Direct solution for fixed source location using well-posed TDOA and FDOA measurements

doi:10.23919/JSEE.2020.000042

Journal of Systems Engineering and Electronics ›› 2020, Vol. 31 ›› Issue (4): 666-673.doi: 10.23919/JSEE.2020.000042

• Electronics Technology • Previous Articles Next Articles

Direct solution for fixed source location using well-posed TDOA and FDOA measurements

Congfeng LIU(), Jinwei YUN*(), Juan SU()

Research Institute of Electronic Countermeasure, Xidian University, Xi'an 710071, China

Received:2019-08-07 Online:2020-08-25 Published:2020-08-25
Contact: Jinwei YUN E-mail:cfliu@mail.xidian.edu.cn;863341872@qq.com;1547120786@qq.com
About author:LIU Congfeng was born in 1973. He received his B.S. and M.S. degrees from Institute of Electronic Engineering, in 1996 and 1999, respectively, his Ph.D. degree from the National Key Laboratory of Radar Signal Processing of Xidian University in 2008. From 1999 to 2004, he was an engineer at Xi'an Satellite Control Center. From July 2014 to June 2015, he was a visiting scholar at Nanyang Technological University of Singapore for one year. He is currently an associate professor at Xidian University. His research interests focus on the applications of the signal processing on radar and communication. E-mail: cfliu@mail.xidian.edu.cn|YUN Jinwei was born in 1993. He received his B.E. degree from School of Electronic Engineering of Xidian University, in 2017. He is currently a postgraduate student at Xidian University. Since 2013, he has mainly studied interference signal power and passive location technology. His research interests focus on the applications of the signal processing on radar and communication. E-mail: 863341872@qq.com|SU Juan was born in 1990. She received her B.S. degree in electronic science and technology from Chang'an University in 2015, and M.S. degree from Xidian University in 2018. Since 2011, she has mainly studied interference signal power and passive location technology. From July 2018, she has been working for State Grid Information & Telecommunication Co., Ltd. E-mail: 1547120786@qq.com
Supported by:
the National Natural Science Foundation of China(61402365);the National Natural Science Foundation of China(61271300);the 13th Five-Year Weaponry PreResearch Project;This work was supported by the National Natural Science Foundation of China (61402365; 61271300) and the 13th Five-Year Weaponry PreResearch Project

Abstract

Abstract:

Based on the time differences of arrival (TDOA) and frequency differences of arrival (FDOA) measurements of the given planar stationary radiation source, the joint TDOA/FDOA location algorithm which solves the location of the target directly is proposed. Compared with weighted least squares (WLS) methods, the proposed algorithm is also suitable for well-posed conditions, and gets rid of the dependence on the constraints of Earth's surface. First of all, the solution formulas are expressed by the radial range. Then substitute it into the equation of the radial range to figure out the radial range between the target and the reference station. Finally use the solution expression of the target location to estimate the location of the target accurately. The proposed algorithm solves the problem that WLS methods have a large positioning error when the number of observation stations is not over-determined. Simulation results show the effectiveness of the proposed algorithm, including effectively increasing the positioning accuracy and reducing the number of observatories.

Key words: passive location, joint time differences of arrival/ frequency differences of arrival (TDOA/FDOA) location, direct solution, stationary emitter, well-posed equations

Congfeng LIU, Jinwei YUN, Juan SU. Direct solution for fixed source location using well-posed TDOA and FDOA measurements[J]. Journal of Systems Engineering and Electronics, 2020, 31(4): 666-673.

Figures/Tables 9

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References 11

1	LIU C F. Passive locating technology. Beijing: National Defense Industry Press, 2015.
2	JIA X J. Research on passive location technologies of multiple moving observers. Changsha: National University of Defense Technology, 2011.
3	CHAN Y T, HO K C. A simple and efficient estimator for hyperbolic location. IEEE Trans. on Signal Processing, 1994, 42 (8): 1905- 1915. doi: 10.1109/78.301830
4	HO K C, XU W W. An accurate algebraic solution for moving source location using TDOA and FDOA measurements. IEEE Trans. on Signal Processing, 2004, 52 (9): 2453- 2463. doi: 10.1109/TSP.2004.831921
5	MUS D, KAUNE R, KOCH W. Mobile emitter geolocation and tracking using TDOA and FDOA measurements. IEEE Trans. on Signal Processing, 2010, 58 (3): 1863- 1874. doi: 10.1109/TSP.2009.2037075
6	HE W W, PENG R, WANG Q, et al. Multidimensional scaling analysis for passive moving target localization with TDOA and FDOA measurements. IEEE Trans. on Signal Processing, 2010, 58 (3): 1677- 1688.
7	NOROOZI A, OVEIS A H, HOSSEINI S M. Improved algebraic solution for source localization from TDOA and FDOA measurements. IEEE Wireless Communications Letters, 2018, 7 (3): 352- 355. doi: 10.1109/LWC.2017.2777995
8	YANG J, LIU C F, TIAN Z C, et al. Iteration algorithm for joint TDOA & FDOA location and its performance analysis. Journal of Xidian University, 2015, 42 (4): 140- 146.
9	QU X M, XIE L H, TAN W R. Iterative constrained weighted least squares source localization using TDOA and FDOA measurements. IEEE Trans. on Signal Processing, 2017, 65 (15): 3990- 4002. doi: 10.1109/TSP.2017.2703667
10	LUI K W K, CHAN F K W, SO H C. Semidefinite programming approach for range-difference based source localization. IEEE Trans. on Signal Processing, 2009, 57 (4): 1630- 1633. doi: 10.1109/TSP.2008.2010599
11	LIN L X, SO H C, CHAN F K W, et al. A new constrained weighted least squares algorithm for TDOA-based localization. Signal Processing, 2013, 93 (11): 2872- 2878. doi: 10.1016/j.sigpro.2013.04.004

Name	Position/km			Velocity/(m/s)
Name	$x$	$y$	$z$	$v_{x}$	$v_{y}$	$v_{z}$
Observation 1	0	0	6	120	180	0
Observation 2	8	10	5	100	150	0
Target	80	120	1	0	0	0

Name	Position/km			Velocity/(m/s)
Name	$x$	$y$	$z$	$v_{x}$	$v_{y}$	$v_{z}$
Observation 1	0	0	6	120	180	0
Observation 2 (Scenario Ⅰ)	8	10	6	100	150	0
Observation 2 (Scenario Ⅱ)	8	10	5	100	150	0
Observation 2 (Scenario Ⅲ)	1	1	8	100	150	0
Target	80	120	1	0	0	0

[1]	Hao Wu, Shuxin Chen, Yihang Zhang, Hengyang Zhang, and Juan Ni. Robust structured total least squares algorithm for passive location [J]. Journal of Systems Engineering and Electronics, 2015, 26(5): 946-953.
[2]	Congfeng Liu, Jie Yang, and Fengshuai Wang. Joint TDOA and AOA location algorithm [J]. Journal of Systems Engineering and Electronics, 2013, 24(2): 183-188.

Direct solution for fixed source location using well-posed TDOA and FDOA measurements

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