中国物理B ›› 2017, Vol. 26 ›› Issue (4): 40401-040401.doi: 10.1088/1674-1056/26/4/040401

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

Wei-Huang Wu(巫伟皇), Yuan Tian(田苑), Chao Xue(薛超), Jie Luo(罗杰), Cheng-Gang Shao(邵成刚)   

  1. 1 School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China;
    2 School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan 430074, China;
    3 MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China;
    4 School of Physics and Astronomy, Sun Yat-sen University, Guangzhou 510275, China
  • 收稿日期:2016-11-22 修回日期:2017-01-17 出版日期:2017-04-05 发布日期:2017-04-05
  • 通讯作者: Jie Luo, Cheng-Gang Shao E-mail:luojiethanks@126.com;cgshao@mail.hust.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11575160, 11175160, 11275075, and 11511130011).

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

Wei-Huang Wu(巫伟皇)1, Yuan Tian(田苑)2, Chao Xue(薛超)3,4, Jie Luo(罗杰)1, Cheng-Gang Shao(邵成刚)3   

  1. 1 School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China;
    2 School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan 430074, China;
    3 MOE Key Laboratory of Fundamental Physical Quantities Measurement, School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China;
    4 School of Physics and Astronomy, Sun Yat-sen University, Guangzhou 510275, China
  • Received:2016-11-22 Revised:2017-01-17 Online:2017-04-05 Published:2017-04-05
  • Contact: Jie Luo, Cheng-Gang Shao E-mail:luojiethanks@126.com;cgshao@mail.hust.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11575160, 11175160, 11275075, and 11511130011).

摘要:

In the measurement of G with the angular acceleration method, the improved correlation method developed by Wu et al. (Wu W H, Tian Y, Luo J, Shao C G, Xu J H and Wang D H 2016 Rev. Sci. Instrum. 87 094501) is used to accurately estimate the amplitudes of the prominent harmonic components of the gravitational background signal with time-varying frequency. Except the quadratic slow drift, the angular frequency of the gravitational background signal also includes a cosine oscillation coming from the useful angular acceleration signal, which leads to a deviation from the estimated amplitude. We calculate the correction of the cosine oscillation to the amplitude estimation. The result shows that the corrections of the cosine oscillation to the amplitudes of the fundamental frequency and second harmonic components obtained by the improved correlation method are within respective errors.

关键词: gravitational background signal, improved correlation method, correction, cosine oscillation

Abstract:

In the measurement of G with the angular acceleration method, the improved correlation method developed by Wu et al. (Wu W H, Tian Y, Luo J, Shao C G, Xu J H and Wang D H 2016 Rev. Sci. Instrum. 87 094501) is used to accurately estimate the amplitudes of the prominent harmonic components of the gravitational background signal with time-varying frequency. Except the quadratic slow drift, the angular frequency of the gravitational background signal also includes a cosine oscillation coming from the useful angular acceleration signal, which leads to a deviation from the estimated amplitude. We calculate the correction of the cosine oscillation to the amplitude estimation. The result shows that the corrections of the cosine oscillation to the amplitudes of the fundamental frequency and second harmonic components obtained by the improved correlation method are within respective errors.

Key words: gravitational background signal, improved correlation method, correction, cosine oscillation

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

  • 04.80.Cc