Correction of cosine oscillation to the improved correlation method of estimating the amplitude of gravitational background signal |
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| Affiliation: | 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 |
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| 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 DH 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. |
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| Keywords: | gravitational background signal improved correlation method correction cosine oscillation |
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