基于大地经纬度的二维TDOA无源定位

doi:10.11959/j.issn.1000-436x.2019118

Abstract

Abstract:

Because of the surface of the earth is not a plane,there may be some errors in the conventional ultra-short wave passive TDOA location method using plane coordinates.In order to use the geodetic longitude and latitude coordinates directly for TDOA location,a series of spherical distance TDOA location models based on spherical two-point distance calculation were proposed.The optimal location models were adopted,and a grid point search method was applied with model validation.The numerical results show that the spherical precise calculation model has the smallest positioning error,which is independent of latitude.Positioning error of the spherical approximation calculation model is worse than the first model,and increases with the increase of latitude.The equidistant orthographic cylindrical projection model has a small positioning error in the low latitudes.However,it has a large positioning error in the middle and high latitudes.The equiangular orthographic cylindrical projection model and the equiareal orthographic cylindrical projection model have a relatively large positioning error,which is around 26% at any latitude and is not applicable.

Key words: passive location, TDOA, longitude and latitude, spherical precise calculation, spherical approximate calculation

CLC Number:

TN802

Fangli MA,Yang XU,Peng XU. 2D-TDOA passive location based on geodetic longitude and latitude[J]. Journal on Communications, 2019, 40(5): 136-143.

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References 17

[1]	MARCHAND N . Error distributions of best estimate of position from multiple time difference hyperbolic networks[J]. IEEE Transactions on Aerospace and Navigational Electranics, 1964(6): 96-100.
[2]	STILP L A . Time difference of arrival technology for locating narrowband cellular signals[J]. Proceedings of SPIE-The International Society for Optical Engineering, 1996: 134-144.
[3]	范平志, 邓平, 刘林 . 蜂窝网无线定位[M]. 北京: 电子工业出版社, 2002.
	FAN P Z , DENG P , LIU L . Cellular wireless location[M]. Beijing: Electronic Industrial PressPress, 2002.
[4]	SO H C , CHAN Y T , CHAN F K W . Closed-form formulae for time-difference-of-arrival estimation[J]. IEEE Transactions on Signal Processing, 2008,56(6): 2614-2620.
[5]	YANG K,AN J , BU X ,et al. Constrained total least-squares location algorithm using time-difference-of-arrival measurements[J]. IEEE Transactions on Vehicular Technology, 2010,59(3): 1558-1562.
[6]	CHAITANYA D E , RAO G S . Unknown radio source localization based on a modified closed form solution using TDOA measurement technique[C]// 4th International Conference on Recent Trends in Computer Science and Engineering. 2016: 184-189.
[7]	MINGSIAN R B , SHIH S L , HUANG J Y . Time difference of arrival (TDOA)-based acoustic source localization and signal extraction for intelligent audio classification[C]// 2018 IEEE 10th Sensor Array and Multichannel Signal Processing Workshop. 2018: 632-636.
[8]	FOKIN G , KIREEV A , ABDULWAHAB H A . TDOA positioning accuracy performance evaluation for arc sensor configuration[C]// 2018 Systems of Signals Generating and Processing in the Field of on Board Communications. 2018: 1-5.
[9]	金博楠, 徐晓苏, 张涛 ,等. 基于TDOA定位的阵列布放结构研究[J]. 导航定位与授时, 2017,4(6): 29-36.
	JIN B N , XU X S , ZHANG T ,et al. Study on array placement structure based on TDOA location[J]. Navigation,Positioning and Timing, 2017,4(6): 29-36.
[10]	周恭谦, 杨露菁, 刘忠 ,等. 基于TDOA 定位的基站布设对模糊区分布及定位精度的影响分析[J]. 海军工程大学学报, 2017,29(1): 96-101.
	ZHOU G Q , YANG L J , LIU Z ,et al. Influence analysis of base station layout based on TDOA positioning on fuzzy area distribution and positioning accuracy[J]. Journal of Naval Engineering University, 2017,29(1): 96-101.
[11]	MA F L , XU Y , XU P . A nonlinear programming based universal optimization model of TDOA passive location[C]// 2017 International Conference on Intelligent Systems and Knowledge Engineering. IEEE, 2017: 184-189.
[12]	WANG Y . Unified near-field and far-field localization for AOA and hybrid AOA-TDOA positionings[J]. IEEE Transactions on Wireless Communications, 2018,17(2): 1242-1254.
[13]	宋振祥, 崔传金, 马良 . 关于FM广播发射位置TDOA定位的研究[J]. 中国无线电, 2018,273(5): 53-54.
	SONG Z X , CUI C J , MA L . Study on TDOA location of FM radio transmission location[J]. China Radio, 2018,273(5): 53-54.
[14]	胡正, 杨青, 卜晓楠 ,等. TDOA 定位中经纬度与平面坐标转换方案的研究[J]. 电子世界, 2019(3): 36-37.
	HU Z , YANG Q , PU X N ,et al. Study on the transformation scheme between longitude and latitude and plane coordinates in TDOA positioning[J]. Electronic World, 2019(3): 36-37.
[15]	孔祥元, 郭际明, 刘宗泉 . 大地测量学基础[M]. 武汉: 武汉大学出版社, 2010.
	KONG X Y , GUO J M , LIU Z Q . Fundamentals of geodesy[M]. Wuhan: Wuhan University PressPress, 2010.
[16]	国家地震局地球物理研究所.近震分析[M]. 北京: 地震出版社, 1978.
	IGPCEA of China. Near earthquake analysis[M]. Beijing: Earthquake PressPress, 1978.
[17]	吕晓华, 李少梅 . 地图投影原理与方法[M]. 北京: 测绘出版社, 2016.
	LV X H , LI S M . Principles and methods of map projection[M]. Beijing: Mapping PressPress, 2016.

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φ₀	Δd/km	r
0°	111.2	1.000 0
5°	110.8	0.996 2
10°	109.5	0.984 7
15°	107.4	0.965 9
20°	104.5	0.934 7
25°	100.8	0.906 3
30°	96.3	0.866 0
35°	91.1	0.819 2
40°	85.2	0.766 2
45°	78.6	0.707 1
50°	71.5	0.643 0
55°	63.8	0.573 6
60°	55.6	0.500 0
65°	47.0	0.422 6
70°	38.0	0.341 7
75°	28.8	0.258 8
80°	19.3	0.173 6
85°	9.7	0.087 1

参数	取值
定位网络构成	距离相等的3个监测站点
定位网络中心所处纬度	0o～85o，步长为5o
信号源的位置	在定位网络之内，在经线上等间隔取24个点，在纬线上等间隔取13个点，由于定位网络呈三角形，故共取156个不同的点
考虑时间差测量误差	为-50～50 ns之间的等概率分布，对应距离误差±15 m
搜索网格数量/个	200×200
定位计算结果与信号源实际位置误差的表示方式	求156个定位误差的均方根，并除以基线长度，得到定位误差相对于基线的百分比

2D-TDOA passive location based on geodetic longitude and latitude

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[3]	Na XIA,Cheng-chun NI,Chao-nong XU,Sheng DING,Rong ZHENG. Voronoi acoustic source localization mechanism based on counter captured time difference [J]. Journal on Communications, 2013, 34(11): 140-152.
[4]	Yi ZHANG,Fu-liang YIN,Zhe CHEN. Linear correction total least-squares approach to 3D acoustic source localization [J]. Journal on Communications, 2009, 30(12): 106-112.
[5]	Hong-long CHEN,Hong-bin LI,Zhi WANG. Research on TDoA-based secure localization for wireless sensor networks [J]. Journal on Communications, 2008, 29(8): 11-22.
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