The Long-term Performance Analysis for On-board Atomic Clocks of BDS

doi:10.11947/j.AGCS.2017.20160369

Abstract

Abstract: BeiDou Navigation Satellite System (BDS) has begun to provide regional services since the end of 2012. It plays an important role in analyzing the long-term performance of BDS satellite clocks in evaluating the performance of the whole system, determining and predicting satellite clock bias (SCB) etc. Precise satellite clock data products derived from multi-satellite orbit determination are used to conduct the performance analysis of BDS satellite clocks. Specifically, the characteristics of SCB data are discussed by using a proposed modified median absolute deviation (MAD) to preprocess original SCB data. Long-term variations of satellite clocks' phase, frequency, frequency drift and model noise level are analyzed based on the quadratic polynomial SCB model. Frequency stability of BDS satellite clocks is calculated and discussed based on Overlapping Hadamard Variance. Periodicity of BDS SCB is analyzed by using spectral analysis method. Integrating the above mentioned discussions and corresponding experiment results, the long-term performance of BDS satellite clocks is relatively comprehensively evaluated and analyzed. In addition, some valuable conclusions are obtained. For example, in the aspects of noise characteristics and clock drift, the performance of MEO satellite clocks is the best, followed by the IGSO satellite clocks, and the GEO satellite clocks' performance is the worst. The average values of noise level and frequency drift of BDS satellite clocks are respectively 0.677 ns and 1.922×10^-18. There are also obvious periodic terms in BDS SCB data derived from multi-satellite orbit determination and their primary periods are approximate equal or one-half to the corresponding satellite orbit periods. The average value of frequency stability of BDS satellite clocks is 1.484×10^-13.

Key words: BDS satellite clocks, MGEX clock products, clock model, frequency stability, periodic characteristic

CLC Number:

P228

WANG Yupu, LÜ Zhiping, WANG Ning. The Long-term Performance Analysis for On-board Atomic Clocks of BDS[J]. Acta Geodaetica et Cartographica Sinica, 2017, 46(2): 157-169.

References

[1] 郭海荣. 导航卫星原子钟时频特性分析理论与方法研究[D]. 郑州:信息工程大学, 2006. GUO Hairong. Study on the Analysis Theories and Algorithms of the Time and Frequency Characterization for Atomic Clocks of Navigation Satellites[D]. Zhengzhou:Information Engineering University, 2006.
[2] 贾小林, 冯来平, 毛悦, 等. GPS星载原子钟性能评估[J]. 时间频率学报, 2010, 33(2):115-120. JIA Xiaolin, FENG Laiping, MAO Yue, et al. Performance Evaluation of GPS On-board Clock[J]. Journal of Time and Frequency, 2010, 33(2):115-120.
[3] 唐升, 刘娅, 李孝辉. 星载原子钟自主完好性监测方法研究[J]. 宇航学报, 2013, 34(1):39-45. TANG Sheng, LIU Ya, LI Xiaohui. A Study on Onboard Satellite Atomic Clock Autonomous Integrity Monitoring[J]. Journal of Astronautics, 2013, 34(1):39-45.
[4] 李作虎. 卫星导航系统性能监测及评估方法研究[D]. 郑州:信息工程大学, 2012. LI Zuohu. Research on Monitoring and Assessment of Satellite Navigation System Performance[D]. Zhengzhou:Information Engineering University, 2012.
[5] GE Maorong, CHEN Junping, DOUŠA J, et al. A Computationally Efficient Approach for Estimating High-rate Satellite Clock Corrections in Realtime[J]. GPS Solutions, 2012, 16(1):9-17.
[6] 唐桂芬, 许雪晴, 曹纪东, 等. 基于通用钟差模型的北斗卫星钟预报精度分析[J]. 中国科学:物理学力学天文学, 2015, 45(7):079502. TANG Guifen,XU Xueqing,CAO Jidong, et al. Precision Analysis for Compass Satellite Clock Prediction Based on a Universal Clock Offset Model[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2015, 45(7):079502.
[7] 王宇谱, 吕志平, 王宁, 等. 顾及卫星钟随机特性的抗差最小二乘配置钟差预报算法[J]. 测绘学报, 2016, 45(6):646-655. DOI:10.11947/j.AGCS.2016.20150569. WANG Yupu,LV Zhiping,WANG Ning, et al. Prediction of Navigation Satellite Clock Bias Considering Clock's Stochastic Variation Behavior with Robust Least Square Collocation[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(6):646-655. DOI:10.11947/j.AGCS.2016.20150569.
[8] 毛悦, 陈建鹏, 戴伟, 等. 星载原子钟稳定性影响分析[J]. 武汉大学学报(信息科学版), 2011, 36(10):1182-1186. MAO Yue, CHEN Jianpeng, DAI Wei, et al. Analysis of On-board Atomic Clock Stability Influences[J]. Geomatics and Information Science of Wuhan University, 2011, 36(10):1182-1186.
[9] GRIGGS E,KURSINSKI E R, AKOS D. An Investigation of GNSS Atomic Clock Behavior at Short Time Intervals[J]. GPS Solutions, 2014, 18(3):443-452.
[10] UHLEMANN M, GENDT G, RAMATSCHI M, et al. GFZ Global Multi-GNSS Network and Data Processing Results[M]//RIZOS C, WILLIS P. IAG 150 Years:International Association of Geodesy Symposia. Switzerland:Springer, 2016.
[11] STEIGENBERGER P, HUGENTOBLER U, LOYER S, et al. Galileo Orbit and Clock Quality of the IGS Multi-GNSS Experiment[J]. Advances in Space Research, 2015, 55(1):269-281.
[12] HUANG G, ZHANG Q, LI H, et al. Quality Variation of GPS Satellite Clocks On-orbit Using IGS Clock Products[J]. Advances in Space Research, 2013, 51(6):978-987.
[13] SENIOR K L, RAY J R, BEARD R L. Characterization of Periodic Variations in the GPS Satellite Clocks[J]. GPS Solutions, 2008, 12(3):211-225.
[14] HAUSCHILD A,MONTENBRUCK O,STEIGENBERGER P. Short-term Analysis of GNSS Clocks[J]. GPS Solutions, 2013, 17(3):295-307.
[15] MONTENBRUCK O, HUGENTOBLER U, DACH R, et al. Apparent Clock Variations of the Block IIF-1(SVN62) GPS Satellite[J]. GPS Solutions, 2012, 16(3):303-313.
[16] STEIGENBERGER P,HUGENTOBLER U,HAUSCHILD A, et al. Orbit and Clock Analysis of Compass GEO and IGSO Satellites[J]. Journal of Geodesy, 2013, 87(6):515-525.
[17] 罗璠, 李建文, 黄海, 等. 北斗卫星钟稳定性分析及噪声识别[J]. 测绘科学技术学报, 2014, 31(1):34-37. LUO Fan, LI Jianwen, HUANG Hai, et al. Frequency Stability Analysis and Noise Identification of BD Satellite Clock[J]. Journal of Geomatics Science and Technology, 2014, 31(1):34-37.
[18] 周佩元, 杜兰, 路余, 等. 多星定轨条件下北斗卫星钟差的周期性变化[J]. 测绘学报, 2015, 44(12):1299-1306. DOI:10.11947/j.AGCS.2015.20150183. ZHOU Peiyuan, DU Lan, LU Yu, et al. Periodic Variations of BeiDou Satellite Clock Offsets Derived from Multi-satellite Orbit Determination[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(12):1299-1306. DOI:10.11947/j.AGCS.2015.20150183.
[19] 余航. BDS/Galileo星载原子钟性能及短期预报算法研究[D]. 西安:长安大学, 2015. YU Hang. Research on Prediction and Characteristics of BDS/Galileo Onboard Satellite Atomic Clock[D]. Xi'an:Chang'an University, 2015.
[20] CHEN Maolin, ZHAN Xingqun, DU Gang, et al. Compass/BeiDou-2 Spaceborne Clock Performance Assessment and its Error Detection, Mitigation[J]. IEEE Transactions on Electrical and Electronic Engineering, 2015, 10(4):438-446.
[21] 高为广, 蔺玉亭, 陈谷仓, 等. 北斗系统在轨卫星钟性能评估方法及结论[J]. 测绘科学技术学报, 2014, 31(4):342-346. GAO Weiguang, LIN Yuting, CHEN Gucang, et al. The Performances Assessment Methods and Results of In-Orbit Atomic Clocks of BDS[J]. Journal of Geomatics Science and Technology, 2014, 31(4):342-346.
[22] 张清华, 王源, 孙阳阳, 等. BDS与GPS/GLONASS星载原子钟性能的比较分析[J]. 海洋测绘, 2015, 35(2):62-64, 68. ZHANG Qinghua, WANG Yuan, SUN Yangyang, et al. Performance Analysis of Atomic Clocks on Board BDS/GPS/GLONASS Satellites[J]. Hydrographic Surveying and Charting, 2015, 35(2):62-64, 68.
[23] RILEY W. Handbook of Frequency Stability Analysis[M]. Boulder, CO:NIST Special Publication, 2008.
[24] 黄观文, 张勤, 许国昌, 等. 基于频谱分析的IGS精密星历卫星钟差精度分析研究[J]. 武汉大学学报(信息科学版), 2008, 33(5):496-499. HUANG Guanwen, ZHANG Qin, XU Guochang, et al. IGS Precise Satellite Clock Model Fitting and Its Precision by Using Spectral Analysis Method[J]. Geomatics and Information Science of Wuhan University, 2008, 33(5):496-499.
[25] ZHAO Qile, GUO Jing, LI Min, et al. Initial Results of Precise Orbit and Clock Determination for COMPASS Navigation Satellite System[J]. Journal of Geodesy, 2013, 87(5):475-486.
[26] SHI Xin, LIU Li, YAO Gang, et al. Comprehensive Satellite Clock Performance Evaluation Results Analysis with Multi-data[M]//SUN Jiadong, LIU Jingnan, FAN Shiwei,et al.China Satellite Navigation Conference (CSNC) 2016 Proceedings:Volume Ⅲ. Singapore:Springer, 2016:121-129.