Correction of cosine oscillation to the improved correlation method of estimating the amplitude of gravitational background signal

Wu, Wenbing; Tian, Yuan; Xue, Changxi; Luo, Jie; Shao, Cheng-Gang

doi:10.1088/1674-1056/26/4/040401

Cited by 2 publications

(2 citation statements)

References 17 publications

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“…Secondly, although the amplitude of the pendulum's torsion free oscillation is small, to determine the thermal noise limit accurately, one needs to remove the free oscillation signal usually. [23] By moving the raw data point of one period of free oscillation, a new data sequence is obtained. Then we subtract the new sequence from the raw data sequence and get the result sequence…”

Section: Thermal Noise Limitmentioning

confidence: 99%

Determination of the thermal noise limit in test of weak equivalence principle with a rotating torsion pendulum

et al. 2017

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Thermal noise is one of the most fundamental limits to the sensitivity in weak equivalence principle test with a rotating torsion pendulum. Velocity damping and internal damping are two of many contributions at the thermal noise, and which one mainly limits the torsion pendulum in low frequency is difficult to be verified by experiment. Based on the conventional method of fast Fourier transform, we propose a developed method to determine the thermal noise limit and then obtain the precise power spectrum density of the pendulum motion signal. The experiment result verifies that the thermal noise is mainly contributed by the internal damping in the fiber in the low frequency torsion pendulum experiment with a high vacuum. Quantitative data analysis shows that the basic noise level in the experiment is about one to two times of the theoretical value of internal damping thermal noise.

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Section: Thermal Noise Limitmentioning

confidence: 99%

Determination of the thermal noise limit in test of weak equivalence principle with a rotating torsion pendulum

et al. 2017

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“…[19] In the gravitational experiments conducted by Huazhong University of Science and Technology (HUST) group, the measurements are often made at levels near or below the thermal noise floor of instruments. [20][21][22] We finally apply the optimal estimation method to process a typical experimental data set of obtaining the amplitude of the gravitational calibration signal of testing the Newtonian gravitational inverse square law (ISL). The results are in agreement with of our model and prove that the new method is superior even for a real physical system, which is instructive and significant to the experimental design with torsion pendulum.…”

Section: Introductionmentioning

confidence: 99%

Optimal estimation of the amplitude of signal with known frequency in the presence of thermal noise*

Luo¹,

Ke²,

Liu³

et al. 2019

Chinese Phys. B

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In the torsion pendulum experiments, the thermal noise sets the most fundamental limit to the accurate estimation of the amplitude of the signal with known frequency. The variance of the conventional method can meet the limit only when the measurement time is much longer than the relaxation time of the pendulum. By using the maximum likelihood estimation and the equation-of-motion filter operator, we propose an optimal (minimum variance, unbiased) amplitude estimation method without limitation of the measurement time, where thermal fluctuation is the leading noise. While processing the experimental data tests of the Newtonian gravitational inverse square law, the variance of our method has been improved than before and the measurement time of determining the amplitude with this method has been reduced about half than before for the same uncertainty. These results are significant for the torsion experiment when the measurement time is limited.

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Correction of cosine oscillation to the improved correlation method of estimating the amplitude of gravitational background signal

Abstract: In the measurement of G with the angular acceleration method, the improved correlation method developed by Wu et al.

Cited by 2 publications

References 17 publications

Determination of the thermal noise limit in test of weak equivalence principle with a rotating torsion pendulum

Determination of the thermal noise limit in test of weak equivalence principle with a rotating torsion pendulum

Optimal estimation of the amplitude of signal with known frequency in the presence of thermal noise*

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