Volume 31 Issue 2
Mar.  2022
Turn off MathJax
Article Contents
DING Ting, ZHAO Yongsheng, ZHAO Yongjun. An Efficient Algebraic Solution for Moving Source Localization from Quadruple Hybrid Measurements[J]. Chinese Journal of Electronics, 2022, 31(2): 255-265. doi: 10.1049/cje.2020.00.410
Citation: DING Ting, ZHAO Yongsheng, ZHAO Yongjun. An Efficient Algebraic Solution for Moving Source Localization from Quadruple Hybrid Measurements[J]. Chinese Journal of Electronics, 2022, 31(2): 255-265. doi: 10.1049/cje.2020.00.410

An Efficient Algebraic Solution for Moving Source Localization from Quadruple Hybrid Measurements

doi: 10.1049/cje.2020.00.410
Funds:  This work was supported by the Henan Province Science and Technology Project (212102210564) and the Open Fund Project of Scientific Research Platform of Zhengzhou Railway Vocational and Technical College (2021KFJJ002)
More Information
  • Author Bio:

    (corresponding author) was born in 1982. She received the Ph.D. degree in information and communication engineering from PLA Strategic Support Force Information Engineering University. She is an Associate Professor at the Henan High-speed Railway Operation and Technological Research Center, Zhengzhou. Her research interests include MIMO radar and communication signal processing. (Email: dingting_ndsc@foxmail.com)

    was born in 1990. He is currently pursuing the Ph.D. degree in the information and communication engineering at PLA Strategic Support Force Information Engineering University. His current research interests include multistatic passive radar, target localization, radar signal processing, estimation theory, and detection theory. (Email: ethanchioa@aliyun.com)

    was born in 1964. He received the Ph.D. degree from Beijing Institute of Technology. He is currently a Professor in PLA Strategic Support Force Information Engineering University. His current research interests include radar signal processing and array signal processing. (Email: zhaoyongjuntg@126.com)

  • Received Date: 2020-12-11
  • Accepted Date: 2021-08-31
  • Available Online: 2021-11-05
  • Publish Date: 2022-03-05
  • This paper deals with the 3-D moving source localization using time difference of arrival (TDOA), frequency difference of arrival (FDOA), angle of arrival (AOA) and AOA rate measurements, gathered from a set of spatially distributed receivers. The TDOA, FDOA, AOA and AOA rate measurement equations were firstly established according to the space geometric relationship of the source relative to the receivers. Then an efficient closed-form algorithm for source position and velocity estimation from the quadruple hybrid measurements was proposed. The proposed algorithm converts the nonlinear measurement equations into a linear set of equations, which can then be used to estimate the source position and velocity applying weighted least square (WLS) minimization. In contrast to existing two-stage WLS algorithms, the proposed algorithm does not introduce any nuisance parameters and requires merely one-stage, which enables for source localization with the fewest receivers necessary. Theoretical accuracy analysis shows that the proposed algorithm reaches the Cramer-Rao lower bound, and simulation studies corroborate the efficiency and superiority of the proposed algorithm over other algorithms.
  • loading
  • [1]
    D. Vitas, M. Tomic, and M. Burul, “Traffic light detection in autonomous driving systems,” IEEE Consumer Electronics Magazine, vol.9, no.4, pp.90–96, 2020. doi: 10.1109/MCE.2020.2969156
    P. Wan, Q. Huang, G. Lu, et al., “Passive localization of signal source based on UAVs in complex environment,” China Communications, vol.17, no.2, pp.107–116, 2020. doi: 10.23919/JCC.2020.02.009
    P. Xu, G. Dherbomez, E. Hery, et al., “System architecture of a driverless electric car in the grand cooperative driving challenge,” IEEE Intelligent Transportation Systems Mag., vol.10, no.1, pp.47–59, 2018. doi: 10.1109/MITS.2017.2776135
    D. Kim, G. Park, H. Kim, et al., “Computationally efficient TDOA/FDOA estimation for unknown communication signals in electronic warfare systems,” IEEE Transactions on Aerospace and Electronic Systems, vol.54, no.1, pp.77–89, 2018. doi: 10.1109/TAES.2017.2735118
    Q. Huang, J. Feng, and Y. Fang, “Two-dimensional DOA estimation using one-dimensional search for spherical arrays,” Chinese Journal of Electronics, vol.28, no.6, pp.1259–1264, 2019. doi: 10.1049/cje.2019.08.009
    Y. T. Chan and K. C. Ho, “A simple and efficient estimator for hyperbolic location,” IEEE Transactions on Signal Processing, vol.42, no.8, pp.1905–1915, 1994. doi: 10.1109/78.301830
    Y. Zou and H. Liu, “TDOA localization with unknown signal propagation speed and sensor position errors,” IEEE Communications Letters, vol.24, no.5, pp.1024–1027, 2020. doi: 10.1109/LCOMM.2020.2968434
    D. Wang, J. Yin, R. Liu, et al., “Performance analysis and improvement for TDOA source localization in the presence of synchronization clock bias,” Acta Electronica Sinica, vol.46, no.6, pp.1962–1971, 2018. (in Chinese)
    Q. Li, B. Chen, and M. Yang, “Improved two-step constrained total least-squares TDOA localization algorithm based on the alternating direction method of multipliers,” IEEE Sensors Journal, vol.20, no.22, pp.13666–13673, 2020. doi: 10.1109/JSEN.2020.3004235
    Y. Wang and K. C. Ho, “An asymptotically efficient estimator in closed-form for 3-D AOA localization using a sensor network,” IEEE Transactions on Wireless Communications, vol.14, no.12, pp.6524–6535, 2015. doi: 10.1109/TWC.2015.2456057
    Y. Wang and K. C. Ho, “Unified near-field and far-field localization for AOA and hybrid AOA-TDOA positionings,” IEEE Transactions on Wireless Communications, vol.17, no.2, pp.1242–1254, 2018. doi: 10.1109/TWC.2017.2777457
    Q. Yan, J. Chen, O. Geoffrey, et al., “Robust AOA based acoustic source localization method with unreliable measurements,” Signal Processing, vol.152, pp.13–21, 2018. doi: 10.1016/j.sigpro.2018.05.010
    Y. Norouzi, and M. Derakhshani, “Joint time difference of arrival/angle of arrival position finding in passive radar,” IET Radar Sonar & Navigation, vol.3, no.2, pp.167–176, 2009. doi: 10.1049/iet-rsn:20080069
    C. Liu, J. Yang, and F. Wang, “Joint TDOA and AOA location algorithm,” Journal of Systems Engineering & Electronics, vol.24, no.2, pp.183–188, 2013.
    J. Yin, Q. Wan, S. Yang, et al., “A simple and accurate TDOA-AOA localization method using two stations,” IEEE Signal Processing Letters, vol.23, no.1, pp.144–148, 2016. doi: 10.1109/LSP.2015.2505138
    C. Wann, Y. Yeh, and C. Hsueh, “Hybrid TDOA/AOA indoor positioning and tracking using extended Kalman filters,” IEEE 63rd Vehicular Technology Conference, Melbourne, Vic., Australia, pp.1058−1062, 2006.
    K. C. Ho and W. Xu, “An accurate algebraic solution for moving source location using TDOA and FDOA measurements,” IEEE Transactions on Signal Processing, vol.52, no.9, pp.2453–2463, 2004. doi: 10.1109/TSP.2004.831921
    K. C. Ho, X. Lu, and L. Kovavisaruch, “Source localization using TDOA and FDOA measurements in the presence of receiver location errors: Analysis and solution,” IEEE Trans. on Signal Processing, vol.55, no.2, pp.684–696, 2007. doi: 10.1109/TSP.2006.885744
    G. Wang, S. Cai, Y. Li, et al., “A bias-reduced nonlinear WLS method for TDOA/FDOA-based source localization,” IEEE Transactions on Vehicular Technology, vol.65, no.10, pp.8603–8615, 2016. doi: 10.1109/TVT.2015.2508501
    X. Qu, L. Xie, and W. Tan, “Iterative constrained weighted least squares source localization using TDOA and FDOA measurements,” IEEE Transactions on Signal Processing, vol.65, no.15, pp.3990–4003, 2017. doi: 10.1109/TSP.2017.2703667
    A. Noroozi, A. H. Oveis, S. M. Hosseini, et al., “Improved algebraic solution for source localization from TDOA and FDOA measurements,” IEEE Wireless Communications Letters, vol.7, no.3, pp.352–355, 2018. doi: 10.1109/LWC.2017.2777995
    Z. X. Liu, D. X. Hu, Y. S. Zhao, et al., “An algebraic method for moving source localization using TDOA, FDOA, and differential Doppler rate measurements with receiver location errors,” EURASIP Journal on Advances in Signal Processing, vol.2019, no.1, article no.25, 2019. doi: 10.1186/s13634-019-0621-9
    J. Xiong, J. Chen, J. Ning, et al., “Closed-form AOA-TDOA-FDOA solution for moving source location,” Journal of University of Electronic Science and Technology of China, vol.49, no.2, pp.219–227, 2020.
    J. Nanzer, “Millimeter-wave interferometric angular velocity detection,” IEEE Transactions on Microwave Theory and Techniques, vol.58, no.12, pp.4128–4136, 2010.
    J. Nanzer and K. Zilevu, “Dual interferometric-Doppler measurements of the radial and angular velocity of humans,” IEEE Transactions on Antennas and Propagation, vol.62, no.3, pp.1513–1517, 2014. doi: 10.1109/TAP.2013.2296325
    J. A. Nanzer and M. D. Sharp, “On the estimation of angle rate in radar,” IEEE Transactions on Antennas and Propagation, vol.65, no.3, pp.1339–1348, 2017. doi: 10.1109/TAP.2016.2645785
    M. D. Sharp and J. A. Nanzer, “Accuracy of angle rate measurements using a distributed radar with a correlation receiver,” IEEE Antennas and Wireless Propagation Letters, vol.17, no.2, pp.209–212, 2018. doi: 10.1109/LAWP.2017.2780241
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(4)  / Tables(1)

    Article Metrics

    Article views (297) PDF downloads(61) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint