Jie Luo(罗杰), Wen-Ze Zhan(占文泽), Wei-Huang Wu(巫伟皇),
Cheng-Gang Shao(邵成刚), and Dian-Hong Wang(王典洪)
1School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China
2MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics,
Huazhong University of Science and Technology, Wuhan 430074, China
(Received 24 February 2016; revised manuscript received 18 April 2016; published online 25 June 2016)
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 Dt/(1/l ) where Dt is the interval of the sample time and 1/l is the length of the correlation time. The result of processing experimental data shows that as the interval of the sample time Dt gradually shortens, the uncertainty of the period becomes smaller, and further when the ratio Dt/(1/l ) is less than 1, the uncertainty remains substantially unchanged.
Keywords: torsion pendulum, Gaussian colored noise, uncertainty, correlation time
PACS: 04.80.Cc DOI: 10.1088/1674-1056/25/8/080401
