Influence of the colored noise on determining the period of a torsion pendulum

doi:10.1088/1674-1056/25/8/080401

中国物理B ›› 2016, Vol. 25 ›› Issue (8): 80401-080401.doi: 10.1088/1674-1056/25/8/080401

Influence of the colored noise on determining the period of a torsion pendulum

Jie Luo(罗杰), Wen-Ze Zhan(占文泽), Wei-Huang Wu(巫伟皇), Cheng-Gang Shao(邵成刚), Dian-Hong Wang(王典洪)

1 School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China;
2 MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2016-02-24 修回日期:2016-04-18 出版日期:2016-08-05 发布日期:2016-08-05
通讯作者: Cheng-Gang Shao E-mail:cgshao@mail.hust.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11175160, 11275075, and 11575160).

Influence of the colored noise on determining the period of a torsion pendulum

Jie Luo(罗杰)¹, Wen-Ze Zhan(占文泽)¹, Wei-Huang Wu(巫伟皇)¹, Cheng-Gang Shao(邵成刚)², Dian-Hong Wang(王典洪)¹

1 School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China;
2 MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2016-02-24 Revised:2016-04-18 Online:2016-08-05 Published:2016-08-05
Contact: Cheng-Gang Shao E-mail:cgshao@mail.hust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11175160, 11275075, and 11575160).

摘要/Abstract

摘要：

Based on statistical properties, two typical models are considered to calculate the uncertainties for some random noise sequences on the period extraction of a torsion pendulum, which is important and instructive in the measurement of gravitational constant G with the time-of-swing method. An expression of the uncertainty for the period measurement is obtained, which is dependent on the ratio Δt/(1/λ) where Δt is the interval of the sample time and 1/λ is the length of the correlation time. The result of processing experimental data shows that as the interval of the sample time Δt gradually shortens, the uncertainty of the period becomes smaller, and further when the ratio Δt/(1/λ) is less than 1, the uncertainty remains substantially unchanged.

关键词: torsion pendulum, Gaussian colored noise, uncertainty, correlation time

Abstract:

Key words: torsion pendulum, Gaussian colored noise, uncertainty, correlation time

中图分类号: (Experimental tests of gravitational theories)

04.80.Cc

罗杰, 占文泽, 巫伟皇, 邵成刚, 王典洪. Influence of the colored noise on determining the period of a torsion pendulum[J]. 中国物理B, 2016, 25(8): 80401-080401.

Jie Luo(罗杰), Wen-Ze Zhan(占文泽), Wei-Huang Wu(巫伟皇), Cheng-Gang Shao(邵成刚), Dian-Hong Wang(王典洪). Influence of the colored noise on determining the period of a torsion pendulum[J]. Chin. Phys. B, 2016, 25(8): 80401-080401.

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Influence of the colored noise on determining the period of a torsion pendulum

Influence of the colored noise on determining the period of a torsion pendulum

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