基于多参数稳定分布的GBAS垂直保护级计算

doi:10.12305/j.issn.1001-506X.2021.04.20

系统工程与电子技术 ›› 2021, Vol. 43 ›› Issue (4): 1030-1035.doi: 10.12305/j.issn.1001-506X.2021.04.20

基于多参数稳定分布的GBAS垂直保护级计算

孙颢^1,²(), 石潇竹^2,*(), 刘海颖¹(), 李贺²()

1. 南京航空航天大学航天学院, 江苏南京 210016
2. 空中交通管理系统与技术国家重点实验室, 江苏南京 210016

收稿日期:2020-06-16 出版日期:2021-03-25 发布日期:2021-03-31
通讯作者: 石潇竹 E-mail:wsduke@foxmail.com;xidianshi1998@163.com;liuhaiying@nuaa.edu.cn;lihesky1988@163.com
作者简介:孙颢 (1997-), 男, 硕士研究生, 主要研究方向为导航完好性评估。E-mail: wsduke@foxmail.com|石潇竹 (1980-), 男, 高级工程师, 硕士, 主要研究方向为通用航空、空管通信、导航及监视。E-mail: xidianshi1998@163.com|刘海颖 (1980-), 男, 副教授, 博士, 主要研究方向为导航制导与控制。E-mail: liuhaiying@nuaa.edu.cn|李贺 (1988-), 男, 工程师, 博士, 主要研究方向为卫星导航、空中交通管理。E-mail: lihesky1988@163.com
基金资助:
空中交通管理系统与技术国家重点实验室开放基金(SKLATM201903);航空科学基金(201908052002)

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

Hao SUN^1,²(), Xiaozhu SHI^2,*(), Haiying LIU¹(), He LI²()

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

摘要/Abstract

摘要：

针对全球导航卫星系统(global navigation satellite system, GNSS)的地基增强系统(ground based augmentation system, GBAS)的完好性评估过程中, 使用误差包络理论计算保护级(protection level, PL)时, 误差模型存在的“厚尾”“不对称”“非零均值”等问题, 提出了基于稳定分布的误差包络理论。首先给出了高斯包络理论计算PL的模型; 其次推导了两参数与四参数稳定分布误差包络算法; 最后使用仿真数据和通过实验测得的数据, 对多参数稳定包络模型的算法进行评估。结果表明多参数稳定包络法在相似的计算复杂度下, 解决了高斯包络法建模时过于保守的问题, 显著提高了保护级计算的精确性。

关键词: 地基增强系统, 卫星导航, 稳定分布, 完好性, 保护级

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)

孙颢, 石潇竹, 刘海颖, 李贺. 基于多参数稳定分布的GBAS垂直保护级计算[J]. 系统工程与电子技术, 2021, 43(4): 1030-1035.

Hao SUN, Xiaozhu SHI, Haiying LIU, He LI. Calculation of GBAS vertical protection level based on multi-parameterstable distribution[J]. Systems Engineering and Electronics, 2021, 43(4): 1030-1035.

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方法	参数
方法	α	β	σ	δ
两参数	1.644 5	0	0.896 7	0
四参数	1.644 5	-0.022 3	0.896 7	0.029 5

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基于多参数稳定分布的GBAS垂直保护级计算

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

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参数	方法
参数	高斯分布	两参数	四参数
VPL/m	5.939 0	5.223 1	5.209 5