Time and frequency transfer based on modified integer phase clock method

doi:10.11947/j.AGCS.2019.20180248

Abstract

Abstract: The integer phase clock method is one of the most widely used integer ambiguity resolution method in precise point positioning (PPP). The stability of frequency transfer based on integer phase clock method is better than that of the conventional PPP. However, the clock offsets calculated by integer phase clock method contain the systematic biases, which affect the accuracy of time transfer. In this paper, we introduce the integer phase clock method, and analyze the origin of this systematic bias. Then based on single-difference ambiguity resolution method and atomic-clock refinement, a modified integer phase clock method is proposed. And some experiments are carried out to assess the modified integer phase clock method for ambiguity resolution and time-frequency transfer. The experiment results prove that the modified algorithm can eliminate the systematic bias effectively. The accuracy of time transfer can reach 0.1~0.2 ns, and the stability of frequency transfer can achieve 1.1×10^-15/d.

Key words: precise point positioning, integer phase clock method, integer ambiguity resolution, time and frequency transfer, atomic clock model

CLC Number:

P288

LÜ Daqian, ZENG Fangling, OUYANG Xiaofeng, YU Heli. Time and frequency transfer based on modified integer phase clock method[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(7): 889-897.

References

[1] RAY J, SENIOR K. IGS/BIPM pilot project:GPS carrier phase for time/frequency transfer and timescale formation[J]. Metrologia, 2003, 40(4):205.
[2] PETIT G, HARMEGNIES A, MERCIER F, et al. The time stability of PPP links for TAI[C]//Proceedings of 2011 Joint Conference of the IEEE International Frequency Control and the European Frequency and Time Forum. San Francisco, CA:IEEE, 2011.
[3] 陈宪冬. 基于大地型时频传递接收机的精密时间传递算法研究[J]. 武汉大学学报(信息科学版), 2008, 33(3):245-248. CHEN Xiandong. Precision time transfer methods based on geodetic time and frequency transfer receivers[J]. Geomatics and Information Science of Wuhan University, 2008, 33(3):245-248.
[4] 闫伟, 袁运斌, 欧吉坤, 等. 非组合精密单点定位算法精密授时的可行性研究[J]. 武汉大学学报(信息科学版), 2011, 36(6):648-651. YAN Wei, YUAN Yunbin, OU Jikun, et al. Feasibility of precise timing with uncombined PPP[J]. Geomatics and Information Science of Wuhan University, 2011, 36(6):648-651.
[5] 张小红, 蔡诗响, 李星星, 等. 利用GPS精密单点定位进行时间传递精度分析[J]. 武汉大学学报(信息科学版), 2010, 35(3):274-278. ZHANG Xiaohong, CAI Shixiang, LI Xingxing, et al. Accuracy analysis of time and frequency transfer based on precise point positioning[J]. Geomatics and Information Science of Wuhan University, 2010, 35(3):274-278.
[6] 于合理, 郝金明, 田英国, 等. GNSS单站授时系统性偏差分析[J]. 大地测量与地球动力学, 2017, 37(1):30-34. YU Heli, HAO Jinming, TIAN Yingguo, et al. Analysis of systematic bias of single station time service[J]. Journal of Geodesy and Geodynamics, 2017, 37(1):30-34.
[7] WANG Kan, ROTHACHER M. Stochastic modeling of high-stability ground clocks in GPS analysis[J]. Journal of Geodesy, 2013, 87(5):427-437.
[8] WEINBACH U, SCHÖN S. GNSS receiver clock modeling when using high-precision oscillators and its impact on PPP[J]. Advances in Space Research, 2011, 47(2):229-238.
[9] 张小红, 陈兴汉, 郭斐. 高性能原子钟钟差建模及其在精密单点定位中的应用[J]. 测绘学报, 2015, 44(4):392-398. ZHANG Xiaohong, CHEN Xinghan, GUO Fei. High-performance atomic clock modeling and its application in precise point positioning[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(4):392-398.
[10] 于合理, 郝金明, 刘伟平, 等. 附加原子钟物理模型的PPP时间传递算法[J]. 测绘学报, 2016, 45(11):1285-1292. DOI:10.11947/j.AGCS.2016.20160217. YU Heli, HAO Jinming, LIU Weiping, et al. A time transfer algorithm of precise point positioning with additional atomic clock physical model[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(11):1285-1292. DOI:10.11947/j.AGCS.2016.20160217.
[11] DELPORTE J, MERCIER F, LAURICHESSE D, et al. Fixing integer ambiguities for GPS carrier phase time transfer[C]//Proceedings of 2007 IEEE International Frequency Control Symposium Joint with the 21st European Frequency and Time Forum. Geneva, Switzerland:IEEE, 2007:927-932.
[12] PETIT G, KANJ A, LOYER S, et al. 1×10^-16 frequency transfer by GPS PPP with integer ambiguity resolution[J]. Metrologia, 2015, 52(2):301-309.
[13] KOUBA J, HÉROUX P. Precise point positioning using IGS orbit and clock products[J]. GPS Solutions, 2001, 5(2):12-28.
[14] LAURICHESSE D, MERCIER F, BERTHIAS J P, et al. Integer ambiguity resolution on undifferenced GPS phase measurements and its application to PPP and satellite precise orbit determination[J]. Navigation, 2009, 56(2):135-149.
[15] SHI Junbo, GAO Yang. A comparison of three PPP integer ambiguity resolution methods[J]. GPS Solutions, 2014, 18(4):519-528.
[16] MONTENBRUCK O, HACKEL S, JÄGGI A. Precise orbit determination of the Sentinel-3A altimetry satellite using ambiguity-fixed GPS carrier phase observations[J]. Journal of Geodesy, 2018, 92(7):711-726.
[17] 李彦杰, 杨元喜, 何海波. 附加约束条件对GNSS/INS组合导航结果的影响分析[J]. 武汉大学学报(信息科学版), 2017, 42(9):1249-1255. LI Yanjie, YANG Yuanxi, HE Haibo. Effects analysis of constraints on GNSS/INS integrated navigation[J]. Geomatics and Information Science of Wuhan University, 2017, 42(9):1249-1255.
[18] LI Tao, WANG Jinling, LAURICHESSE D. Modeling and quality control for reliable precise point positioning integer ambiguity resolution with GNSS modernization[J]. GPS Solutions, 2014, 18(3):429-442.
[19] 潘宗鹏, 柴洪洲, 刘军, 等. 基于部分整周模糊度固定的非差GPS精密单点定位方法[J]. 测绘学报, 2015, 44(11):1210-1218. PAN Zongpeng, CHAI Hongzhou, LIU Jun, et al. GPS partial ambiguity resolution method for zero-difference precise point positioning[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(11):1210-1218.
[20] 刘帅, 孙付平, 郝万亮, 等. 整数相位钟法精密单点定位模糊度固定模型及效果分析[J]. 测绘学报, 2014, 43(12):1230-1237. DOI:10.13485/j.cnki.11-2089.2014.0195. LIU Shuai, SUN Fuping, HAO Wanliang, et al. Modeling and effects analysis of PPP ambiguity fixing based on integer phase clock method[J]. Acta Geodaetica et Cartographica Sinica, 2014, 43(12):1230-1237. DOI:10.13485/j.cnki.11-2089.2014.0195.
[21] LOYER S, PEROSANZ F, MERCIER F, et al. Zero-difference GPS ambiguity resolution at CNES-CLS IGS analysis center[J]. Journal of Geodesy, 2012, 86(11):991-1003.
[22] PARKINS A. Increasing GNSS RTK availability with a new single-epoch batch partial ambiguity resolution algorithm[J]. GPS Solutions, 2011, 15(4):391-402.
[23] CHAN Fangcheng, JOERGER M, PERVAN B. Stochastic modeling of atomic receiver clock for high integrity GPS navigation[J]. IEEE Transactions on Aerospace and Electronic Systems, 2014, 50(3):1749-1764.
[24] YANG Yang, YUE Xiaokui, YUAN Jianping, et al. Enhancing the kinematic precise orbit determination of low earth orbiters using GPS receiver clock modelling[J]. Advances in Space Research, 2014, 54(9):1901-1912.
[25] AC Coordinator, NOAA NGS.[IGSREPORT-24139] Wk 1875 IGS final orbits[EB/OL].[2016-01-04]. https://lists.igs.org/pipermail/igsreport/2016-January/024158.html.