Influence of the colored noise on determining the period of a torsion pendulum
Luo Jie1, Zhan Wen-Ze1, Wu Wei-Huang1, Shao Cheng-Gang2, †, , Wang Dian-Hong1
       

Relationship between the normalized uncertainty and the interval of the sample time. f(γ) is the normalized uncertainty of the period, γ = Δt/(2/λ) represents the different interval of the sample time on the condition that the length of the correlation time is set as a constant. Each point denotes the normalized statistical uncertainty. The solid line is obtained by the polynomial fitting between simulated uncertainties and the different ratio γ. Some points in the plot are covered by the solid line. Referring to the real experimental data in the experiment of measuring G with the time-of-swing method,[23] the simulation parameters are set respectively.