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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 |
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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.
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Received: 21 September 2023
Revised: 25 December 2023
Accepted manuscript online: 05 January 2024
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PACS:
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06.30.Ft
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(Time and frequency)
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| 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
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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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[1] Levine J 1999 Rev. Sci. Instrum. 70 062567
[2] Panfilo G and Arias F 2019 Metrologia 56 042001
[3] McGrew W F, Zhang X, Leopardi H, Fasano R J, Nicolodi D, Beloy K, Yao J, Sherman J A, Schäffer S A, Savory J, Brown R C, Römisch S, Oates C W, Parker T E, Fortier T M and Ludlow A D 2018 Optica 1811 05885
[4] Parisi F and Panfilo G 2016 Metrologia 53 1185
[5] Arias E F, Panfilo G and Petit G 2011 Metrologia 48 145
[6] Hachisu H, Petit G, Nakagawa F, Hanado Y and Ido T 2017 Opt. Express 25 8511
[7] Ido T, Hachisu H, Nakagawa F and Hanado Y 2016 J. Phys.:Conf. Ser. 723 012041
[8] Zucca C and Tavella P 2015 Metrologia 52 514
[9] Wang Q, Droz F and Rochat P 2015 Joint Conference of the IEEE International Frequency Control Symposium & the European Frequency and Time Forum, Denver, CO, USA, pp. 374——378
[10] Shemar S L, Davis J A and Whibberley P B 2010 EFTF-2010 24th European Frequency and Time Forum, Noordwijk, Netherlands, 2010, pp. 1——8
[11] Podogova S and Mishagin K 2014 European Frequency and Time Forum (EFTF), Neuchatel, Switzerland, 2014, pp. 568——570
[12] Torcaso F, Ekstrom C R, Burt E A and Matsakis D N 2000 IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 47 1183
[13] Gao C, Wang B, Zhu X, Li T C and Wang L J 2015 Joint Conference of the IEEE International Frequency Control Symposium & the European Frequency and Time Forum, Denver, CO, USA, 2015, pp. 562——564
[14] Guo Y C, Wang B, Si H W, Cai Z W, Zhang A M, Zhu X, Yang J, Feng K M, Han C H, Li T C and Wang L J 2018 Metrologia 55 631
[15] Panfilo G 2009 IEEE International Frequency Control Symposium Joint with the 22nd European Frequency and Time Forum, Besancon, France, 2009, pp. xviii——xix
[16] Wang Y Z, Zhang A M, Gao Y, Xu Q H and Lin Y G 2018 Measurement Science & Technology 29 075015
[17] Holm S, Synnevag J F and Austeng A 2009 IEEE 13rd Digital Signal Processing Workshop and 5$th IEEE Signal Processing Education Workshop, Marco Island, FL, USA, 2009, pp. 60——65
[18] Synnevag J F, Austeng A and Holm S 2007 IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 54 1606
[19] Zhang A M, Gao Y, Liang K, Wang W B, Yang Z Q, Ning D Y and Fang Z J 2013 Joint European Frequency and Time Forum & International Frequency Control Symposium (EFTF/IFC), Prague, Czech Republic, 2013, pp. 654——657
[20] Sesia I, Cantoni E, Cernigliaro A, Signorile G, Fantino G and Tavella P 2016 IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 63 575
[21] Zhang A M, Gao Y, Liang K, Yang Z Q, Wang W B, Ning D Y, Zhao K J, Zhang Y, Huang Y, Zhang H and Gao X X 2012 Journal of Metrology Society of India 27 55
[22] Gao Y, Gao X X, Zhang A M, Wang W B, Ning D Y, Wang C, Li D W, Liu X J, Liu N F, Wang P, Li M S, Lin P W, Chen W L, Lin Y G and Li T C 2008 Metrologia 45 S34 |
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