北斗实时百皮秒级单差时频同步方法

doi:10.11947/j.AGCS.2024.20230353

测绘学报 ›› 2024, Vol. 53 ›› Issue (5): 869-878.doi: 10.11947/j.AGCS.2024.20230353

北斗实时百皮秒级单差时频同步方法

施闯¹(), 宋伟²^,³, 郑福¹^,⁴(), 王浩源¹, 王玉琢⁵, 张爱敏⁵, 唐卫明⁶

^1.北京航空航天大学卫星导航与移动通信融合技术工业和信息化部重点实验室，北京　100083
^2.中国农业大学信息与电气工程学院，北京　100083
^3.农业农村部农机作业监测与大数据应用重点实验室，北京　100083
^4.北京航空航天大学前沿科学技术创新研究院，北京　100083
^5.中国计量科学研究院，北京　100029
^6.武汉大学卫星导航定位技术研究中心，湖北　武汉　430079

收稿日期:2023-09-03 修回日期:2024-05-14 发布日期:2024-06-19
通讯作者: 郑福 E-mail:shichuang@buaa.edu.cn;fzheng@buaa.edu.cn
作者简介:施闯（1968—），男，博士，教授，博士生导师，主要从事卫星定位导航授时理论与方法研究。E-mail：shichuang@buaa.edu.cn
基金资助:
国家自然科学基金(42227802);云南省科技项目(202102AE090051);国家重点研发计划(2023YFB3906501)

BDS real-time 100 picosecond level single difference time and frequency synchronization method

Chuang SHI¹(), Wei SONG²^,³, Fu ZHENG¹^,⁴(), Haoyuan WANG¹, Yuzhuo WANG⁵, Aimin ZHANG⁵, Weiming TANG⁶

^1.Laboratory of Navigation and Communication Fusion Technology, Ministry of Industry and Infomation Technology, Beihang University, Beijing 100083, China
^2.College of Information and Electrical Engineering, China Agricultural University, Beijing 100083, China
^3.Key Laboratory of Agricultural Machinery Monitoring and Big Data Application, Ministry of Agriculture and Rural Affairs, Beijing 100083, China
^4.Research Institute for Frontier Science, Beihang University, Beijing 100083, China
^5.National Institute of Metrology, Beijing 100029, China
^6.GNSS Research Center, Wuhan University, Wuhan 430079, China

Received:2023-09-03 Revised:2024-05-14 Published:2024-06-19
Contact: Fu ZHENG E-mail:shichuang@buaa.edu.cn;fzheng@buaa.edu.cn
About author:SHI Chuang (1968—), male, PhD, professor, PhD supervisor, majors in the theory and methods of satellite positioning, navigation and timing. E-mail: shichuang@buaa.edu.cn
Supported by:
The National Natural Science Foundation of China(42227802);The Science and Technology Program of Yunnan Province, China(202102AE090051);The National Key Research and Development Program of China(2023YFB3906501)

摘要/Abstract

摘要：

高精度时频传递与时间同步服务已成为全球导航卫星系统应用领域的研究热点，国内外学者围绕GNSS高精度时频同步模型算法及相关应用等方面开展了诸多研究。本文提出基于载波相位的差分高精度时间传递模型，实现基于北斗卫星导航系统的实时百皮秒级单差时频同步。以中国计量科学研究院的光纤链路为参考，北斗时间同步精度优于时频同步系统的实时秒脉冲时间同步精度优于100 ps；在7 d的测试时段内，链路的时间稳定度优于70 ps；链路频率万秒稳定度可达10^－15量级，频率长期稳定度可达10^－16量级。利用BDS进行单差时频同步的频率稳定度与GPS相当，对开展BDS在时频领域的下一步推广应用提供重要的参考意义。

关键词: BDS, 载波相位单差, 精密时频传递, 实时时间同步

Abstract:

High precise time-frequency transfer and time synchronization services have become a research focus in GNSS applications. Scholars have conducted numerous studies on time-frequency synchronization models, algorithms and related applications. We propose adifferential precise time transfer model based on carrier phase observations, and establish a BeiDou navigation satellite system real-time 100 picosecond level differential time and frequency synchronization system. With the time transfer results of the fiber optic links as reference, differential precise time and frequency synchronization performance is validated. the standard deviation of the BDS real-time pulse per second results is better than 100 ps. What's more, the time deviation of the time link within 7 days is better than 70 ps. In terms of frequency stability, modified Allan deviation of 10⁴ seconds can reach the level of 10^－15, and the long-term frequency stability reaches the level of 10^－16. Additionally, the frequency stability of BDS is comparable to that of GPS, which is of valuable significance for further expanding the application of BDS in the time and frequency community.

Key words: BDS, carrier phase single difference, precise time and frequency transfer, real-time time synchronization

中图分类号:

P228

施闯, 宋伟, 郑福, 王浩源, 王玉琢, 张爱敏, 唐卫明. 北斗实时百皮秒级单差时频同步方法[J]. 测绘学报, 2024, 53(5): 869-878.

Chuang SHI, Wei SONG, Fu ZHENG, Haoyuan WANG, Yuzhuo WANG, Aimin ZHANG, Weiming TANG. BDS real-time 100 picosecond level single difference time and frequency synchronization method[J]. Acta Geodaetica et Cartographica Sinica, 2024, 53(5): 869-878.

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参考文献 30

[1]	YANG Yuanxi, LIU Li, LI Jinlong, et al. Featured services and performance of BDS-3[J]. Science Bulletin, 2021, 66(20): 2135-2143.
[2]	YANG Yuanxi, MAO Yue, SUN Bijiao. Basic performance and future developments of BeiDou global navigation satellite system[J]. Satellite Navigation, 2020, 1(1): 1.
[3]	杨元喜. 弹性PNT基本框架[J]. 测绘学报, 2018, 47(7): 893-898. DOI: 10.11947/j.AGCS.2018.20180149.
	YANG Yuanxi. Resilient PNT concept frame[J]. Acta Geodaetica et Cartographica Sinica, 2018, 47(7): 893-898. DOI: 10.11947/j.AGCS.2018.20180149
[4]	国家标准化管理委员会. 北斗卫星导航系统公开服务性能规范：GB/T 39473—2020[S]. 北京: 中国标准出版社, 2020.
	Standardization Administration of the People's Republic of China. Specifications for open service performance of BeiDou navigation satellite system: GB/T 39473—2020[S]. Beijing: Standards Press of China, 2020.
[5]	ALLAN D W, WEISS M A. Accurate time and frequency transfer during common-view of a GPS satellite[C]//Proceedings of the 34th Annual Symposium on Frequency Control. Philadelphia: IEEE, 1980: 334-346.
[6]	JIANG Z. Time transfer with GPS satellites all in view[C]//Proceedings of 2004 Asia Pacific Workshop on Time and Frequency. Beijing: APMP, 2004: 236-243.
[7]	SCHILDKNECHT T, DACH R, BOCK H. GPS phase measurements for high-precision time and frequency transfer[J]. IEEE Transactions on Instrumentation and Measurement, 1995.44(3), 634-638.
[8]	ZUMBERGE J F, HEFLIN M B, JEFFERSON D C, et al. Precise point positioning for the efficient and robust analysis of GPS data from large networks[J]. Journal of Geophysical Research: Solid Earth, 1997, 102(B3): 5005-5017.
[9]	WANG Shengli, ZHAO Xingwang, GE Yulong, et al. Investigation of real-time carrier phase time transfer using current multi-constellations[J]. Measurement, 2020, 166: 108237.
[10]	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.
[11]	吕大千, 曾芳玲, 欧阳晓凤, 等. 时频传递的改进整数相位钟方法[J]. 测绘学报, 2019, 48(7): 889-897. DOI: 10.11947/j.AGCS.2019.20180248.
	LÜ Daqian, ZENG Fangling, OUYANG Xiaofeng, et al. Time and frequency transfer based on modified integer phase clock method[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(7): 889-897. DOI: 10.11947/j.AGCS.2019.20180248.
[12]	PETIT G. Sub-10-16 accuracy GNSS frequency transfer with IPPP[J]. GPS Solutions, 2021, 25(1): 22.
[13]	ROSE J A R, WATSON R J, ALLAIN D J, et al. Ionospheric corrections for GPS time transfer[J]. Radio Science, 2014, 49(3): 196-206.
[14]	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.
[15]	施闯, 张东, 宋伟, 等. 北斗广域高精度时间服务原型系统[J]. 测绘学报, 2020, 49(3): 269-277. DOI: 10.11947/j.AGCS.2020.20180534.
	SHI Chuang, ZHANG Dong, SONG Wei, et al. BeiDou wide-area precise timing prototype system[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(3): 269-277. DOI: 10.11947/j.AGCS.2020.20180534.
[16]	施闯, 辜声峰, 楼益栋, 等. 广域实时精密定位与时间服务系统[J]. 测绘学报, 2022, 51(7): 1206-1214. DOI: 10.11947/j.AGCS.2022.20220153.
	SHI Chuang, GU Shengfeng, LOU Yidong, et al. Real-time wide-area precise positioning and precise timing service system[J]. Acta Geodaetica et Cartographica Sinica, 2022, 51(7): 1206-1214. DOI: 10.11947/j.AGCS.2022.20220153.
[17]	DELPORTE J, MERCIER F, LAURICHESSE D, et al. GPS carrier-phase time transfer using single-difference integer ambiguity resolution[J]. International Journal of Navigation and Observation, 2008, 2008: 273785.
[18]	LEE S W, SCHUTZ B E, LEE C B, et al. A study on the common-view and all-in-view GPS time transfer using carrier-phase measurements[J]. Metrologia, 2008, 45(2): 156-167.
[19]	FENG Yanming, LI Bofei. Four dimensional real time kinematic state estimation and analysis of relative clock solutions[C]//Proceedings of the 23rd International Technical Meeting of the Satellite Division of the Institute of Navigation. Porlant: ION, 2010: 2092-2099.
[20]	TU Rui, ZHANG Pengfei, ZHANG Rui, et al. Real-time and dynamic time transfer method based on double-differenced real-time kinematic mode[J]. IET Radar, Sonar & Navigation, 2021, 15(2): 143-153.
[21]	XUE Xia, QIN Honglei, LU Hui. High-precision time synchronization of kinematic navigation system using GNSS RTK differential carrier phase time transfer[J]. Measurement, 2021, 176(6): 109132.
[22]	董孝松, 孙保琪, 杨海彦, 等. GNSS实时动态授时精度分析[J]. 中国空间科学技术, 2021, 41(6): 34-41.
	DONG Xiaosong, SUN Baoqi, YANG Haiyan, et al. Accuracy analysis of GNSS real-time kinematic timing[J]. Chinese Space Science and Technology, 2021, 41(6): 34-41.
[23]	杨徐, 徐爱功, 秦小茜, 等. 高度角定权模型的BDS/GPS伪距单点定位分析[J]. 导航定位学报, 2017, 5(2): 72-78, 85.
	YANG Xu, XU Aigong, QIN Xiaoxi, et al. Analysis on BDS/GPS pseudorange point positioning with weight matrix models of elevation angles[J]. Journal of Navigation and Positioning, 2017, 5(2): 72-78, 85.
[24]	BIPM. BIPM time department data base[EB/OL]. [2023-11-21]. https://webtai.bipm.org/database/.
[25]	PETIT G, JIANG Zhiheng, WHITE J, et al. Absolute calibration of an ashtech Z12-T GPS receiver[J]. GPS Solutions, 2001, 4(4): 41-46.
[26]	International GNSS Service. Products-international GNSS service[EB/OL]. [2020-09-16]. https://igs.org/products/.
[27]	ALLAN D W, BARNES J A. A modified Allan variance with increased oscillator characterization ability[C]//Proceedings of the 35th Annual Frequency Control Symposium. Philadelphia: IEEE, 1981: 470-475.
[28]	ALLAN D W, WEISS M A, JESPERSEN J L. A frequency-domain view of time-domain characterization of clocks and time and frequency distribution systems[C]//Proceedings of the 45th Annual Symposium on Frequency Control. New York: IEEE, 1991: 667-678.
[29]	IEEE UFFC. Stable32 by William Riley frequency stability analysis[EB/OL]. https://ieeeuffc.org/frequency-control/frequency-control-software/stable32/.
[30]	施闯, 郑福, 楼益栋, 等. 北斗高精度时频服务理论方法与应用[J]. 武汉大学学报(信息科学版), 2023, 48(7): 1010-1018.
	SHI Chuang, ZHENG Fu, LOU Yidong, et al. BDS high-precision time and frequency service theorical method and application[J]. Geomatics and Information Science of Wuhan University, 2023, 48(7): 1010-1018.

基线	基站接收机类型	用户站接收机类型	距离/km
USN8-USN7	SEPT POLARX5TR	SEPT POLARX5TR	0
SPT0-ONSA	SEPT POLARX5TR	SEPT POLARX5TR	67.90
BJCC-BJ01	PD51A	PD318-T	0.01
BJCC-BJ02	PD51A	PD318-T	35.20

解算策略	DPT时频传递	终端时频同步
卫星系统	BDS-3、GPS
采样率/s	30	1
观测量	SPT0-ONSA：无电离层组合USN8-USN7：非组合	BJCC-BJ02：无电离层组合BJCC-BJ01：非组合
高度角/（°）	15
解算模式	事后解算	实时解算
卫星轨道&钟差	广播星历
电离层延迟改正	USN8-USN7、BJCC-BJ01：OFF；SPT0-ONSA、BJCC-BJ02：无电离层组合
对流层延迟改正	USN8-USN7、BJCC-BJ01：OFF；SPT0-ONSA、BJCC-BJ02：Saastamoninen

测站	TOT（L1）	TOT（L2）	校准不确定度uCal0
USN7	155.6	149.3	1.2
USN8	202.6	197.4	1.2

北斗实时百皮秒级单差时频同步方法

BDS real-time 100 picosecond level single difference time and frequency synchronization method

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