Systems Engineering and Electronics ›› 2021, Vol. 43 ›› Issue (4): 1030-1035.doi: 10.12305/j.issn.1001-506X.2021.04.20

• Guidance, Navigation and Control • Previous Articles     Next Articles

Calculation of GBAS vertical protection level based on multi-parameterstable distribution

Hao SUN1,2(), Xiaozhu SHI2,*(), Haiying LIU1(), He LI2()   

  1. 1. College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
    2. States Key Laboratory of Air Traffic Management System and Technology, Nanjing 210016, China
  • Received:2020-06-16 Online:2021-03-25 Published:2021-03-31
  • Contact: Xiaozhu SHI E-mail:wsduke@foxmail.com;xidianshi1998@163.com;liuhaiying@nuaa.edu.cn;lihesky1988@163.com

Abstract:

During the integrity assessment of the ground based augmentation system (GBAS) for the global navigation satellite system (GNSS), the error overbounding method is used to calculate the protection level (PL). To solve the problems of "thick tail", "asymmetric" and "non-zero mean" appearing in the error model, a method based on stable distribution is proposed to overbound the GBAS error. Firstly, the traditional calculation methods and research status are introduced. Secondly, the algorithm of the overbounding error through multi-parameter stable distribution is derived. Finally, the simulation model data and measured data are applied to analyze the error model and calculate the PL by the use of the multi-parameter stable overbound model. The results show that the stable overbound model solves the problem of over-conservativeness in modeling with the Gaussian overbound method under similar computational complexity, and significantly improves the accuracy of PL calculation.

Key words: ground based augmentation system (GBAS), satellite navigation, stable distribution, integrity, protection level (PL)

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