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An improved adaptive Sage filter with applications in GEO orbit determination and GPS kinematic positioning

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Abstract

The shortcomings of an adaptive Sage filter are analyzed in this paper. An improved adaptive Sage filter is developed by using a weighted average quadratic form of the historical residuals of observations and predicted states to evaluate the covariance matrices of observations and dynamic model errors at the present epoch. The weight function is constructed based on the variances of observational residuals or predicted state residuals and the space distance between the previous and the present epoch. In order to balance the contributions of the measurements and the dynamic model information, an adaptive factor is applied by using a two-segment function and predicted state discrepancy statistics. Two applications, orbit determination of a maneuvered GEO satellite and GPS kinematic positioning, are conducted to verify the performance of the proposed method.

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Authors and Affiliations

  1. Xi’an Research Institute of Surveying and Mapping, Xi’an, 710054, China

    TianHe Xu

  2. GFZ German Research Centre for Geosciences, Potsdam, 14473, Germany

    TianHe Xu

  3. College of Geology Engineering and Geomatic, Chang’an University, Xi’an, 710054, China

    Nan Jiang & ZhangZhen Sun

Authors
  1. TianHe Xu
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  2. Nan Jiang
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  3. ZhangZhen Sun
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Correspondence to TianHe Xu.

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Xu, T., Jiang, N. & Sun, Z. An improved adaptive Sage filter with applications in GEO orbit determination and GPS kinematic positioning. Sci. China Phys. Mech. Astron. 55, 892–898 (2012). https://doi.org/10.1007/s11433-012-4659-z

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  • DOI: https://doi.org/10.1007/s11433-012-4659-z

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