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

doi:10.1088/1674-1056/ab3a8c

中国物理B ›› 2019, Vol. 28 ›› Issue (10): 100401-100401.doi: 10.1088/1674-1056/ab3a8c

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

Jie Luo(罗杰), Jun Ke(柯俊), Yi-Chuan Liu(柳一川), Xiang-Li Zhang(张祥莉), Wei-Ming Yin(殷蔚明), Cheng-Gang Shao(邵成刚)

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(HUST), Wuhan 430074, China

收稿日期:2019-05-14 修回日期:2019-07-21 出版日期:2019-10-05 发布日期:2019-10-05
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 No. 11575160).

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

Jie Luo(罗杰)¹, Jun Ke(柯俊)¹, Yi-Chuan Liu(柳一川)¹, Xiang-Li Zhang(张祥莉)¹, Wei-Ming Yin(殷蔚明)¹, Cheng-Gang Shao(邵成刚)²

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(HUST), Wuhan 430074, China

Received:2019-05-14 Revised:2019-07-21 Online:2019-10-05 Published:2019-10-05
Contact: Cheng-Gang Shao E-mail:cgshao@mail.hust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11575160).

摘要/Abstract

摘要：

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.

关键词: optimal amplitude estimation, thermal noise, torsion pendulum, measurement time

Abstract:

Key words: optimal amplitude estimation, thermal noise, torsion pendulum, measurement time

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

04.80.Cc

罗杰, 柯俊, 柳一川, 张祥莉, 殷蔚明, 邵成刚. Optimal estimation of the amplitude of signal with known frequency in the presence of thermal noise[J]. 中国物理B, 2019, 28(10): 100401-100401.

Jie Luo(罗杰), Jun Ke(柯俊), Yi-Chuan Liu(柳一川), Xiang-Li Zhang(张祥莉), Wei-Ming Yin(殷蔚明), Cheng-Gang Shao(邵成刚). Optimal estimation of the amplitude of signal with known frequency in the presence of thermal noise[J]. Chin. Phys. B, 2019, 28(10): 100401-100401.

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

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

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