大地测量学与导航

附加原子钟物理模型的PPP时间传递算法

  • 于合理 ,
  • 郝金明 ,
  • 刘伟平 ,
  • 田英国 ,
  • 邓科
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  • 1. 信息工程大学导航与空天目标工程学院, 河南 郑州 450001;
    2. 北斗导航应用技术河南省协同创新中心, 河南 郑州 450001
于合理(1989-),男,博士生,研究方向为GNSS时频传递方法。E-mail:yuhl1989@163.com

收稿日期: 2016-05-05

  修回日期: 2016-09-05

  网络出版日期: 2016-12-03

基金资助

中国第二代卫星导航系统重大专项(GFZX0301040308);地理信息工程国家重点实验室开放研究基金(SKLGIE2015-M-1-6)

A Time Transfer Algorithm of Precise Point Positioning with Additional Atomic Clock Physical Model

  • YU Heli ,
  • HAO Jinming ,
  • LIU Weiping ,
  • TIAN Yingguo ,
  • DENG Ke
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  • 1. School of Navigation and Aerospace Engineering, Information Engineering University, Zhengzhou 450001, China;
    2. BeiDou Navigation Technology Collaborative Innovation Center of Henan, Zhengzhou 450001, China

Received date: 2016-05-05

  Revised date: 2016-09-05

  Online published: 2016-12-03

Supported by

Specific Project of Chinese Second-generation Satellite Navigation System (No. GFZX0301040308); The Open Research Foundation of State Key Laboratory of Geo-information Engineering (No. SKLGIE2015-M-1-6)

摘要

传统精密单点定位(PPP)时间传递算法通常把接收机钟差当作相互独立的白噪声逐历元进行估计,而忽略了钟差参数历元间的相关性。针对这一问题,本文提出了一种附加原子钟物理模型的PPP时间传递算法。该算法通过利用Kalman滤波对高稳定度的原子钟钟差进行建模,拓展传统PPP时间传递模型中的接收机钟差参数,并给出了Kalman滤波过程噪声协方差和初始状态向量的确定方法。试验结果表明:该算法可以有效避免传统算法时间传递结果需要一定收敛时间的问题,使解算结果更加符合原子钟的物理特性,能够显著提高时间传递结果的精度和稳定性,可将单站时间传递精度平均提高58%,站间时间传递精度平均提高51%。

本文引用格式

于合理 , 郝金明 , 刘伟平 , 田英国 , 邓科 . 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

Abstract

In the traditional time transfer algorithms of precise point positioning, the receiver clock offset is estimated epoch by epoch as independent white noise and the short-term correlation between the epoch of the atomic clock offset is ignored. In order to solve this problem, a time transfer algorithm of precise point positioning with additional atomic clock physical model is proposed. The receiver clock parameters are expanded in the traditional model of precise point positioning by using Kalman filter to model the clock errors of high stability atomic clock, and the method of determining the covariance matrices of process noise and the initial state vector of the Kalman filter is presented. Experimental results show that the proposed algorithm can effectively avoid the convergence process of the traditional precise point positioning algorithm, and the result of the algorithm is more consistent with the physical properties of the atomic clock, this algorithm can significantly improve the accuracy and stability of the time transfer results, the accuracy of time transfer results of single station can be increased on average by 58%, and the accuracy of time synchronization between stations can be improved on average by 51%.

参考文献

[1] 李红涛. 基于GPS和GLONASS的单站授时和时差监测研究[D]. 西安: 长安大学, 2012. LI Hongtao. Research on the Single Station Time Service and Time Offset Based on the GPS and GLONASS Data[D]. Xi'an: Chang'an University, 2012.
[2] DEFRAIGNE P, AERTS W, HARMEGNIES A, et al. Advances in Multi-GNSS Time Transfer[C]//2013 Joint European Frequency and Time Forum & International Frequency Control Symposium (EFTF/IFC). Prague, Czech Republic: IEEE, 2013: 508-512.
[3] DEFRAIGNE P, AERTS W, POTTIAUX E. Monitoring of UTC(k)'s Using PPP and IGS Real-time Products[J]. GPS Solutions, 2015, 19(1): 165-172.
[4] 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.
[5] 黄观文. GNSS星载原子钟质量评价及精密钟差算法研究[D]. 西安: 长安大学, 2012. HUANG Guanwen. Research on Algorithms of Precise Clock Offset and Quality Evaluation of GNSS Satellite Clock[D]. Xi'an: Chang'an University, 2012.
[6] 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.
[7] 张宝成, 欧吉坤, 袁运斌, 等. 基于GPS双频原始观测值的精密单点定位算法及应用[J]. 测绘学报, 2010, 39(5): 478-483. ZHANG Baocheng, OU Jikun, YUAN Yunbin, et al. Precise Point Positioning Algorithm Based on Original Dual-frequency GPS Code and Carrier-phase Observations and Its Application[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(5): 478-483.
[8] 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. DOI: 10.11947/j.AGCS.2015.20140287. 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. DOI: 10.11947/j.AGCS.2015.20140287.
[9] WANG Kan, ROTHACHER M. Stochastic Modeling of High-stability Ground Clocks in GPS Analysis[J]. Journal of Geodesy, 2013, 87(5): 427-437.
[10] LICHTEN S M, BORDER J S. Strategies for High-precision Global Positioning System Orbit Determination[J]. Journal of Geophysical Research: Solid Earth, 1987, 92(B12): 12751-12762.
[11] JONES R H, TRYON P V. Continuous Time Series Models for Unequally Spaced Data Applied to Modeling Atomic Clocks[J]. SIAM Journal on Scientific and Statistical Computing, 1987, 8(1): 71-81.
[12] 林旭, 罗志才. 一种新的卫星钟差Kalman滤波噪声协方差估计方法[J]. 物理学报, 2015, 64(8): 080201. LIN Xu, LUO Zhicai. A New Noise Covariance Matrix Estimation Method of Kalman Filter for Satellite Clock Errors[J]. Acta Physica Sinica, 2015, 64(8): 080201.
[13] 郭海荣, 杨元喜, 何海波, 等. 导航卫星原子钟Kalman滤波中噪声方差-协方差的确定[J]. 测绘学报, 2010, 39(2): 146-150. GUO Hairong, YANG Yuanxi, HE Haibo, et al. Determination of Covariance Matrix of Kalman Filter Used for Time Prediction of Atomic Clocks of Navigation Satellites[J]. Acta Geodaetica et Cartographica Sinica, 2010, 39(2): 146-150.
[14] SU W, FILLER R L. Application of Kalman Filtering Techniques to the Precision Clock with Non-constant Aging[C]//Proceedings of the 46th Frequency Control Symposium. Hershey, PA: IEEE, 1992: 231-237.
[15] STEIN S R, FILLER R L. Kalman Filter Analysis for Real Time Applications of Clocks and Oscillators[C]//Proceedings of the 42nd Annual Frequency Control Symposium. Baltimore, MD: IEEE, 1988: 447-452.
[16] 张清华, 隋立芬, 贾小林. 应用Jones-Tryon Kalman滤波器对在轨GPS Rb钟进行状态监测[J]. 武汉大学学报(信息科学版), 2012, 37(4): 436-440. ZHANG Qinghua, SUI Lifen, JIA Xiaolin. Monitor State of GPS Rb Clock Using Jones-Tryon Kalman Filter[J]. Geomatics and Information Science of Wuhan University, 2012, 37(4): 436-440.
[17] 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.
[18] WEINBACH U, SCHÖN S. Improved GRACE Kinematic Orbit Determination Using GPS Receiver Clock Modeling[J]. GPS Solutions, 2013, 17(4): 511-520.
[19] WEINBACH U, SCHON S. Improved GPS Receiver Clock Modeling for Kinematic Orbit Determination of the GRACE Satellites[C]//Proceedings of European Frequency and Time Forum. Gothenburg, Sweden: IEEE, 2012: 157-160.
[20] 肖国锐, 隋立芬, 陈泉余, 等. 利用接收机钟差建模提升PPP收敛速度及精度[J]. 测绘科学技术学报, 2015, 32(6): 555-558, 564. XIAO Guorui, SUI Lifen, CHEN Quanyu, et al. Improving PPP Convergence and Accuracy Using Receiver Clock Modeling[J]. Journal of Geomatics Science and Technology, 2015, 32(6): 555-558, 564
[21] 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.
[22] FILHO E A M, KUGA H K, LOPES R V F. Real Time Estimation of GPS Receiver Clock Offset by the Kalman Filter[J]. Personal Communication, 2003.
[23] 于合理, 郝金明, 刘伟平, 等. 一种卫星钟差异常实时监测算法[J]. 武汉大学学报(信息科学版), 2016, 41(1): 106-110. YU Heli, HAO Jinming, LIU Weiping, et al. A Real-time Anomaly Monitoring Algorithm for Satellite Clock[J]. Geomatics and Information Science of Wuhan University, 2016, 41(1): 106-110.
[24] RILEY W J. Handbook of Frequency Stability Analysis[R]. NIST Special Publication 1065, 2007: 1-123.
[25] MANNING D M. AF/NGA GPS Monitor Station High-performance Cesium Frequency Standard Stability 2005/2006: from NGA Kalman Filter Clock Estimates[C]//Proceedings of the 38th Annual Precise Time and Time Interval Systems and Applications Meeting. Reston, Virginia:[s.n.], 2006: 137-152.
[26] CLKLOG. A Summary File of the Deployment History for GPS Receiver, Antenna, Frequency Standards, and Other Equipment at IGS Stations[EB/OL]. (2010-01-20)[2016-06-02]. ftp://igscb.jpl.nasa.gov/igscb/station/general/loghist.txt.
[27] 于合理, 郝金明, 谢建涛, 等. 硬件延迟偏差对卫星钟差解算的影响[J]. 导航定位学报, 2015, 3(1): 71-73. YU Heli, HAO Jinming, XIE Jiantao, et al. Impact of DCB on the Estimate of Satellite Clock Bias[J]. Journal of Navigation and Positioning, 2015, 3(1): 71-73.
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