Application of Unscented Kalman Filter in Nonlinear Geodetic Problems

  • D. Zhao
  • Z. Cai
  • C. Zhang
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 132)


The Extended Kalman Filter (EKF) has been one of the most widely used methods for non-linear estimation. In recent several decades people have realized that there are a lot of constraints in applications of the EKF for its hard implementation and intractability. In this paper an alternative estimation method is proposed, which takes advantage of the Unscented Transform thus approximating the true mean and variance more accurately. The method can be applied to non-linear systems without the linearization process necessary for the EKF, and it does not demand a Gaussian distribution of noise and its ease of implementation and more accurate estimation features enable it to demonstrate its good performance. Numerical experiments on satellite orbit determination and deformation data analysis show that the method is more effective than EKF in nonlinear problems.


EKF unscented transform satellite orbit simulation 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • D. Zhao
    • 1
    • 2
  • Z. Cai
    • 3
  • C. Zhang
    • 4
  1. 1.School of Geodesy and Geomatics, Wuhan UniversityHubei ProvinceP.R. China
  2. 2.Department of Geodesy and Navigation EngineeringZhengzhou Institute of Surveying and MappingHenan ProvinceP.R. China
  3. 3.Global Information Application and Development Center of BeijingBeijing 100094P.R. China
  4. 4.Department of Geodesy and Navigation EngineeringZhengzhou Institute of Surveying and MappingHenan ProvinceP.R. China

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