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YIN Jiexin, WANG Ding, ZHOU Nan, et al. A multi-target cooperative direct position determination algorithm fusing satellite and shortwave signals in the presence of satellite orbit errors[J]. Journal of Radars, in press. doi: 10.12000/JR25138
Citation: YIN Jiexin, WANG Ding, ZHOU Nan, et al. A multi-target cooperative direct position determination algorithm fusing satellite and shortwave signals in the presence of satellite orbit errors[J]. Journal of Radars, in press. doi: 10.12000/JR25138
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A multi-target Cooperative Direct Position Determination Algorithm Fusing Satellite and Shortwave Signals in the Presence of Satellite Orbit errors

DOI: 10.12000/JR25138 CSTR: 32380.14.JR25138
  • 1.

    Institute of Information System Engineering, Information Engineering University, Zhengzhou 450001, China

  • 2.

    National Digital Switching System Engineering and Technology Research Center, Zhengzhou 450002, China

Funds:  The National Natural Science Foundation of China (61901526, 62171469, 62071029), Military Science and Technology Youth Talent Support Program (2022-JCJQ-QT-028), Henan Provincial Excellent Young Scientists Fund (242300421174)
More Information
  • Corresponding author: WANG Ding, wang_ding814@aliyun.com
  • Received Date: 2025-07-25
  • Rev Recd Date: 2026-09-07
    • Available Online: 2026-09-12
    Abstract
  • To address the over-the-horizon localization of multiple ground-based radiating sources in the presence of satellite orbit errors, this paper proposes a multi-target cooperative Direct Position Determination (DPD) algorithm fusing satellite and shortwave signals. Under the Earth ellipsoid model, the geometric relationships among shortwave azimuth angles, satellite time differences of arrival, and the geodetic coordinates of the target radiators are exploited to construct a multi-target over-the-horizon localization model that jointly incorporates shortwave and satellite observations. Furthermore, the statistical model of satellite orbit errors is combined with the observation models of the two frequency bands to formulate a Bayesian maximum likelihood cost function, and an alternating iterative scheme is designed to jointly estimate the unknown parameters, including the geodetic coordinates of the multiple targets and the satellite orbit errors. Simulation results show that the proposed algorithm attains markedly higher localization accuracy than methods relying solely on satellite or on shortwave measurements, and that it remains robust to changes in the geometric layout of observers and targets. Moreover, the algorithm also effectively mitigates the accuracy degradation caused by satellite orbit errors and maintains strong performance even when these errors are large.

     

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