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

罗杰; 柯俊; 柳一川; 张祥莉; 殷蔚明; 邵成刚

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

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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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来源
《中国物理：英文版》 |2019年第10期|274-281|共8页
作者
罗杰; 柯俊; 柳一川; 张祥莉; 殷蔚明; 邵成刚;
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作者单位

School of Mechanical Engineering and Electronic Information;

China University of Geosciences;

Wuhan 430074;

China;

MOE Key Laboratory of Fundamental Physical Quantities Measurement;

School of Physics;

Huazhong University of Science and Technology (HUST);

Wuhan 430074;

China;

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原文格式 PDF
正文语种 chi
中图分类物理学;
关键词
optimal; amplitude; estimation; thermal; noise; torsion; pendulum; measurement; time;

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

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