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TDOA and FDOA Hybrid Positioning of Mobile Radiation Source with Receiver Position Errors

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Abstract

High-precision position awareness is essential to ubiquitous wireless networks, which can provide real-time position information and abundant status information for numerous practical applications. However, It is a challenge to obtain accurate position estimation utilizing traditional onefold parameter estimation, especially for the accurate position estimation of moving radiation source in the presence of receiver position errors. In this work, we developed an Improved Taylor Series estimation method in three-dimensional positioning scene, in which time difference of arrival (TDOA) and frequency difference of arrival (FDOA) are used to estimate the position and velocity of the target, and the position of the receiver is iteratively updated to reduce the influence of the receiver position errors. The closed-form expressions of Cramer–Rao low bound (CRLB) based on joint TDOA and FDOA positioning with receiver position errors are derived. In the simulation, CRLB with and without receiver position errors are evaluated to illustrate the influence of the receiver position errors on the positioning performance. Theory analysis and simulation results show that the proposed algorithm has lower complexity, smaller RMSE and better positioning performance than multidimensional scaling (W-MDS) algorithm, constrained total least squares algorithm and two-step weighted least squares algorithm for both near-field and far-field emitters.

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Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

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Acknowledgements

The authors would like to thank the editors and the anonymous reviewers.

Funding

This work was supported in part by the Natural Science Foundation of Guangdong Province under Grant 2022A1515011975, in part by Shenzhen Fundamental Research Program under grant JCYJ20220530141017040, in part by the Natural Science Foundation of Shandong Province under grants ZR2022LZH005, in part by the Science and Technology Program in Qingdao under Grants 22-3-7-CSPZ-2-nsh.

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Authors and Affiliations

  1. School of Information Science and Engineering, Shandong University, 266237, Qingdao, Shandong, China

    Yue Zhang, Fen He, Honglei Zhang, Hongliang Yang & Zhengfeng Du

  2. Shenzhen Research Institute of Shandong University, 518057, Shenzhen, China

    Yue Zhang & Fen He

  3. College of Computer Science and Electronic Engineering, Hunan University, 410082, Changsha, China

    Zhu Xiao

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  1. Yue Zhang
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Contributions

YZ and FH designed the method and wrote the main part of the manuscript, HZ designed the experiments and contributed to the writing of the manuscript, HY conducted the complexity analysis of the algorithm, ZD and ZX made grammar modifications to the manuscript. All authors reviewed the manuscript.

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Correspondence to Fen He.

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Zhang, Y., He, F., Zhang, H. et al. TDOA and FDOA Hybrid Positioning of Mobile Radiation Source with Receiver Position Errors. Wireless Pers Commun 137, 199–220 (2024). https://doi.org/10.1007/s11277-024-11387-7

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