PM2.5影响下的PPP定位结果残差改正研究
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摘要
本文针对雾霾情况下PPP定位精度受损的问题,提出了一种新的PM2.5影响下的PPP定位结果残差改正算法。通过分析定位残差及PM2.5相互关系,比对多种数学拟合结果,得到最优拟合方式,探索出相应的残差改正项计算方法,可有效改正雾霾残差。在研究不同PPP定位模式下各分量与PM2.5的关系后,发现PM2.5对PPP静态定位影响显著,PM2.5高于160时对Y、Z方向的精度明显受损,基于残差同PM2.5的数据比对,通过拟合实现了一种PM2.5影响下的PPP定位结果残差改正方法。实验验证结果表明,在PM2.5大于160时,PPP静态定位引入该项改正,可以有效提高定位精度,为今后雾霾情况下通过PPP静态定位开展的测绘生产成果改进提供有效的手段。
In this paper, a novel error correction algorithm of PPP positioning under the influence of PM2.5 is proposed, deals with the problem that the accuracy of PPP positioning is impaired in the case of haze. This paper analyzes the relationship between positioning residuals and PM2.5, compares the results of a variety of mathematical fitting, finds out the optimal fitting method, and explores the corresponding residual correction method, which can effectively correct effects by haze. After studying the relationship between the coordinate components and PM2.5 in different PPP positioning modes, it is found that the accuracy is significantly declined when PM2.5 is higher than 160 in PPP static positioning. Based on the comparison between PM2.5 and residual error, this paper proposes a residual error correction method. The experimental results show that PPP static positioning accuracy can be improved when introduces this correction, which can provide an effective means for improving the results of surveying and mapping production in haze.
In this paper, a novel error correction algorithm of PPP positioning under the influence of PM2.5 is proposed, deals with the problem that the accuracy of PPP positioning is impaired in the case of haze. This paper analyzes the relationship between positioning residuals and PM2.5, compares the results of a variety of mathematical fitting, finds out the optimal fitting method, and explores the corresponding residual correction method, which can effectively correct effects by haze. After studying the relationship between the coordinate components and PM2.5 in different PPP positioning modes, it is found that the accuracy is significantly declined when PM2.5 is higher than 160 in PPP static positioning. Based on the comparison between PM2.5 and residual error, this paper proposes a residual error correction method. The experimental results show that PPP static positioning accuracy can be improved when introduces this correction, which can provide an effective means for improving the results of surveying and mapping production in haze.
引文
[1] 章红平,高周正,牛小骥等.GPS非差非组合精密单点定位算法研究 [J].武汉大学学报(信息科学版),2013,38(12):1396～1399.Zhang Hongping,Gao Zhouzheng,Niu Xiaoji et al.Research on GPS precise point positioning with un-differential and un-combined observations[J].Geomatics and Information Science of Wuhan University,2013,38(12):1396～1399.(in Chinese)
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[3] Kouba J,Heroux P.Precise point positioning using IGS orbit and clock products[J].GPS Solutions,2001.
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[7] 王勇,刘严萍,李江波等.基于不同季节的北京市GPS可降水量与PM2.5/PM10的比较研究[J].大地测量与地球动力学,2015,35(3):365～367.Wang Yong,Liu Yanping,Li Jiangbo et al.Comparison between GPS PWV and PM2.5/PM10 in Beijing based on different seasons[J].Journal of Geodesy and Geodynamics,2015,35(3):365～367.(in Chinese)
[8] 张双成,李振宇等.北京地区GPS水汽变化与雾霾的相关性[J].测绘科学,2016,41(8):43～47.Zhang Shuangcheng,Li Zhenyu et al.Correlation analysis of GPS water vapor and haze in Beijing[J].Science of Surveying and Mapping,2016,41(8):43～47.(in Chinese)
[9] 李征航,黄劲松.GPS测量与数据处理(第2版)[M].武汉:武汉大学出版社,2010.Li Zhenghang,Huang Jinsong.GPS surveying and data processing (second edition)[M].Wuhan:Wuhan University Press,2010.(in Chinese)
[10] 李征航,张小红.卫星导航定位新技术及高精度数据处理方法[M].武汉:武汉大学出版社,2009.Li Zhenghang,Zhang Xiaohong.New techniques and precise data processing methods of satellite navigationand positioning[M].Wuhan:Wuhan University Press,2009.(in Chinese)
[11] 张小红,刘经南等.基于精密单点定位技术的航空测量应用实践[J].武汉大学学报(信息科学版),2006,31(1):19～22.Zhang Xiaohong,Liu Jingnan et al.Application of precise point positioning in airborne survey[J].Geomatics and Information Science of Wuhan University,2006,31(1):19～22.(in Chinese)
[12] 刘经南,叶世榕.GPS非差相位精密单点定位技术探讨[J].武汉大学学报(信息科学版),2002,27(3):234～240.Liu Jingnan,Ye Shirong.GPS precise point positioning using undifferenced phase observation[J].Geomatics and Information Science of Wuhan University,2002,27(3):234～240.(in Chinese)
[13] 施展,孟祥广,郭际明等.GPS精密单点定位中对流层延迟模型改正法与参数估计法的比较[J].测绘通报,2009,(6):9～11.Shi Zhan,Meng Xiangguang,Guo Jiming et al.Comparison between modeling method and parameter-estimation methodin tropospheric delay correction of GPS precise point positioning[J].Bulletin of Surveying and Mapping,2009,(6):9～11.(in Chinese)
[14] 王勇,刘严萍.地基GPS气象学原理与应用研究 [M].北京:测绘出版社,2012.Wang Yong,Liu Yanping.Theory and application of ground-based GPS meteorology[M].Beijing:Surveying and Mapping Press,2012.(in Chinese)
[15] 王敏.实时精密单点定位技术及其在大气探测中的应用[D].郑州:解放军信息工程大学,2013.Wang Min.Real-time precise point positioning and its application in atmosphere sensing[D].Zhengzhou:The PLA Information Engineering University,2013.(in Chinese)
[2] 孟祥广,郭际明.GPS/GLONASS及其组合精密单点定位研究[J].武汉大学学报(信息科学版),2010,(12):1409～1413.Meng Xiangguang,Guo Jiming.GPS-GLONASS and their combined precise point positioning[J].Geomatics and Information Science of Wuhan University,2010,(12):1409～1413.(in Chinese)
[3] Kouba J,Heroux P.Precise point positioning using IGS orbit and clock products[J].GPS Solutions,2001.
[4] Cai Changsheng,Gao Yang.Performance analysis of precise point positioning based on combined GPS and GLONASS[J].Proceedings of ION GNSS,2007.
[5] 夏朋飞,叶世榕,江鹏.GPS/GLONASS组合精密单点定位技术在三维水汽层析中的应用[J].大地测量与地球动力学,2015,35(1):72～76.Xia Pengfei,Ye Shirong,Jiang Peng.Research on three-dimensional water vapor tomography using GPS/GLONASS PPP method[J].Journal of Geodesy and Geodynamics,2015,35(1):72～76.(in Chinese)
[6] 王勇,闻德保,刘严萍.雾霾天气对GPS天顶对流层延迟与可降水量影响研究[J].大地测量与地球动力学,2014,34(2):120～123.Wang Yong,Wen Debao,Liu Yanping.Effects of fog and haze weather on GPS zenith tropospheric delay and precipitable water vapor [J].Journal of Geodesy and Geodynamics,2014,34(2):120～123.(in Chinese)
[7] 王勇,刘严萍,李江波等.基于不同季节的北京市GPS可降水量与PM2.5/PM10的比较研究[J].大地测量与地球动力学,2015,35(3):365～367.Wang Yong,Liu Yanping,Li Jiangbo et al.Comparison between GPS PWV and PM2.5/PM10 in Beijing based on different seasons[J].Journal of Geodesy and Geodynamics,2015,35(3):365～367.(in Chinese)
[8] 张双成,李振宇等.北京地区GPS水汽变化与雾霾的相关性[J].测绘科学,2016,41(8):43～47.Zhang Shuangcheng,Li Zhenyu et al.Correlation analysis of GPS water vapor and haze in Beijing[J].Science of Surveying and Mapping,2016,41(8):43～47.(in Chinese)
[9] 李征航,黄劲松.GPS测量与数据处理(第2版)[M].武汉:武汉大学出版社,2010.Li Zhenghang,Huang Jinsong.GPS surveying and data processing (second edition)[M].Wuhan:Wuhan University Press,2010.(in Chinese)
[10] 李征航,张小红.卫星导航定位新技术及高精度数据处理方法[M].武汉:武汉大学出版社,2009.Li Zhenghang,Zhang Xiaohong.New techniques and precise data processing methods of satellite navigationand positioning[M].Wuhan:Wuhan University Press,2009.(in Chinese)
[11] 张小红,刘经南等.基于精密单点定位技术的航空测量应用实践[J].武汉大学学报(信息科学版),2006,31(1):19～22.Zhang Xiaohong,Liu Jingnan et al.Application of precise point positioning in airborne survey[J].Geomatics and Information Science of Wuhan University,2006,31(1):19～22.(in Chinese)
[12] 刘经南,叶世榕.GPS非差相位精密单点定位技术探讨[J].武汉大学学报(信息科学版),2002,27(3):234～240.Liu Jingnan,Ye Shirong.GPS precise point positioning using undifferenced phase observation[J].Geomatics and Information Science of Wuhan University,2002,27(3):234～240.(in Chinese)
[13] 施展,孟祥广,郭际明等.GPS精密单点定位中对流层延迟模型改正法与参数估计法的比较[J].测绘通报,2009,(6):9～11.Shi Zhan,Meng Xiangguang,Guo Jiming et al.Comparison between modeling method and parameter-estimation methodin tropospheric delay correction of GPS precise point positioning[J].Bulletin of Surveying and Mapping,2009,(6):9～11.(in Chinese)
[14] 王勇,刘严萍.地基GPS气象学原理与应用研究 [M].北京:测绘出版社,2012.Wang Yong,Liu Yanping.Theory and application of ground-based GPS meteorology[M].Beijing:Surveying and Mapping Press,2012.(in Chinese)
[15] 王敏.实时精密单点定位技术及其在大气探测中的应用[D].郑州:解放军信息工程大学,2013.Wang Min.Real-time precise point positioning and its application in atmosphere sensing[D].Zhengzhou:The PLA Information Engineering University,2013.(in Chinese)