高階アラン分散による高次原子時計の安定度評価

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2023/10/02

タイトル(英語): Higher-Order Allan Variance for Frequency Stability Evaluation of Multi-Dimensional Atomic Clocks

著者名: 市村　太一（東京工業大学），川口　貴弘（群馬大学），矢野　雄一郎（情報通信研究機構），花土　ゆう子（情報通信研究機構），石崎　孝幸（東京工業大学）

著者名(英語): Taichi Ichimura (Tokyo Institute of Technology), Takahiro Kawaguchi (Gunma University ), Yuichiro Yano (National Institute of Information and Communications Technology), Yuko Hanado (National Institute of Information and Communications Technology), Takayuki Ishizaki (Tokyo Institute of Technology)

キーワード: 原子時計，アラン分散，アダマール分散，高階アラン分散　　atomic clock，Allan variance，Hadamard variance，higher-order Allan variance

要約(英語): In this paper, we analyze a generalized version of the Allan variance, referred to as a higher-order Allan variance, that can evaluate the frequency stability of multi-dimensional atomic clocks as a function of the measurement interval. It is known that the standard Allan variance, a measure to evaluate the frequency stability of atomic clocks, has a concern that its value for third-order atomic clocks, such as hydrogen maser, is dependent not only on the sampling interval of measurement data, but also on the time of measurement. To resolve this issue, this paper introduces the higher-order Allan variance defined for the higher-order difference of clock reading deviations. The main contribution of this paper is to mathematically prove that the higher-order Allan variance depends only on the sampling interval of clock reading deviations, for which a sufficiently high order of difference is considered. Furthermore, we present numerical simulation studying the numerical stability of the higher-order Allan variance computation for time series data of clock reading deviations.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.143 No.10 （2023）

本誌掲載ページ: 1017-1024 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/143/10/143_1017/_article/-char/ja/