高阶电离层延迟对中国区域双差定位影响研究
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摘要
给出顾及高阶电离层延迟改正的双差定位模型,探讨中国区域VTEC的时空变化规律,分析高阶电离层延迟对L_3观测值的影响。利用41个陆态网测站2015年全年的GNSS数据,基于Bernese 5.2软件的双差定位技术,系统研究高阶电离层延迟对中国区域双差定位的影响及其时空分布规律。结果表明,高阶电离层延迟对中国区域双差定位的影响与测站网型结构相关,明显存在0.5 a的周期变化,影响年均值大小为0～2 mm,且具有方向性差异,对高纬度测站的影响有向北偏移趋势,对低纬度测站的影响有向南偏移趋势。
First, based on the double-differenced positioning mathematical model and the VTEC temporal–spatial distribution of China region, we analyze the influence of higher-order ionospheric delay on L_3 observation. Second, to investigate the temporal-spatial distribution characteristics of the higher-order ionospheric effect on GNSS double-differenced positioning in China region, GNSS data from 41 CMONOC stations spanning the year 2015 are processed based on the double-differenced positioning technology of BERNESE GNSS software version 5.2. Numerical results show that the influence of high-order ionospheric delay on double-differenced positioning in China region is related to the distribution of the selected stations, and there are obvious semi-annual variations and directional difference. With high latitude sites moving north and low latitude sites moving south, the size of the annual averages are up to 2 mm.
First, based on the double-differenced positioning mathematical model and the VTEC temporal–spatial distribution of China region, we analyze the influence of higher-order ionospheric delay on L_3 observation. Second, to investigate the temporal-spatial distribution characteristics of the higher-order ionospheric effect on GNSS double-differenced positioning in China region, GNSS data from 41 CMONOC stations spanning the year 2015 are processed based on the double-differenced positioning technology of BERNESE GNSS software version 5.2. Numerical results show that the influence of high-order ionospheric delay on double-differenced positioning in China region is related to the distribution of the selected stations, and there are obvious semi-annual variations and directional difference. With high latitude sites moving north and low latitude sites moving south, the size of the annual averages are up to 2 mm.
引文
[1] 范胜军.顾及地磁场影响的电离层高阶项改正算法研究[D].武汉:武汉大学,2005(Fan Shengjun.Research on Corrected Higher-Order Ionospheric Delay Error with Geomagnetic Effect[D].Wuhan:Wuhan University,2005)
[2] 王虎.GPS精密单点定位中电离层延迟改正模型的研究与分析[D].长沙:中南大学,2008(Wang Hu.Research on the Model of Ionospheric Delay Correction in GPS Precise Point Positioning[D].Changsha:Central South University,2008)
[3] 匡翠林,金蕾.精密单点定位的高阶电离层误差改正研究[J].武汉大学学报:信息科学版,2013,38(8):888-891(Kuang Cuilin,Jin Lei.Higher-Order Ionospheric Error Correction for Precise Point Positioning[J].Geomatics and Information Science of Wuhan University,2013,38(8):888-891)
[4] 张双成,涂锐,张勤,等.电离层二阶项模型的构建及其变化规律分析研究[J].测绘学报,2011,40(增1):105-110(Zhang Shuangcheng,Tu Rui,Zhang Qin,et al.The Establishment of Ionospheric Second-Order Model and the Analysis of Ionospheric Variation[J].Acta Geodatica et Cartographica Sinica,2011,40(S1):105-110)
[5] Wang Z M,Wu Y,Zhang K F,et al.Triple-Frequency Method for High-Order Ionospheric Refractive Error Modelling in GPS Modernization[J].Journal of Global Positioning Systems,2005,4(1-2):291-295
[6] Hoque M M,Jakowski N.Higher Order Ionospheric Effects in Precise GNSS Positioning[J].Journal of Geodesy,2007,81(4):259-268
[7] Pireaux S,Defraigne P,Wauters L,et al.Higher-Order Ionospheric Effects in GPS Time and Frequency Transfer[J].GPS Solutions,2010,14(3):267-277
[8] 邓连生,姜卫平,李昭,等.电离层高阶项改正对参考框架实现及测站坐标的影响分析[J].武汉大学学报:信息科学版,2015,40(2):193-198(Deng Liansheng,Jiang Weiping,Li Zhao,et al.Analysis of Higher-Order Ionospheric Effects on Reference Frame Realization and Coordinate Variations[J].Geomatics and Information Science of Wuhan University,2015,40(2):193-198)
[9] 朱春春,李征航,屈小川,等.高阶电离层延迟对GPS双差观测值和基线向量的影响[J].大地测量与地球动力学,2015,35(1):81-86(Zhu Chunchun,Li Zhenghang,Qu Xiaochuan,et al.Higher-Order Ionospheric Effects on the GPS Double Difference Observation and Baseline Vectors[J].Journal of Geodesy and Geodynamics,2015,35(1):81-86)
[10] 姜卫平,李昭,邓连生,等.高阶电离层延迟对GPS坐标时间序列的影响分析[J].科学通报,2014,59(10):913-923(Jiang Weiping,Li Zhao,Deng Liansheng,et al.Impact of Higher Order Ionospheric Delay on Continuous GPS Coordinate Time Series[J].Chinese Science Bulletin,2014,59(10):913-92)
[11] Petrie E J,Hernández-Pajares M,Spalla P,et al.A Review of Higher Order Ionospheric Refraction Effects on Dual Frequency GPS[J].Surveys in Geophysics,2011,32(3):197-253
[12] Alizadeh M M,Wijaya D D,Hobiger T,et al.Ionospheric Effects on Microwave Signals[A]//B?hm J,Schuh H.Atmospheric Effects in Space Geodesy[M].Berlin Heidelberg:Springer,2013
[13] Elsobeiey M,El-Rabbany A.On Modelling of Second-Order Ionospheric Delay for GPS Precise Point Positioning[J].The Journal of Navigation,2012,65(1):59-72
[14] Hernandez‐Pajares M,Juan J M,Sanz J,et al.Second-Order Ionospheric Term in GPS:Implementation and Impact on Geodetic Estimates[J].Journal of Geophysical Research:Solid Earth,2007,112(B8)
[15] Hoque M M,Jakowski N.Higher Order Ionospheric Propagation Effects on GPS Radio Occultation Signals[J].Advances in Space Research,2010,46(2):162-173
[16] 刘西凤,袁运斌.我国中低纬地区GPS定位中的电离层二阶项延迟影响分析与研究[J].中国科学:物理学力学天文学,2010,40(5):658-662(Liu Xifeng,Yuan Yunbin.Preliminary Analysis on the Effect of Second-Order Ionospheric Delay on GPS Positioning Solution over the Mid-Low Latitude Regions in China[J].Scientia Sinica:Physica,Mechanica & Astronomica,2010,40(5):658-662)
[17] Elmas Z G,Aquino M,Marques H A,et al.Higher Order Ionospheric Effects in GNSS Positioning in the European Region[J].Annales Geophysicae,2011 ,29(8) :1 383-1 399
[18] Bassiri S,Hajj G A.Higher-Order Ionospheric Effects on the Global Positioning System Observables and Means of Modeling Them[J].Manuscripta Geodaetica,1993,18(5):280-280
[19] Fritsche M,Dietrich R,Kn?fel C,et al.Impact of Higher-Order Ionospheric Terms on GPS Estimates[J].Geophysical Research Letters,2005,32(23)
[20] 张小红,任晓东,郭斐.顾及电离层延迟高阶项改正的精密单点定位[J].武汉大学学报:信息科学版,2013(8):883-887(Zhang Xiaohong,Ren Xiaodong,Guo Fei.Influence of Higher-Order Ionospheric Delay Correction on Static Precise Point Positioning[J].Geomatics and Information Science of Wuhan University,2013(8):883-887)
[21] Marques H A,Monico J F G,Aquino M.RINEX_HO:Second-and Third-Order Ionospheric Corrections for RINEX Observation Files[J].GPS Solutions,2011,15(3):305-314
[22] Dach R,Lutz S,Walser P,et al.Bernese GNSS Software Version 5.2[Z].2015
[2] 王虎.GPS精密单点定位中电离层延迟改正模型的研究与分析[D].长沙:中南大学,2008(Wang Hu.Research on the Model of Ionospheric Delay Correction in GPS Precise Point Positioning[D].Changsha:Central South University,2008)
[3] 匡翠林,金蕾.精密单点定位的高阶电离层误差改正研究[J].武汉大学学报:信息科学版,2013,38(8):888-891(Kuang Cuilin,Jin Lei.Higher-Order Ionospheric Error Correction for Precise Point Positioning[J].Geomatics and Information Science of Wuhan University,2013,38(8):888-891)
[4] 张双成,涂锐,张勤,等.电离层二阶项模型的构建及其变化规律分析研究[J].测绘学报,2011,40(增1):105-110(Zhang Shuangcheng,Tu Rui,Zhang Qin,et al.The Establishment of Ionospheric Second-Order Model and the Analysis of Ionospheric Variation[J].Acta Geodatica et Cartographica Sinica,2011,40(S1):105-110)
[5] Wang Z M,Wu Y,Zhang K F,et al.Triple-Frequency Method for High-Order Ionospheric Refractive Error Modelling in GPS Modernization[J].Journal of Global Positioning Systems,2005,4(1-2):291-295
[6] Hoque M M,Jakowski N.Higher Order Ionospheric Effects in Precise GNSS Positioning[J].Journal of Geodesy,2007,81(4):259-268
[7] Pireaux S,Defraigne P,Wauters L,et al.Higher-Order Ionospheric Effects in GPS Time and Frequency Transfer[J].GPS Solutions,2010,14(3):267-277
[8] 邓连生,姜卫平,李昭,等.电离层高阶项改正对参考框架实现及测站坐标的影响分析[J].武汉大学学报:信息科学版,2015,40(2):193-198(Deng Liansheng,Jiang Weiping,Li Zhao,et al.Analysis of Higher-Order Ionospheric Effects on Reference Frame Realization and Coordinate Variations[J].Geomatics and Information Science of Wuhan University,2015,40(2):193-198)
[9] 朱春春,李征航,屈小川,等.高阶电离层延迟对GPS双差观测值和基线向量的影响[J].大地测量与地球动力学,2015,35(1):81-86(Zhu Chunchun,Li Zhenghang,Qu Xiaochuan,et al.Higher-Order Ionospheric Effects on the GPS Double Difference Observation and Baseline Vectors[J].Journal of Geodesy and Geodynamics,2015,35(1):81-86)
[10] 姜卫平,李昭,邓连生,等.高阶电离层延迟对GPS坐标时间序列的影响分析[J].科学通报,2014,59(10):913-923(Jiang Weiping,Li Zhao,Deng Liansheng,et al.Impact of Higher Order Ionospheric Delay on Continuous GPS Coordinate Time Series[J].Chinese Science Bulletin,2014,59(10):913-92)
[11] Petrie E J,Hernández-Pajares M,Spalla P,et al.A Review of Higher Order Ionospheric Refraction Effects on Dual Frequency GPS[J].Surveys in Geophysics,2011,32(3):197-253
[12] Alizadeh M M,Wijaya D D,Hobiger T,et al.Ionospheric Effects on Microwave Signals[A]//B?hm J,Schuh H.Atmospheric Effects in Space Geodesy[M].Berlin Heidelberg:Springer,2013
[13] Elsobeiey M,El-Rabbany A.On Modelling of Second-Order Ionospheric Delay for GPS Precise Point Positioning[J].The Journal of Navigation,2012,65(1):59-72
[14] Hernandez‐Pajares M,Juan J M,Sanz J,et al.Second-Order Ionospheric Term in GPS:Implementation and Impact on Geodetic Estimates[J].Journal of Geophysical Research:Solid Earth,2007,112(B8)
[15] Hoque M M,Jakowski N.Higher Order Ionospheric Propagation Effects on GPS Radio Occultation Signals[J].Advances in Space Research,2010,46(2):162-173
[16] 刘西凤,袁运斌.我国中低纬地区GPS定位中的电离层二阶项延迟影响分析与研究[J].中国科学:物理学力学天文学,2010,40(5):658-662(Liu Xifeng,Yuan Yunbin.Preliminary Analysis on the Effect of Second-Order Ionospheric Delay on GPS Positioning Solution over the Mid-Low Latitude Regions in China[J].Scientia Sinica:Physica,Mechanica & Astronomica,2010,40(5):658-662)
[17] Elmas Z G,Aquino M,Marques H A,et al.Higher Order Ionospheric Effects in GNSS Positioning in the European Region[J].Annales Geophysicae,2011 ,29(8) :1 383-1 399
[18] Bassiri S,Hajj G A.Higher-Order Ionospheric Effects on the Global Positioning System Observables and Means of Modeling Them[J].Manuscripta Geodaetica,1993,18(5):280-280
[19] Fritsche M,Dietrich R,Kn?fel C,et al.Impact of Higher-Order Ionospheric Terms on GPS Estimates[J].Geophysical Research Letters,2005,32(23)
[20] 张小红,任晓东,郭斐.顾及电离层延迟高阶项改正的精密单点定位[J].武汉大学学报:信息科学版,2013(8):883-887(Zhang Xiaohong,Ren Xiaodong,Guo Fei.Influence of Higher-Order Ionospheric Delay Correction on Static Precise Point Positioning[J].Geomatics and Information Science of Wuhan University,2013(8):883-887)
[21] Marques H A,Monico J F G,Aquino M.RINEX_HO:Second-and Third-Order Ionospheric Corrections for RINEX Observation Files[J].GPS Solutions,2011,15(3):305-314
[22] Dach R,Lutz S,Walser P,et al.Bernese GNSS Software Version 5.2[Z].2015