Frequency-Energy Characteristics of Local Earthquakes using Discrete Wavelet Transform(DWT)

Authors: O. H. Colak, T. C. Destici, S. Ozen, H. Arman, O. Cerezci

Abstract:

The wavelet transform is one of the most important method used in signal processing. In this study, we have introduced frequency-energy characteristics of local earthquakes using discrete wavelet transform. Frequency-energy characteristic was analyzed depend on difference between P and S wave arrival time and noise within records. We have found that local earthquakes have similar characteristics. If frequency-energy characteristics can be found accurately, this gives us a hint to calculate P and S wave arrival time. It can be seen that wavelet transform provides successful approximation for this. In this study, 100 earthquakes with 500 records were analyzed approximately.

Keywords: Discrete Wavelet Transform, Frequency-EnergyCharacteristics, P and S waves arrival time.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1076050

References:

[1] O. Kulhanek, "Anatomy of Seismograms", Elsevier Science Publishers, Netherlands, (1990).
[2] U. F. Dowla, S. K. Anant, "Wavelet Transform Methods for Phase Identification in Three Component Seismograms", Bulletin of Seismological Society of America, Vol. 87, No. 6., pp. 1598-1612, December (1997).
[3] Z. Du, G. R. Foulger, F. Mao, "Noise reduction for Broad-band threecomponent seismograms using data-adaptive polarization Filters", Geophys. J. Int., 141, 820-828, (2000).
[4] P. J. Oonincx, "A Wavelet Method for Detecting S- waves in Seismic Data", Computational Geosciences 3, 11-134, (1999).
[5] A. Chakraborty, D. Okaya, "Frequency -Time Decompositions of Seismic Data Using Wavelet-Based Methods", Geophysics, Vol. 60, No. 6, 1906-1916, December (1995).
[6] J. C. Goswami, A. K. Chan, "Fundamentals of Wavelets Theory, Algorithm and Applications", John Wiley & Sons, USA, (1999).
[7] M. Misiti, Y. Misiti, G. Oppenheim, J. Poggi, "Wavelet Toolbox for use with MATLAB, User-s Guide", The Mathworks Inc., (1997-2002).
[8] C. Parameswariah, "Understanding Wavelet Analysis and Filters for Engineering Applications", PHd., College of Engineering and Science, Louisiana Tech University, May 2003.
[9] L. Angr─▒sani, M. Daponte, M. D-apuzzo, A. Testa, "A Measurement Method Based on The Wavelet Transform for Power Quality Analysis", IEEE Transactions on Power Delivery, Vol. 13, No.4, October (1998).
[10] R. G. Lyons, "Understanding Digital Signal Processing", Addison Wesley Inc., (1999).
[11] I. Daubechies, "Ten Lectures in Wavelets, Series in Applied Mathematics", Philadelphia, pp. 357, (1992).