MHSS ARAIM algorithm combined with gross error detection

doi:10.11947/j.AGCS.2019.20170367

Abstract

Abstract:

Because there are some shortcomings in the current MHSS ARAIM algorithm, such as the weaker robustness, too many computational subsets and large amount of computation, a multiple hypothesis solution separation advanced receiver autonomous integrity monitoring (MHSS ARAIM) algorithm combined with gross error detection is proposed in this paper. With this new algorithm, the gross error detection method is used to identify and eliminate the gross data in the original data first. Then the MHSS ARAIM algorithm is used to deal with the data after the gross error detection. Therefore, this new algorithm can make up for the weakness of the MHSS ARAIM algorithm. Through the data processing and analysis from several IGS and international GNSS monitoring and assessment system (iGMAS) stations, the results show that this new algorithm is superior to MHSS ARAIM in the aviation phase of LPV-200 when it is used in the navigation with GPS and BDS. And under the assumption of a faulty satellite, accuracy of the effective monitoring threshold (EMT) is improved about 22.47% and 9.63%, and accuracy of the vertical protection level (VPL) is improved about 32.28% and 12.98%respectively for GPS and BDS observations respectively. Moreover,under the assumption of two faulty satellites, accuracy of the EMT is improved about 80.85% and 29.88%, and accuracy of the VPL is improved about 49.66% and 18.24% for GPS and BDS observations respectively.

Key words: gross error detection, ARAIM, fault detection and identification, MHSS ARAIM

CLC Number:

P228

ZHANG Yabin, WANG Li, FAN Lihong, QU Xuanyu. MHSS ARAIM algorithm combined with gross error detection[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(1): 9-17.

References

[1] 徐肖豪, 杨传森, 刘瑞华. GNSS用户端自主完好性监测研究综述[J]. 航空学报, 2013, 34(3):451-463. XU Xiaohao, YANG Chuansen, LIU Ruihua. Review and prospect of GNSS receiver autonomous integrity monitoring[J]. Acta Aeronauticaet Astronautica Sinica, 2013, 34(3):451-463.
[2] ENGE P, PARKINSON B W, SPILKER J J JR, et al. Global positioning system:theory and applications[M]. Washington, DC:AIAA. 1996.
[3] 陈金平. GPS完善性增强研究[D]. 郑州:信息工程大学, 2001. CHEN Jinping. Research of GPS integrity augmentation[D]. Zhengzhou:Information Engineering University, 2001.
[4] PATERNOSTRO S, MOORE T, HILL C, et al. Examples of user algorithms implementing ARAIM techniques for integrity performance prediction, procedures development and pre-flight operations[C]//Proceedings of the 8th ESA Workshop on Satellite Navigation Technologies and European Workshop on GNSS Signals and Signal Processing. Noordwijk, Netherlands:IEEE, 2016:1-15.
[5] BLANCH J, WALTER T, ENGE P. A simple satellite exclusion algorithm for advanced RAIM[C]//Proceedings of the 2016 International Technical Meeting of the Institute of Navigation. Monterey, California:ION, 2016:239-244.
[6] BLANCH J, WALTER T, ENGE P, et al. Advanced RAIM user algorithm description:integrity support message processing, fault detection, exclusion, and protection level calculation[C]//Proceedings of the 25th International Technical Meeting of the Satellite Division of the Institute of Navigation. Nashville, TN:ION, 2012:2828-2849.
[7] WALTER T, BLANCH J, JOERGER M, et al. Determination of fault probabilities for ARAIM[C]//Proceedings of 2016 IEEE/ION Position, Location and Navigation Symposium. Savannah, GA:IEEE, 2016:451-461.
[8] GEAS Panel Study. GNSS evolutionary architecture study:phase Ⅱ report[R]. New York:FAA, 2010.
[9] GRATTON L, JOERGER M, PERVAN B. Carrier phase relative RAIM algorithms and protection level derivation[J]. Journal of Navigation, 2010, 63(2):215-231.
[10] 肖伟, 刘文祥, 徐博, 等. LPV-200下中国区域内ARAIM可用性评估[J]. 全球定位系统, 2014, 39(5):32-36. XIAO Wei, LIU Wenxiang, XU Bo, et al. The current ARAIM availability in China according to LPV-200[J]. GNSS World of China, 2014, 39(5):32-36.
[11] 吕宗平, 倪育德, 陈君, 等. 基于MHSS算法的ARAIM完好性和可用性预测[J]. 中国空间科学技术, 2017, 37(1):41-48. LÜ Zongping, NI Yude, CHEN Jun, et al. Prediction of ARAIM integrity and availability based on MHSS algorithm[J]. Chinese Space Science and Technology, 2017, 37(1):41-48.
[12] 陈雪, 范胜林, 石威, 等. 基于北斗的ARAIM算法在LPV-200下的可用性研究[J]. 导航与控制, 2015, 14(5):53-58. CHEN Xue, FAN Shenglin, SHI Wei, et al. Study on availability of ARAIM under LPV-200 using BDS[J]. Navigation and Control, 2015, 14(5):53-58.
[13] BAARDA W. A testing procedure for use in geodetic networks[J]. Publications on Geodesy, 1968, 2(5):234-241.
[14] 欧吉坤. 粗差的拟准检定法(QUAD法)[J]. 测绘学报, 1999, 28(1):15-20. OU Jikun. Quasi-accurate detection of gross errors (QUAD)[J]. Acta Geodaetica et Cartographica Sinica, 1999, 28(1):15-20.
[15] WIESER A. Robust and fuzzy techniques for parameter estimation and quality assessment in GPS[M]. Aachen:Shaker, 2002.
[16] YANG Y, SONG L, XU T. Robust estimator for correlated observations based on bifactor equivalent weights[J]. Journal of Geodesy, 2002, 76(6-7):353-358.
[17] ANDERSEN R. Modern methods for robust regression[M]. Los Angeles:SAGE Publications, 2008:48-70.
[18] 仝海波, 张国柱. 改进M估计的抗多个粗差定位解算方法[J]. 测绘学报, 2014, 43(4):366-371. DOI:10.13485/j.cnki.11-2089.2014.0055. TONG Haibo, ZHANG Guozhu. Robust positioning algorithm with modified M-estimation for multiple outliers[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(4):366-371. DOI:10.13485/j.cnki.11-2089.2014.0055.
[19] 任锴, 杨力, 赵庆海. QUAD方法用于RAIM故障检测[J]. 大地测量与地球动力学, 2009, 29(5):125-128. REN Kai, YANG Li, ZHAO Qinghai. Application of QUAD method to fault detection and exclusion in GNSS receiver autonomous integrity monitoring (RAIM)[J]. Journal of Geodesy and Geodynamics, 2009, 29(5):125-128.
[20] 唐艳梅, 王坚, 刘超, 等. 基于信噪比加权的丹麦法抗差导航模型研究[J]. 全球定位系统, 2010, 35(6):12-16. TANG Yanmei, WANG Jian, LIU Chao, et al. Research on Danish robust navigation model based on S/N weighted[J]. GNSS World of China, 2010, 35(6):12-16.
[21] 闫志跃, 喻国荣, 潘树国, 等. 稳健估计方法用于接收机自主完备性监测的比较[C]//第四届中国卫星导航学术年会论文集-S5卫星导航增强与完好性监测. 武汉:中国卫星导航学术年会组委会, 2013:4-10. YAN Zhiyue, YU Guorong, PAN Shuguo, et al. Comparison of robust estimation methods in RAIM[C]//China Satellite Navigation Conference. Wuhan:China Organizing Committee on Satellite Navigation Annual Meeting, 2013:4-10.
[22] BLANCH J, WALTER T, ENGE P. RAIM with optimal integrity and continuity allocations under multiple failures[J]. IEEE Transactions on Aerospace and Electronic Systems, 2010, 46(3):1235-1247.
[23] LI Bin, SANG Jizhang, WU Yun. Validation of GNSS ARAIM algorithm using real data[C]//Proceedings of the China Satellite Navigation Conference (CSNC) 2014:Volume Ⅱ. Berlin:Springer, 2014:203-213.
[24] KROPP V, EISSFELLER B, BERZ G. Optimized MHSS ARAIM user algorithms:assumptions, protection level calculation and availability analysis[C]//Proceedings of 2014 IEEE/ION Position, Location and Navigation Symposium. Monterey, CA:IEEE, 2014:308-323.
[25] BLANCH J. MHSS ARAIM algorithm and constrained constellation faults[R]//The EU-US Cooperative WG-C ARAIM Subgroup Meeting. Warsaw:[s.n.], 2011.
[26] JIANG Yiping, WANG Jinling. A-RAIM and R-RAIM performance using the classic and MHSS methods[J]. Journal of Navigation, 2014, 67(1):49-61.
[27] BLANCH J, WALTER T, ENGE P, et al. A proposal for multi-constellation advanced RAIM for vertical guidance[C]//Proceedings of the 24th International Technical Meeting of the Satellite Division of the Institute of Navigation. Portland, OR:ION, 2011:2665-2680.
[28] 曹玉明, 彭祥国, 谭兴龙. GNSS导航卫星多维粗差定位算法研究[J]. 测绘科学, 2013, 38(2):29-31. CAO Yuming, PENG Xiangguo, TAN Xinglong. Algorithm of multi-dimensional gross errors location of GNSS navigation satellites[J]. Science of Surveying and Mapping, 2013, 38(2):29-31.