ARAIM算法的风险概率优化分配

doi:10.11947/j.AGCS.2021.20200260

测绘学报 ›› 2021, Vol. 50 ›› Issue (12): 1751-1761.doi: 10.11947/j.AGCS.2021.20200260

ARAIM算法的风险概率优化分配

韩清清^1,2, 王利^1,3,4, 罗思龙^1,5, 舒宝^1,3,4, 岳聪^1,6

1. 长安大学地质工程与测绘学院, 陕西西安 710054;
2. 黄河水利职业技术学院测绘工程学院, 河南开封 475004;
3. 地理信息工程国家重点实验室, 陕西西安 710054;
4. 西部矿产资源与地质工程教育部重点实验室, 陕西西安 710054;
5. 中南大学地球科学与信息物理学院, 湖南长沙 410083;
6. 自然资源部第一大地测量队, 陕西西安 710054

收稿日期:2020-06-24 修回日期:2021-08-24 发布日期:2022-01-08
通讯作者: 王利 E-mail:wangli@chd.edu.cn
作者简介:韩清清(1994—),女,硕士,研究方向为GNSS接收机自主完好性监测。
基金资助:
国家自然科学基金（41877289；41731066；41604001）；国家重点研发计划项目重点专项（2018YFC1504805；2018YFC1505102）；地理信息工程国家重点实验室开放研究基金（SKLGE2017-Z-2-1）

Optimal allocation of risk probability based on ARAIM algorithm

HAN Qingqing^1,2, WANG Li^1,3,4, LUO Silong^1,5, SHU Bao^1,3,4, YUE Cong^1,6

1. College of Geological Engineering and Geomatics, Chang'an University, Xi'an 710054 China;
2. College of Surveying and Mapping Engineering, Yellow River Conservancy Technical Institute, Kaifeng 475004, China;
3. State Key Laboratory of Geographic Information Engineering, Xi'an 710054, China;
4. Key Laboratory of Western China's Mineral Resources and Geological Engineering Ministry of Education, Xi'an 710054, China;
5. School of Geosciences and Info-physics, Central South University, Changsha 410083, China;
6. The First Geodetic Survey Brigade of MNR, Xi'an 710054, China

Received:2020-06-24 Revised:2021-08-24 Published:2022-01-08
Supported by:
The National Natural Science Foundation of China (Nos. 41877289;41731066;41604001);The National Key Research and Development Program of China (Nos. 2018YFC1504805;2018YFC1505102);The State Key Laboratory of Geo-information Engineering (No. SKLGIE2017-Z-2-1)

摘要/Abstract

摘要： 基础的ARAIM（advanced receiver autonomous integrity monitoring）算法将连续性风险和完好性风险概率平均分配给所有可见卫星，导致VPL（vertical protection level）较为保守。因此，采用了一种最大值最小化方法，利用Matlab的fminimax函数，对完好性风险和连续性风险进行合理分配，提高单星座ARAIM的可用性。实测数据的算例结果表明：无论是静态还是动态数据，最大值最小化方法都能够合理地进行风险分配。GPS和BDS单系统的VPL平均改善率为12.14%和10.63%，STD（standard deviation）平均改善率为78.69%和72.33%，并且该优化算法与其他两种优化算法相比，提高LPV-200下ARAIM可用性的效果更佳。仿真全球的结果表明：采用最大值最小化方法之后，GPS的ARAIM可用性大于90%、99.5%的覆盖范围由26.60%、0%分别增加到了38.69%、17.35%；BDS的ARAIM可用性大于90%、99.5%的覆盖范围由30.73%、19.91%分别增加到了34.28%、22.33%。

关键词: ARAIM, LPV-200, 连续性风险, 完好性风险, 风险概率分配

Abstract: The advanced receiver autonomous integrity monitoring (ARAIM) algorithm distributes the probability of continuity risk and integrity risk equally to all visible satellites, resulting in the relatively conservative vertical protection level (VPL). Therefore, a maximum minimization method was adopted, and fminimax function of Matlab was used to reasonably allocate the intact risk and the continuity risk, improving the availability of single constellation ARAIM. The results of the calculation examples of the measured data show that: whether it is static or dynamic data, the maximum minimization method can reasonably allocate the risk. The average improvement rate of VPL for GPS and BDS single systems is 12.14% and 10.63%, respectively, and the average improvement rate of STD (standard deviation) is 78.69% and 72.33%, respectively. Compared with other two optimization algorithms, the optimization algorithm has a better effect of improving the availability of ARAIM under LPV-200. Global simulation results show that after using the maximum minimization method, GPS ARAIM availability is greater than 90% and 99.5% coverage has increased from 26.60% and 0% to 38.69% and 17.35%, respectively. BDS ARAIM availability is greater than 90%. The coverage of 99.5% has increased from 30.73% and 19.91% to 34.28% and 22.33%, respectively.

Key words: ARAIM, LPV-200, continuity risk, integrity risk, risk probability allocation

中图分类号:

P228

韩清清, 王利, 罗思龙, 舒宝, 岳聪. ARAIM算法的风险概率优化分配[J]. 测绘学报, 2021, 50(12): 1751-1761.

HAN Qingqing, WANG Li, LUO Silong, SHU Bao, YUE Cong. Optimal allocation of risk probability based on ARAIM algorithm[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(12): 1751-1761.

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ARAIM算法的风险概率优化分配

Optimal allocation of risk probability based on ARAIM algorithm

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