Use of Bayesian statistics to reduce the density shift uncertainty in Cesium fountain

D. Calonico, F. Levi, L. Lorini, G. Mana
{"title":"Use of Bayesian statistics to reduce the density shift uncertainty in Cesium fountain","authors":"D. Calonico, F. Levi, L. Lorini, G. Mana","doi":"10.1109/FREQ.2010.5556320","DOIUrl":null,"url":null,"abstract":"In this paper Bayesian analysis is applied to a Cesium fountain frequency standard to estimate the density shift correction, the maser drift and their uncertainty as well. Cesium fountain frequency standards realize the second in the International System of Units with a relative uncertainty approaching 10−16. Among the main contributions to the accuracy budget, cold collisions play an important role because of the so called atomic density shift of the reference atomic transition. The Bayes theorem allows the a priori knowledge of the sign of the collision shift, that is definitively negative, to be rigorously embedded into the analysis; also the magnitude of the maser drift is known from previous results. We analyze the effect of the Bayesian approach on seven different frequency evaluation of a Maser frequency reported to the BIPM from 2008 to 2010 using IT-CsF1. Comparing the results obtained with the two statistics it is evident a 35% reduction of the frequency uncertainty of the maser frequency estimate, in favour of the Bayesian approach.","PeriodicalId":344989,"journal":{"name":"2010 IEEE International Frequency Control Symposium","volume":"261 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE International Frequency Control Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FREQ.2010.5556320","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1

Abstract

In this paper Bayesian analysis is applied to a Cesium fountain frequency standard to estimate the density shift correction, the maser drift and their uncertainty as well. Cesium fountain frequency standards realize the second in the International System of Units with a relative uncertainty approaching 10−16. Among the main contributions to the accuracy budget, cold collisions play an important role because of the so called atomic density shift of the reference atomic transition. The Bayes theorem allows the a priori knowledge of the sign of the collision shift, that is definitively negative, to be rigorously embedded into the analysis; also the magnitude of the maser drift is known from previous results. We analyze the effect of the Bayesian approach on seven different frequency evaluation of a Maser frequency reported to the BIPM from 2008 to 2010 using IT-CsF1. Comparing the results obtained with the two statistics it is evident a 35% reduction of the frequency uncertainty of the maser frequency estimate, in favour of the Bayesian approach.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
利用贝叶斯统计方法降低铯池中密度位移的不确定性
本文应用贝叶斯分析方法对铯喷泉频率标准进行了密度偏移校正、脉泽漂移及其不确定度的估计。铯喷泉频率标准在国际单位制中实现秒,相对不确定度接近10−16。在对精度预算的主要贡献中,由于所谓的参考原子跃迁的原子密度移动,冷碰撞起着重要作用。贝叶斯定理允许对碰撞位移符号的先验知识(绝对是负的)严格嵌入到分析中;此外,从以前的结果中可以知道脉泽漂移的大小。我们利用IT-CsF1分析了贝叶斯方法对2008年至2010年向BIPM报告的脉泽频率的七种不同频率评估的影响。将结果与两种统计数据进行比较,可以明显地看出脉泽频率估计的频率不确定性降低了35%,有利于贝叶斯方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Blackbody radiation shifts and magic wavelengths for atomic clock research Multiplexed optical link for ultra-stable frequency dissemination Frequency stability and phase noise of an improved X-band cryocooled sapphire oscillator Frequency shifts of colliding fermions in optical lattice clocks Theoretical and experimental study of the phase noise of opto-electronic oscillators based on high quality factor optical resonators
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1