A redundant subspace weighting procedure for clock ensemble

doi:10.1088/1674-1056/ad1b43

中国物理B ›› 2024, Vol. 33 ›› Issue (4): 40601-040601.doi: 10.1088/1674-1056/ad1b43

A redundant subspace weighting procedure for clock ensemble

Hai Xu(徐海)^1,2,†, Yu Chen(陈煜)^3,†, Mo-Chi Liu(刘默驰)¹, and Yu-Zhuo Wang(王玉琢)^1,2,‡

1 National Institute of Metrology, Beijing 100029, China;
2 Key Laboratory of State Administration for Market Regulation(Time Frequency and Gravity Primary Standard), Beijing 100029, China;
3 China National Intellectual Property Administration, Beijing 100088, China

收稿日期:2023-09-21 修回日期:2023-12-25 接受日期:2024-01-05 出版日期:2024-03-19 发布日期:2024-03-22
通讯作者: Yu-Zhuo Wang E-mail:wangyzh@nim.ac.cn
基金资助:
Project supported by the National Key Research and Development Program of China (Grant No. 2021YFB3900701), the Science and Technology Plan Project of the State Administration for Market Regulation of China (Grant No. 2023MK178), and the National Natural Science Foundation of China (Grant No. 42227802).

A redundant subspace weighting procedure for clock ensemble

Hai Xu(徐海)^1,2,†, Yu Chen(陈煜)^3,†, Mo-Chi Liu(刘默驰)¹, and Yu-Zhuo Wang(王玉琢)^1,2,‡

1 National Institute of Metrology, Beijing 100029, China;
2 Key Laboratory of State Administration for Market Regulation(Time Frequency and Gravity Primary Standard), Beijing 100029, China;
3 China National Intellectual Property Administration, Beijing 100088, China

Received:2023-09-21 Revised:2023-12-25 Accepted:2024-01-05 Online:2024-03-19 Published:2024-03-22
Contact: Yu-Zhuo Wang E-mail:wangyzh@nim.ac.cn
Supported by:
Project supported by the National Key Research and Development Program of China (Grant No. 2021YFB3900701), the Science and Technology Plan Project of the State Administration for Market Regulation of China (Grant No. 2023MK178), and the National Natural Science Foundation of China (Grant No. 42227802).

摘要/Abstract

摘要： A redundant-subspace-weighting (RSW)-based approach is proposed to enhance the frequency stability on a time scale of a clock ensemble. In this method, multiple overlapping subspaces are constructed in the clock ensemble, and the weight of each clock in this ensemble is defined by using the spatial covariance matrix. The superimposition average of covariances in different subspaces reduces the correlations between clocks in the same laboratory to some extent. After optimizing the parameters of this weighting procedure, the frequency stabilities of virtual clock ensembles are significantly improved in most cases.

关键词: weighting method, redundant subspace, clock ensemble, time scale

Abstract: A redundant-subspace-weighting (RSW)-based approach is proposed to enhance the frequency stability on a time scale of a clock ensemble. In this method, multiple overlapping subspaces are constructed in the clock ensemble, and the weight of each clock in this ensemble is defined by using the spatial covariance matrix. The superimposition average of covariances in different subspaces reduces the correlations between clocks in the same laboratory to some extent. After optimizing the parameters of this weighting procedure, the frequency stabilities of virtual clock ensembles are significantly improved in most cases.

Key words: weighting method, redundant subspace, clock ensemble, time scale

中图分类号: (Time and frequency)

06.30.Ft

Hai Xu(徐海), Yu Chen(陈煜), Mo-Chi Liu(刘默驰), and Yu-Zhuo Wang(王玉琢). A redundant subspace weighting procedure for clock ensemble[J]. 中国物理B, 2024, 33(4): 40601-040601.

Hai Xu(徐海), Yu Chen(陈煜), Mo-Chi Liu(刘默驰), and Yu-Zhuo Wang(王玉琢). A redundant subspace weighting procedure for clock ensemble[J]. Chin. Phys. B, 2024, 33(4): 40601-040601.

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A redundant subspace weighting procedure for clock ensemble

A redundant subspace weighting procedure for clock ensemble

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