The application of co-integration theory in ensemble pulsar timescale algorithm

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英文篇名：The application of co-integration theory in ensemble pulsar timescale algorithm 作者：Feng ; Gao ; Ming-Lei ; Tong ; Yu-Ping ; Gao ; Ting-Gao ; Yang ; Cheng-Shi ; Zhao 英文作者：Feng Gao;Ming-Lei Tong;Yu-Ping Gao;Ting-Gao Yang;Cheng-Shi Zhao;National Time Service Center, Chinese Academy of Sciences;Key Laboratory of Time and Frequency Primary Standards, Chinese Academy of Sciences;University of Chinese Academy of Sciences;Department of Applied Physics, Xi'an University of Science and Technology; 英文关键词：pulsars:general;;time;;methods:analytical 中文刊名：TTWL 英文刊名：天文和天体物理学研究(英文版) 机构：National Time Service Center, Chinese Academy of Sciences;Key Laboratory of Time and Frequency Primary Standards, Chinese Academy of Sciences;University of Chinese Academy of Sciences;Department of Applied Physics, Xi'an University of Science and Technology; 出版日期：2019-07-15 出版单位：Research in Astronomy and Astrophysics 年：2019 期：v.19 基金：funded by the National Natural Science Foundation of China (Grant Nos.11373028,U1531112,91736207,11873050, 11873049 and U1831130);; the A Project of the Young Scholar of the “West Light” of the Chinese Academy of Sciences (XAB2015A06);; the Cultivation Fund of Xi’an University of Science and Technology (No. 201707) 语种：英文; 页：TTWL201907011 页数：8 CN：07 ISSN：11-5721/P 分类号：117-124

摘要

Employing multiple pulsars and using an appropriate algorithm to establish ensemble pulsar timescale can reduce the influences of various noises on the long-term stability of pulsar timescale, compared to a single pulsar. However, due to the low timing precision and significant red noises of some pulsars,their participation in the construction of ensemble pulsar timescale is often limited. Inspired by the principle of solving non-stationary sequence modeling using co-integration theory, we put forward an algorithm based on co-integration theory to establish an ensemble pulsar timescale. It is found that this algorithm can effectively suppress some noise sources if a co-integration relationship between different pulsar data exists.Different from the classical weighted average algorithm, the co-integration method provides the chance for a pulsar with significant red noises to be included in the establishment of an ensemble pulsar timescale.Based on data from the North American Nanohertz Observatory for Gravitational Waves(NANOGrav),we found that the co-integration algorithm can successfully reduce several timing noises and improve the long-term stability of the ensemble pulsar timescale.
        Employing multiple pulsars and using an appropriate algorithm to establish ensemble pulsar timescale can reduce the influences of various noises on the long-term stability of pulsar timescale, compared to a single pulsar. However, due to the low timing precision and significant red noises of some pulsars,their participation in the construction of ensemble pulsar timescale is often limited. Inspired by the principle of solving non-stationary sequence modeling using co-integration theory, we put forward an algorithm based on co-integration theory to establish an ensemble pulsar timescale. It is found that this algorithm can effectively suppress some noise sources if a co-integration relationship between different pulsar data exists.Different from the classical weighted average algorithm, the co-integration method provides the chance for a pulsar with significant red noises to be included in the establishment of an ensemble pulsar timescale.Based on data from the North American Nanohertz Observatory for Gravitational Waves(NANOGrav),we found that the co-integration algorithm can successfully reduce several timing noises and improve the long-term stability of the ensemble pulsar timescale.

引文

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