Application of a Pseudo-Fourier Series Method in Tilt Data Processing


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A new pseudo-Fourier series (PFS) method to suppress single-frequency noise is proposed in this paper. The basic principle is derived in detail. Numerical experiments show that the PFS method is highly effective in extracting harmonic signal and when the frequency of the extracted composition is very close to that of the noise composition, the filtering effect will be slightly decreased, and the close range is about 1e-4. Four types of ground tides are successfully filtered out for picking-up the long-term trend of the tilt observation and the mutational abnormality.



Advanced Materials Research (Volumes 588-589)

Edited by:

Lawrence Lim




Y. Wu et al., "Application of a Pseudo-Fourier Series Method in Tilt Data Processing", Advanced Materials Research, Vols. 588-589, pp. 806-809, 2012

Online since:

November 2012




[1] D. Y. Feng, Y. G. Nie, R. Z. Guo, G. Y. Wu. Tectonic waves and their applications to earthquake prediction. Crustal Deformation and Earthquake. 13(1), (1993)1-13. (in Chinese with English abstract).

[2] D. Y. Feng, Q. L. Pan, S. H. Zheng. Long-period deformational waves and short term and imminent earthquake precursors. Acta Seismologica Sinica. 6(1), (1984) 41-57. (in Chinese with English abstract).

[3] Z. Y. Li, D. F. Chen, Y. L. Wu, X. J. Li. Study on Characteristics selection and its classification effect of tilt precursory observations, Acta Seismologica Sinica. 18(4), (1996) 470-474.

[4] S. R. Mei, D. Y. Fen. China Overview of Earthquake Prediction, Earthquake Press, Peking, (1993).

[5] D.M. Wu, D. Y. Han. Processing three kinds of deformation data of the dahuichang station before and after tangshan earthquake by the multichannel winner filtering method. Acta Seismologica Sinica. 5(1), (1983).

[6] R. S. Zeng, Introductory Theory of The Solid Geophysics. Science Press, Peking, (1984).

[7] D. Y. Han, H. Z. An, L. Gu. Analysis of deformation data before and after earthquake by mixed regression method with spare coefficients. China Earthquake. 1(2), (1985) 67-73. (in Chinese with English abstract).

[8] VENEDIKOV A P, ARNOSO J, VIEIRA R. New version of the program VAV f or tidal data processing. Comput Geosci. 3(1), (2005) 667-669.


[9] Doodson, A. T. , The Harmonic development of the tide-generating potential, International Hydrographic Review. XXXI(1), (1954).

[10] W. C. Yang, The theory and method of geophysical inversion, Geological Press, (1997).

[11] A. F. Niu, Study on the sudden changes ground tilt and earthquakes. Acta Seismologica Sinica. 25(4), (2003) 441-445(in Chinese with English abstract).

[12] J. Li, Z. Y. Zhou, S. L. Lu, C. Y. Lu, Contrast and analysis of digital and analogic deformation data at stations in shandong province, Journal of Geodesy and Geodynamics. 23(1), (2003) 85-92.(in Chinese with English abstract).

[13] LaColazet, R., Application a l'analyse des observations de maree gravimetrique, de la method de H. et Y. Labrouste dite par combinaisions lineaires d'ordonnees, Annales de Geophy, 12 (1956).