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Chin. Phys. B, 2024, Vol. 33(4): 040601    DOI: 10.1088/1674-1056/ad1b43
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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
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.
Keywords:  weighting method      redundant subspace      clock ensemble      time scale  
Received:  21 September 2023      Revised:  25 December 2023      Accepted manuscript online:  05 January 2024
PACS:  06.30.Ft (Time and frequency)  
Fund: 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).
Corresponding Authors:  Yu-Zhuo Wang     E-mail:  wangyzh@nim.ac.cn

Cite this article: 

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 2024 Chin. Phys. B 33 040601

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