一种基于双站协同的时差频差定位方法

doi:10.12305/j.issn.1001-506X.2023.09.07

摘要/Abstract

摘要：

在无源定位系统探测地球地面或海面目标时, 考虑到目标在地球椭球面上, 不能忽视地球曲率带来的影响。采用地球椭球模型, 基于双空中观测站协同的时差频差无源定位方法, 首先建立大地直角坐标系, 然后利用双站接收目标的到达时差和到达频差信息, 运用构建矩阵的方法解算一元四次方程, 得出目标的大地直角位置坐标, 并研究了双站的几何精度因子。相比四站时差定位算法, 所提算法有更高的应用价值, 为对远距离地面或海面目标无源探测提供了一种新的技术思路。

关键词: 无源定位, 到达时间差, 双站协同, 地球椭圆方程, 到达频差

Abstract:

When the passive location system detects the earth's surface or sea surface target, it takes into account that the target is on the earth's ellipsoid and the influence of the earth's curvature cannot be ignored. In this paper, firstly, the earth ellipsoid model is adopted to establish the geodetic rectangular coordinate system based on the time difference and frequency difference passive localization method of the cooperation of two aerial observation stations. Secondly, using the information of arrival time difference and frequency difference of the target received by the two stations, the quartic equation of one variable is solved by the method of matrix constructing and the geodetic rectangular coordinates of the target are obtained, and the geometric accuracy factor of the two stations is studied. Compared with the four-station time difference localization algorithm, the proposed algorithm has a higher application value and provides a new technical idea for passive detection of long-range ground or sea targets.

Key words: passive location, time difference of arrival, duel-station cooperation, elliptic equation of the earth, frequency difference of arrival

中图分类号:

TN95

张铠宇, 于昊天, 卢雨. 一种基于双站协同的时差频差定位方法[J]. 系统工程与电子技术, 2023, 45(9): 2698-2705.

Kaiyu ZHANG, Haotian YU, Yu LU. A method of the time and frequency difference location based on duel-station cooperation[J]. Systems Engineering and Electronics, 2023, 45(9): 2698-2705.

图/表 6

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参考文献 31

1	YU Z X , FU Y Q . A passive location method based on virtual time reversal of cross antenna sensor array and tikhonov regularized TLS[J]. IEEE Sensors Journal, 2021, 21 (19): 21931- 21940. doi: 10.1109/JSEN.2021.3079421
2	XU X, CHEN W J, JIANG M. Multi-target passive location based on the algorithm of TDOA-Camberra[C]//Proc. of the 25th Chinese Control and Decision Conference, 2013: 881-885.
3	WEI Y L, CHOUDHURY R R. Angle-of-arrival (AoA) factorization in multipath channels[C]//Proc. of the IEEE International Conference on Acoustics, Speech and Signal Processing, 2021: 7878-7882.
4	ZHAO S , ZHANG X P , CUI X , et al. A new TOA localization and synchronization system with virtually synchronized periodic asymmetric ranging network[J]. IEEE Internet of Things Journal, 2021, 8 (11): 9030- 9044. doi: 10.1109/JIOT.2021.3055677
5	HO K C , LU X , KOVAVISARUCH L . Source localization using TDOA and FDOA measurements in the presence of receiver location errors: analysis and solution[J]. IEEE Trans.on Signal Processing, 2007, 55 (2): 684- 696. doi: 10.1109/TSP.2006.885744
6	BOTTIGLIERO S , MILANESIO D , SACCANI M , et al. A low-cost indoor real-time locating system based on TDOA estimation of UWB pulse sequences[J]. IEEE Trans.on Instrumentation and Measurement, 2021, 70, 1- 11.
7	MUSICKI D , KAUNE R , KOCH W . Mobile emitter geolocation and tracking using TDOA and FDOA measurements[J]. IEEE Trans.on Signal Processing, 2009, 58 (3): 1863- 1874.
8	ZOU Y B , LIU H P . TDOA localization with unknown signal propagation speed and sensor position errors[J]. IEEE Communications Letters, 2020, 24 (5): 1024- 1027. doi: 10.1109/LCOMM.2020.2968434
9	SUN Y , HO K C , WAN Q . Solution and analysis of TDOA localization of a near or distant source in closed form[J]. IEEE Trans.on Signal Processing, 2018, 67 (2): 320- 335.
10	WANG M , CHEN Z , ZHOU Z , et al. Analysis of the applicability of dilution of precision in the base station configuration optimization of ultrawideband indoor TDOA positioning system[J]. IEEE Access, 2020, 8, 225076- 225087. doi: 10.1109/ACCESS.2020.3045189
11	ZHOU G Q , YANG L J , LIU Z , et al. Influence of base station deployment on location precision and fuzzy area distribution based on TDOA location[J]. Journal of Naval University of Engineering, 2017, 29 (1): 96- 101. doi: 10.7495/j.issn.1009-3486.2017.01.019
12	OTNES R K . Frequency difference of arrival accuracy[J]. IEEE Trans.on Acoustics Speech & Signal Processing, 1989, 37 (2): 306- 308.
13	WANG H , LI L P . An effective localization algorithm for moving sources[J]. EURASIP Journal on Advances in Signal Processing, 2021, 32.
14	LI S X , LIU G Y , DING S Y , et al. Finding an optimal geometric configuration for TDOA location systems with reinforcement learning[J]. IEEE Access, 2021, 9, 63388- 63397. doi: 10.1109/ACCESS.2021.3075475
15	ZHANG L , ZHANG T , SHIN H S . An efficient constrained weighted least squares method with bias reduction for TDOA-based localization[J]. IEEE Sensors Journal, 2021, 21 (8): 10122- 10131. doi: 10.1109/JSEN.2021.3057448
16	IMANI S , PEIMANY M , HASANKHAN M J , et al. Bi-static target localization based on inaccurate TDOA-AOA measurements[J]. Signal, Image and Video Processing, 2022, 16 (1): 239- 245. doi: 10.1007/s11760-021-01985-4
17	SADEGHI M , BEHNIA F , AMIRI R . optimal geometry ana-lysis for TDOA-based localization under communication constraints[J]. IEEE Trans.on Aerospace and Electronic Systems, 2021, 57 (5): 3096- 3106. doi: 10.1109/TAES.2021.3069269
18	PINE K C , PINE S , CHENEY M . The geometry of far-field passive source localization with TDOA and FDOA[J]. IEEE Trans.on Aerospace and Electronic Systems, 2021, 57 (6): 3782- 3790. doi: 10.1109/TAES.2021.3087804
19	HU D X , HUANG Z , ZHANG S Y , et al. Joint TDOA, FDOA and differential Doppler rate estimation: method and its performance analysis[J]. Chinese Journal of Aeronautics, 2018, 31 (1): 137- 147. doi: 10.1016/j.cja.2017.11.005
20	ZHENG Z , ZHANG H , WANG W Q , et al. Source localization using TDOA and FDOA measurements based on semidefinite programming and reformulation linearization[J]. Journal of the Franklin Institute, 2019, 356 (18): 11817- 11838. doi: 10.1016/j.jfranklin.2019.10.029
21	LEE K H , OH J H , YOU K H . TDOA-/FDOA-based adaptive active target localization using iterated dual-EKF algorithm[J]. IEEE Communications Letters, 2019, 23 (4): 752- 755. doi: 10.1109/LCOMM.2019.2899615
22	DZIEWONSKI A M , ANDERSON D L . Preliminary reference Earth model[J]. Physics of the Earth and Planetary Interiors, 1981, 25 (4): 297- 356. doi: 10.1016/0031-9201(81)90046-7
23	LIU G , GUO H D , HANSSEN R F . Characteristics analysis of moon-based earth observation under the ellipsoid model[J]. International Journal of Remote Sensing, 2020, 41 (23): 9121- 9139. doi: 10.1080/01431161.2020.1797220
24	HO K C , CHAN Y T . Solution and performance analysis of geo- location by TDOA[J]. IEEE Trans.on Aerospace and Electronic Systems, 1993, 29 (4): 1311- 1322. doi: 10.1109/7.259534
25	HO K C , XU W . An accurate algebraic solution for moving source location using TDOA and FDOA measurements[J]. IEEE Trans.on Signal Processing, 2004, 52 (9): 2453- 2463. doi: 10.1109/TSP.2004.831921
26	LIANG J , WEI Y P , QU B Y , et al. Ensemble learning based on fitness Euclidean-distance ratio differential evolution for classification[J]. Natural Computing, 2021, 20 (1): 77- 87. doi: 10.1007/s11047-020-09791-6
27	WANG W X , XUE H , GAO H S . An effective evidence theory-based reliability analysis algorithm for structures with epistemic uncertainty[J]. Quality and Reliability Engineering International, 2021, 37 (2): 841- 855. doi: 10.1002/qre.2767
28	HE J H . Approximate analytical solution for seepage flow with fractional derivatives in porous media[J]. Computer Methods in Applied Mechanics and Engineering, 1998, 167 (1/2): 57- 68.
29	ZHOU Y F , WANG P , SHI L , et al. Analytical solution on vacuum consolidation of dredged slurry considering clogging effects[J]. Geotextiles and Geomembranes, 2021, 49 (3): 842- 851. doi: 10.1016/j.geotexmem.2020.12.013
30	FERRE R M , LOHAN E S . Comparison of MEO, LEO, and Terrestrial IoT configurations in terms of GDOP and achievable positioning accuracies[J]. IEEE Journal of Radio Frequency Identification, 2021, 5 (3): 287- 299. doi: 10.1109/JRFID.2021.3079475
31	HAN T , LU X C , LAN Q . Pattern recognition based Kalman filter for indoor localization using TDOA algorithm[J]. Applied Mathematical Modelling, 2010, 34 (10): 2893- 2900. doi: 10.1016/j.apm.2009.12.023

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