Global precision analysis of carrier phase relative positioning in BeiDou navigation satellite system and United States global positioning system
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摘要
In this paper, we derived a high-efficiency formula for calculating the precision of carrier phase relative positioning,analyzed the various factors that affect the positioning accuracy using the carrier phase, and proposed the concept of using a frequency dilution of precision to describe the quantitative effect of different frequency combinations on the positioning precision. To this end, we computed and plotted the global spatial distribution map of the relative positioning dilution of precision for single-day solution, half-hour solution, and single-epoch solution of the global positioning system(GPS), regional Beidou navigation satellite system(BDS2), future global Beidou navigation satellite system(BDS3), and their fusion systems.Using processing software with autonomous intellectual property rights(GCN and VENUS/ARSNet), we solved the measurement data and examined the positioning precision of the single-day solution and single-epoch solution of GPS and BDS2.The analysis demonstrated that the B1/B2 frequency positioning precision of BDS2 was better than that of L1/L2 frequency positioning of GPS, but the positioning precision of the BDS2 is worse than that of GPS over most of the service region of the BDS2. Further, the positioning precision of BDS3 is better than that of GPS in the Asia-Pacific region, while it is the opposite in other regions. Based on these conclusions, we put forth some optimization recommendations regarding the signal frequency of the navigation system and GPS measurement standards to serve as references for optimizing the system performance and formulating standards.
In this paper, we derived a high-efficiency formula for calculating the precision of carrier phase relative positioning,analyzed the various factors that affect the positioning accuracy using the carrier phase, and proposed the concept of using a frequency dilution of precision to describe the quantitative effect of different frequency combinations on the positioning precision. To this end, we computed and plotted the global spatial distribution map of the relative positioning dilution of precision for single-day solution, half-hour solution, and single-epoch solution of the global positioning system(GPS), regional Beidou navigation satellite system(BDS2), future global Beidou navigation satellite system(BDS3), and their fusion systems.Using processing software with autonomous intellectual property rights(GCN and VENUS/ARSNet), we solved the measurement data and examined the positioning precision of the single-day solution and single-epoch solution of GPS and BDS2.The analysis demonstrated that the B1/B2 frequency positioning precision of BDS2 was better than that of L1/L2 frequency positioning of GPS, but the positioning precision of the BDS2 is worse than that of GPS over most of the service region of the BDS2. Further, the positioning precision of BDS3 is better than that of GPS in the Asia-Pacific region, while it is the opposite in other regions. Based on these conclusions, we put forth some optimization recommendations regarding the signal frequency of the navigation system and GPS measurement standards to serve as references for optimizing the system performance and formulating standards.
In this paper, we derived a high-efficiency formula for calculating the precision of carrier phase relative positioning,analyzed the various factors that affect the positioning accuracy using the carrier phase, and proposed the concept of using a frequency dilution of precision to describe the quantitative effect of different frequency combinations on the positioning precision. To this end, we computed and plotted the global spatial distribution map of the relative positioning dilution of precision for single-day solution, half-hour solution, and single-epoch solution of the global positioning system(GPS), regional Beidou navigation satellite system(BDS2), future global Beidou navigation satellite system(BDS3), and their fusion systems.Using processing software with autonomous intellectual property rights(GCN and VENUS/ARSNet), we solved the measurement data and examined the positioning precision of the single-day solution and single-epoch solution of GPS and BDS2.The analysis demonstrated that the B1/B2 frequency positioning precision of BDS2 was better than that of L1/L2 frequency positioning of GPS, but the positioning precision of the BDS2 is worse than that of GPS over most of the service region of the BDS2. Further, the positioning precision of BDS3 is better than that of GPS in the Asia-Pacific region, while it is the opposite in other regions. Based on these conclusions, we put forth some optimization recommendations regarding the signal frequency of the navigation system and GPS measurement standards to serve as references for optimizing the system performance and formulating standards.
引文
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Yang Y,Li J,Xu J,Tang J.2011b.Generalised DOPs with consideration of the influence function of signal-in-space errors.J Navigation,64:S3-S18
Yang Y X,Li J L,Wang A B,Xu J Y,He H B,Guo H R,Shen J F,Dai X.2014.Preliminary assessment of the navigation and positioning performance of BeiDou regional navigation satellite system.Sci China Earth Sci,57:144-152
Yang Y,Xu Y,Li J,Yang C.2018.Progress and performance evaluation of BeiDou global navigation satellite system:Data analysis based on BDS-3 demonstration system.Sci China Earth Sci,61:614-624
Yuan L G,Huang D F,Ding X L,Xiong Y L,Zhong P,Li C G.2004.Effects of signal multipath effect in GPS carrier phase measurement(in Chinese).J Survey Map,(3):210-215
Zhou J W.1979.Error Theory(in Chinese).Beijing:Surveying and Mapping Press
Boehm J,Niell A,Tregoning P,Schuh H.2006.Global mapping function(GMF):A new empirical mapping function based on numerical weather model data.Geophys Res Lett,33:l07304
China Satellite Navigation System Management Office.2016.Beidou navigation satellites launch record(in Chinese).http://www.beidou.gov.cn/xtjs.html
China satellite Navigation System Management Office.2013.Beidou navigation satellite system open service performance standard(Version1.0)(in Chinese)
China Satellite Navigation System Management Office.2017.Control document of space signal interface of beidou satellite navigation system open service signal B1C and B2a(Test Version)(in Chinese)
Davis J L,Herring T A,Shapiro I I,Rogers A E E,Elgered G.1985.Geodesy by radio interferometry:Effects of atmospheric modeling errors on estimates of baseline length.Radio Sci,20:1593-1607
Huang D F,Zhou L T,Li C G,Xiong Y L.2009.Enhanced reference station network RTK algorithm model and experimental research(in Chinese).J Wuhan Univ-J Inform Sci,34:1344-1348
Kleusberg A,Teunissen P J G.1998.GPS for Geodesy.Heidelberg:Springer-Verlag
Shi C,Zhao Q L,Li M,Tang W M,Hu Z G,Lou Y D,Zhang H P,Niu X J,Liu J N.2012.Precise orbit determination of Beidou Satellites with precise positioning.Sci China Earth Sci,55:1079-1086
Tan S S.2016.New development of the world satellite navigation signal-Sspectrum signal application prospect(in Chinese).Changsha:7th China Satellite Navigation Academic Annual Conference
Xu G C,Qian Z H.1986.Application of the reduction method in the VLBIdata processing(in Chinese).Crustal Deform Earthq,(4):90-93
Yang Y X,Li J L,Xu J Y,Tang J,Guo H R,He H B.2011a.Contribution of the Compass satellite navigation system to global PNT users.Chin Sci Bull,56:2813-2819
Yang Y,Li J,Xu J,Tang J.2011b.Generalised DOPs with consideration of the influence function of signal-in-space errors.J Navigation,64:S3-S18
Yang Y X,Li J L,Wang A B,Xu J Y,He H B,Guo H R,Shen J F,Dai X.2014.Preliminary assessment of the navigation and positioning performance of BeiDou regional navigation satellite system.Sci China Earth Sci,57:144-152
Yang Y,Xu Y,Li J,Yang C.2018.Progress and performance evaluation of BeiDou global navigation satellite system:Data analysis based on BDS-3 demonstration system.Sci China Earth Sci,61:614-624
Yuan L G,Huang D F,Ding X L,Xiong Y L,Zhong P,Li C G.2004.Effects of signal multipath effect in GPS carrier phase measurement(in Chinese).J Survey Map,(3):210-215
Zhou J W.1979.Error Theory(in Chinese).Beijing:Surveying and Mapping Press