Seismic data have variable characteristics in time and location. Overlooking this important characteristic will reduce the effectiveness of any signal processing tool. In this study we use a new strategy by use of Rational-Dilation Wavelet Transform (RDWT). This method has the capability to achieve variable frequency resolution, which makes it an effective tool in suppressing random noise. The characteristics of the proposed transform change with time and location. This transform is invertible and it provides different Q-factors (Q-factor is the ratio of wavelet’s central frequency to its bandwidth). We adapt RDWT in time and space so it uses diverse range of Q-factors in accord with dominant Q-factor of a trace. We applied it to synthetic data and high frequency shallow Sub-Bottom Profiler data to evaluate the effectiveness of the method. We find outcomes of RDWT with variable Q-factoring time and space to be in agreement with frequency content of the data which indicates that the method is able to improve the continuity of the events by reducing the random noise content of the data.


Article metrics loading...

Loading full text...

Full text loading...


  1. Barnes, A. E.,
    , [1993] Instantaneous spectral bandwidth and dominant frequency with applications to seismic reflection data: Geophysics, 58, 419–428.
    [Google Scholar]
  2. Bayram, I., and Selesnick, I.W.
    [2009] Frequency-domain Design of Overcomplete Rational-Dilation Wavelet Transforms: IEEE Trans. Signal Process, 57, 2957–2972.
    [Google Scholar]
  3. Canales, L.
    , [1984] Random noise reduction: 54th Annual international meeting, SEG, expanded abstracts, 525–527.
    [Google Scholar]
  4. Chase, M.K.
    [1992] Random noise reduction by FXY prediction filtering Exploration: 62th Annual international meeting, SEG, expanded abstracts, 1152–1153.
    [Google Scholar]
  5. Donoho, D. L., and Johnstone, I. M.
    [1994] Ideal spatial adaptation via wavelet shrinkage: Biometrika, 81, 425–455.
    [Google Scholar]
  6. Gulunay, N.
    , [1986] FXDECON and complex Wiener prediction filter: 56th Annual International Meeting, SEG, expanded abstracts, 279–281.
    [Google Scholar]
  7. Goudarzi, A., and Riahi, M. A.
    [2013] TQWT and WDGA- Innovative methods for ground roll attenuation: Journal of Geophysics and Engineering, 10-065007 (12p).
    [Google Scholar]
  8. Irani Mehr, M., Riahi, M.A. and Goudarzi, A.
    [2013] Innovative RDWT: a New DWT-based Method with Applications for Seismic Ground Roll Attenuation: Journal of Geophysics and Engineering. 10-045004(11p).
    [Google Scholar]
  9. Merklin, L., Levchenko, O.
    [2005] Seismic Engineering Survey in the Caspian Sea for Oil and Gas Companies: 2nd Workshop “Seabed Acoustics” in Rostock-Warnemünde.
    [Google Scholar]
  10. Miao, X., and Cheadle, S.
    [1998] Noise attenuation with wavelet transforms. 68th Annual International Meeting, SEG, expanded abstracts, 1072–1075.
    [Google Scholar]

Data & Media loading...

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error