Technology. Piscataway: IEEE, 2014: 488-493.
［4］朱国辉, 冯大政, 周延. 一种多参考接收站下的时差定位算法［J］. 西安电子科技大学学报, 2014, 41(4): 31-35.
ZHU Guohui, FENG Dazheng, ZHOU Yan. TDOA Location Algorithm Based on Multi-reference Receivers ［J］. Journal of Xidian University, 2014, 41(4): 31-35.
［5］ BISHOP A N, FIDAN B, ANDERSON B D. Optimality Analysis of Sensor-target Localization Geometries ［J］. Automatica, 2010, 3(46): 479-492.
［6］ YANG B, SCHEUING J. Cramer-Rao Bound and Optimum Sensor Array for Source Localization from Time Differences of Arrival ［C］//Proceedings of the IEEE International Conference Acoustics, Speech and Signal Processing: 4. Piscataway: IEEE, 2005: Ⅳ961-Ⅳ964.
［7］ BISHOP A N, FIDAN B, ANDERSON B D. Optimality Analysis of Sensor-target Geometries in Passive Localization: Part 1-Bearing only localization ［C］//Proceedings of the International Conference on Intelligent Sensors, Sensor Networks and Information Processing. Piscataway: IEEE, 2007: 7-12.
［8］ STEPHAN H, MARTIN K, REINER T, et al. Selection of Antenna Array Configuration for Polarimetric Direction Finding in Correlated Signal Environments ［C］//Proceedings of 19th International ITG Workshop on Smart Antennas. Piscataway: IEEE, 2015: 1-8.
［9］ BISHOP A N, FIDAN B, ANDERSON B D. Optimality Analysis of Sensor-Target Geometries in Passive Localization: Part 2-Time-of-Arrival Based Localization ［C］//Proceedings of the International Conference on Intelligent Sensors, Sensor Networks and Information Processing. Piscataway: IEEE, 2007: 13-18.
［10］丰大军, 许录平, 宋诗斌, 等. 利用X射线脉冲星的星间差分联合定位算法［J］. 西安电子科技大学学报, 2014, 41(1): 81-86.
FENG Dajun, XU Luping, SONG Shibin, et al. Differential Co-localization Method Using the X-ray Pulsar ［J］. Journal of Xidian Univercity, 2014, 41(1): 81-86.
［11］ BISHOP A N, JENSFELT P. An Optimality Analysis of Sensor-Target Geometries for Signal Strength Based Localization ［C］//Proceedings of the International Conference on Intelligent Sensors, Sensor Networks and Information Processing. Piscataway: IEEE, 2009: 127-131.
［12］ YANG B, SCHEUING J. A Theoretical Analysis of 2D Sensor Arrays for TDOA Based Localization ［C］//Proceedings of the 2006 IEEE International Conference on Acoustics, Speech and Signal Processing. Piscataway: IEEE, 2006: 58-63.
［13］ HING C S. Closed-form Formulae for Time-difference-of-arrival Estimation ［J］. IEEE Transactions on Signal Processing, 2008, 56(8): 2614-2620.
［14］ CHAN Y T, HO K C. A Simple and Efficient Estimator for Hyperbolic Location ［J］. IEEE Transactions on Signal Processing, 1994, 42(8): 1905-1915.

[1]	李海鹏,冯大政,周永伟. 多基地雷达栅栏覆盖的优化布站方法[J]. 西安电子科技大学学报, 2021, 48(2): 147-155.
[2]	冯涵哲;严俊坤;刘宏伟. 多站雷达功率分配自修正凸松弛算法[J]. 西安电子科技大学学报, 2018, 45(2): 26-30+140.
[3]	邓兵;孙正波;杨乐. 一种简单有效的TDOA-FDOA-AOA目标定位闭式解[J]. 西安电子科技大学学报, 2018, 45(2): 171-175+180.
[4]	邓兵;孙正波;杨乐;贺青. 存在站址误差时的线性校正TDOA定位算法[J]. 西安电子科技大学学报, 2017, 44(4): 106-111.
[5]	任衍青;逯志宇;巴斌;王大鸣. 锐化遗传直接定位快速估计算法[J]. 西安电子科技大学学报, 2017, 44(4): 144-150.
[6]	鲁航;崔维嘉;巴斌;逯志宇. 多观测值约束的可见光定位算法[J]. 西安电子科技大学学报, 2017, 44(4): 156-161.
[7]	邓兵;孙正波;杨乐;彭华峰;熊瑾煜. 带目标高度约束信息的TOA无源定位[J]. 西安电子科技大学学报, 2017, 44(3): 133-137.
[8]	房嘉奇;冯大政;李进. TDOA中的修正牛顿及泰勒级数方法[J]. 西安电子科技大学学报, 2016, 43(6): 27-33.
[9]	王珏;王俊;武勇;邓亚琦;罗振. 缺失孔径下多基地外辐射源雷达成像算法[J]. 西安电子科技大学学报, 2016, 43(3): 25-30.
[10]	杨洁;刘聪锋;田中成;张斌. 迭代时差频差联合定位算法及其性能分析[J]. J4, 2015, 42(4): 140-146.
[11]	朱国辉;冯大政;周延 . 一种利用多运动接收站的时差定位算法 [J]. J4, 2015, 42(2): 35-39+76.
[12]	朱国辉;冯大政;李进;周延. 一种利用修正牛顿迭代的时差定位算法[J]. J4, 2014, 41(5): 36-41.
[13]	朱国辉;冯大政;周延. 一种多参考接收站下的时差定位算法[J]. J4, 2014, 41(4): 31-35+57.
[14]	严俊坤;夏双志;戴奉周;刘宏伟;保铮. 异步多基地雷达系统目标跟踪的功率分配算法[J]. J4, 2013, 40(6): 32-38+57.
[15]	杨洁;刘聪锋. 迭代频差定位算法及其性能分析[J]. J4, 2013, 40(5): 8-14.

时差定位最优布站方法研究

Optimum sensor array for passive localization from time differences of arrival

PDF (PC)

赞

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10