一种基于模糊聚类分析的新型RAIM算法
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摘要
针对接收机自主完备性监测(RAIM)中多粗差的探测识别难题,该文在研究了模糊聚类分析原理和特点的基础上,利用QR检校法构建单点定位的全设计矩阵,提出了基于模糊c均值(FCM)的模糊聚类分析的新型RAIM算法,以实际观测数据对比分析了硬聚类分析和模糊聚类分析在单个粗差和两个粗差下的探测识别性能。由试验结果可知,该文方法可有效实现多个粗差的探测识别问题,解决了单点定位中的质量控制问题,可有效保障单点定位结果的可靠性。
To solve the problem of checking multiple gross errors of receiver autonomous integrity monitoring(RAIM),this paper designed full matrix of single point positioning by QR calibration,and proposed a new RAIM algorithm based on fuzzy clustering analysis with fuzzy c-means(FCM).And on the condition of single or multiple gross errors,the performance of hard or fuzzy clustering analysis were compared.As the results of the experiments,the fuzzy clustering method based on FCM principle could detect multiple gross error effectively,also achieved the quality control of single point positioning and ensured better reliability results.
To solve the problem of checking multiple gross errors of receiver autonomous integrity monitoring(RAIM),this paper designed full matrix of single point positioning by QR calibration,and proposed a new RAIM algorithm based on fuzzy clustering analysis with fuzzy c-means(FCM).And on the condition of single or multiple gross errors,the performance of hard or fuzzy clustering analysis were compared.As the results of the experiments,the fuzzy clustering method based on FCM principle could detect multiple gross error effectively,also achieved the quality control of single point positioning and ensured better reliability results.
引文
[1]秘金钟.GNSS完备性监测理论与应用[M].北京:测绘出版社,2012:172-175.(BEI Jinzhong.Theory and application of GNSS integrity monitoring[M].Beijing:Surveying and Mapping Press,2012:172-175.)
[2]PARKINSON B W,SPILKER J,AXELRAD P,et al.Global positoning system:theory and applications,volumeⅡ[M].Reston,VA,USA:AIAA,1996:143-150.
[3]王文博,张鹏飞,许承东,等.基于BDS/GPS的奇偶矢量RAIM算法研究[C]∥第七届中国卫星导航学术年会论文集.[出版地不详]:[出版者不详],2016.(WANG Wenbo,ZHANG Pengfei,XU Chengdong,et al.The research on parity vector RAIM algorithm based on BDS/GPS multi-constellation[C]∥CSNC2016.[S.l.]:[s.n.],2016.)
[4]李颖,李猛.GPS接收机基于奇偶矢量的RAIM算法研究[J].测绘与空间地理信息,2012,35(1):158-160.(LI Ying,LI Meng.Study on RAIM algorithm of GPS receiver based on parity vector[J].Geomatics&Spatial Information Technology,2012,35(1):158-160.)
[5]李超,朱陵凤,杨青,等.基于最小二乘残差的导航接收机自主完好性监测方法[J].全球定位系统,2016,41(1):69-72.(LI Chao,ZHU Lingfeng,YANG Qing,et al.Research on receiver autonomous integrity monitoring by least squares residuals[J].GNSS World of China,2016,41(1):69-72.
[6]HUNZINGER J F,MORGREN S D,STUDENNY J.CDGPS RAIM algorithm and protection radius calculation[C]∥ION 97.[S.l.]:[s.n.],1997.
[7]JUANG J C.On GPS position and integrity monitoring[J].IEEE Transactions on Aerospace and Electronic Systems,2000,36(1):327-336.
[8]JEON C W,LACHAPELLE G.A new TLS-based sequential algorithm to identify two failed satellites[J].International Journal of Control,Automation,and Systems,2005,3(2):166-172.
[9]杨永波,刘峻宁,张黎.基于总体最小二乘法的RAIM算法研究[J].城市勘测,2009(6):55-57.(YANG Yongbo,LIU Junning,ZHANG Li.RAIM algorithm based on total least squares method[J].Urban Geotechnical Investigation&Surveying,2009(6):55-57.)
[10]NOWAK A.The proposal to“snapshot”rain method for GNSS vessel receivers working in poor space segment geometry[J].Polish Maritime Research,2015,22(4):3-8.
[11]JOERGER M,CHAN F C,PERVAN B.Solution separation versus residual-based RAIM[J].Navigation,2014,61(4):273-291.
[12]俞晨晟.高动态GNSS接收机及多模解算技术研究[D].杭州:浙江大学,2008:61-67.(YU Chensheng.Research on the technology of high dynamic GNSS receiver and multi-mode calculation[D].Hangzhou:Zhejiang University,2008:61-67.)
[13]ZHANG Q,GUI Q M.A new Bayesian RAIM for multiple faults detection and exclusion in GNSS[J].Journal of Navigation,2015,68(3):465-479.
[14]宋建材,侯春萍,薛桂香.基于EKF的GNSS接收机自主完好性监测方法[J].天津大学学报(自然科学与工程技术版),2017,50(4):405-410.(SONG Jiancai,HOU Chunping,XUE Guixiang.GNSS receiver autonomous integrity monitoring based on EKF[J].Journal of Tianjin University(Science and Technology),2017,50(4):405-410.)
[15]秘金钟.GNSS完备性监测方法、技术与应用[D].武汉:武汉大学,2010:111-114.(BEI Jinzhong.GNSS integrity monitoring method,technology and application[D].Wuhan:Wuhan University,2010:111-114.)
[2]PARKINSON B W,SPILKER J,AXELRAD P,et al.Global positoning system:theory and applications,volumeⅡ[M].Reston,VA,USA:AIAA,1996:143-150.
[3]王文博,张鹏飞,许承东,等.基于BDS/GPS的奇偶矢量RAIM算法研究[C]∥第七届中国卫星导航学术年会论文集.[出版地不详]:[出版者不详],2016.(WANG Wenbo,ZHANG Pengfei,XU Chengdong,et al.The research on parity vector RAIM algorithm based on BDS/GPS multi-constellation[C]∥CSNC2016.[S.l.]:[s.n.],2016.)
[4]李颖,李猛.GPS接收机基于奇偶矢量的RAIM算法研究[J].测绘与空间地理信息,2012,35(1):158-160.(LI Ying,LI Meng.Study on RAIM algorithm of GPS receiver based on parity vector[J].Geomatics&Spatial Information Technology,2012,35(1):158-160.)
[5]李超,朱陵凤,杨青,等.基于最小二乘残差的导航接收机自主完好性监测方法[J].全球定位系统,2016,41(1):69-72.(LI Chao,ZHU Lingfeng,YANG Qing,et al.Research on receiver autonomous integrity monitoring by least squares residuals[J].GNSS World of China,2016,41(1):69-72.
[6]HUNZINGER J F,MORGREN S D,STUDENNY J.CDGPS RAIM algorithm and protection radius calculation[C]∥ION 97.[S.l.]:[s.n.],1997.
[7]JUANG J C.On GPS position and integrity monitoring[J].IEEE Transactions on Aerospace and Electronic Systems,2000,36(1):327-336.
[8]JEON C W,LACHAPELLE G.A new TLS-based sequential algorithm to identify two failed satellites[J].International Journal of Control,Automation,and Systems,2005,3(2):166-172.
[9]杨永波,刘峻宁,张黎.基于总体最小二乘法的RAIM算法研究[J].城市勘测,2009(6):55-57.(YANG Yongbo,LIU Junning,ZHANG Li.RAIM algorithm based on total least squares method[J].Urban Geotechnical Investigation&Surveying,2009(6):55-57.)
[10]NOWAK A.The proposal to“snapshot”rain method for GNSS vessel receivers working in poor space segment geometry[J].Polish Maritime Research,2015,22(4):3-8.
[11]JOERGER M,CHAN F C,PERVAN B.Solution separation versus residual-based RAIM[J].Navigation,2014,61(4):273-291.
[12]俞晨晟.高动态GNSS接收机及多模解算技术研究[D].杭州:浙江大学,2008:61-67.(YU Chensheng.Research on the technology of high dynamic GNSS receiver and multi-mode calculation[D].Hangzhou:Zhejiang University,2008:61-67.)
[13]ZHANG Q,GUI Q M.A new Bayesian RAIM for multiple faults detection and exclusion in GNSS[J].Journal of Navigation,2015,68(3):465-479.
[14]宋建材,侯春萍,薛桂香.基于EKF的GNSS接收机自主完好性监测方法[J].天津大学学报(自然科学与工程技术版),2017,50(4):405-410.(SONG Jiancai,HOU Chunping,XUE Guixiang.GNSS receiver autonomous integrity monitoring based on EKF[J].Journal of Tianjin University(Science and Technology),2017,50(4):405-410.)
[15]秘金钟.GNSS完备性监测方法、技术与应用[D].武汉:武汉大学,2010:111-114.(BEI Jinzhong.GNSS integrity monitoring method,technology and application[D].Wuhan:Wuhan University,2010:111-114.)