Error analysis of mono-frequency interference approximation
Gao Shao-wu1,2, Zhao Bo2, Zhu Shu-yun2, Luo Guo-an2, He Zhen-hua1
1. Chengdu University of Technology, Chengdu, Sichuan 610059, China;
2. Geophysical Technique Research Center, BGP Inc., CNPC, Zhuozhou, Hebei 072750, China
Abstract：In a variety of the identification and elimination methods of the mono-frequency interference(MFI) approximation,three parameters of the amplitude,frequency,and phase would first be accurately estimated,and then the MFI could be effectively eliminated.So the estimation errors for those three parameters would also result in an estimation error of the MFI.In the cosine function approximation,the amplitude and the MFI computation errors could be brought by the estimation error for the frequency and the time-delay parameters,and in the sine-cosine function approximation,the estimation error of the frequency would also result in the computation errors of the amplitude and the MFI.So in this paper,a quantitative error is performed about the MFI estimation error induced by three parameter estimation errors and the amplitude computation error induced by the frequency or time-delay estimation errors.The error analysis results of the MFI approximations for the synthetic and field data examples have illustrated that in order to estimate the cosine function amplitude and MFI exactly and precisely,the accuracy of the frequency should not be less than 0.01Hz,and one of the time-delay should be 0.1,and at the same time to estimate the sine-cosine function amplitudes and MFI exactly and precisely,the accuracy of the frequency should not be less than 0.01Hz.
