Endpoint-based optimal fractal interpolation for predicting BDS-3 system time offsets

doi:10.1007/s10291-020-01081-z

	Endpoint-based optimal fractal interpolation for predicting BDS-3 system time offsets
	Han, Tao 2; Zou, Decai 1
刊名	GPS SOLUTIONS
	2021-02-09
卷号	25 期号:2 页码:18
关键词	BDS-3 System time offsets Long-memory Fractal prediction Optimal
ISSN号	1080-5370
DOI	10.1007/s10291-020-01081-z
英文摘要	In order to improve the interoperability within the Global Navigation Satellite System (GNSS), the International Committee on Global Navigation Satellite Systems published a joint statement in December 2019 that stated that all GNSS providers agree to monitor and broadcast the time offsets between each system timescale and the Universal Time Coordinated (UTC) or the rapid realization of UTC (UTCr). This commitment requires the study of precise prediction models for system time offsets. The prediction model of system time offsets is different from that of the atomic clock because of the control of the system timescale. The offsets between the system time of the Beidou Satellite Navigation System-3 (BDS-3) and the National Time Service Center (NTSC), called [UTC(NTSC)-BDT], have two main periods of 12 h and 24 h, according to the Fast Fourier Transform analysis. The rescaled range (R/S) analysis demonstrates that it has long memory, making it a fractal time series with a memory period of about 10.4 h. While using the fractal interpolation method to predict the [UTC(NTSC)-BDT] series, we found that the prediction error reaches its minimum value if adding disturbance on the estimated endpoint of the forecasted interval. After verifying the correlation between the estimated endpoints with the minimal interpolation error and minimal prediction error and proving the existence and uniqueness of the estimated endpoint with the minimal interpolation error, we established the endpoint-based optimal fractal interpolation prediction method. The experimental results indicate that the average prediction accuracy of the proposed prediction model is improved by 57.90% and 39.26% compared to that of a quadratic model and standard fractal prediction model, respectively. The accuracy analysis results of numerical tests indicate that the proposed prediction model can restrain the divergence of prediction error. Finally, we transform the [UTC(NTSC)-BDT] into [UTCr -BDT] using the [UTCr-UTC(NTSC)] published by the Bureau International des Poids et Mesures (BIPM) to meet the requirement of GNSS interoperability. The prediction accuracies of daily [UTCr-BDT] using the proposed prediction model are no more than 1.5 ns with uncertainty about 6 ns.
资助项目	Shaanxi Postdoctoral research fund[2017BSHEDZZ22] ; National Natural Science Fund of China[41774025] ; National Natural Science Fund of China[61976176]
WOS研究方向	Remote Sensing
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000617736600001
资助机构	Shaanxi Postdoctoral research fund ; Shaanxi Postdoctoral research fund ; National Natural Science Fund of China ; National Natural Science Fund of China ; Shaanxi Postdoctoral research fund ; Shaanxi Postdoctoral research fund ; National Natural Science Fund of China ; National Natural Science Fund of China ; Shaanxi Postdoctoral research fund ; Shaanxi Postdoctoral research fund ; National Natural Science Fund of China ; National Natural Science Fund of China ; Shaanxi Postdoctoral research fund ; Shaanxi Postdoctoral research fund ; National Natural Science Fund of China ; National Natural Science Fund of China
内容类型	期刊论文
源URL	[http://210.72.145.45/handle/361003/12134]
专题	中国科学院国家授时中心
通讯作者	Han, Tao
作者单位	1.Chinese Acad Sci, Natl Time Serv Ctr, Xian 710600, Shaanxi, Peoples R China 2.Xian Univ Technol, Dept Appl Math, Sch Sci, Xian 710048, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Han, Tao,Zou, Decai. Endpoint-based optimal fractal interpolation for predicting BDS-3 system time offsets[J]. GPS SOLUTIONS,2021,25(2):18.
APA	Han, Tao,&Zou, Decai.(2021).Endpoint-based optimal fractal interpolation for predicting BDS-3 system time offsets.GPS SOLUTIONS,25(2),18.
MLA	Han, Tao,et al."Endpoint-based optimal fractal interpolation for predicting BDS-3 system time offsets".GPS SOLUTIONS 25.2(2021):18.