An overview of wavelet transform concepts and applications

The continuous wavelet transform utilizing a complex Morlet analyzing wavelet has a close connection to the Fourier transform and is a powerful analysis tool for decomposing broadband wavefield data. A wide range of seismic wavelet applications have been reported over the last three decades, and the free Seismic Unix processing system now contains a code (succwt) based on the work reported here.

[1]  Bin Wang,et al.  Kirchhoff Migration of Seismic Data Compressed By Matching Pursuit Decomposition , 1996 .

[2]  Improving Both Seismic Section Signal-noise Ratio And Resolution By the Properties of Wavelet Transform Zero-crossings And Polynomial Fitting , 1996 .

[3]  Multiscale edge detection by means of multiscale migration , 1996 .

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[5]  C. P. A. Wapenaar,et al.  Efficient Migration With One-way Operators In the Wavelet Transform Domain , 1995 .

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[10]  1-D VISCOELASTIC WAVE EQUATION INVERSION ──APPLICATION OF WAVELET TRANSFORM , 1994 .

[11]  A. Grossmann,et al.  DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE , 1984 .

[12]  Wooil M. Moon,et al.  Application of the Wavelet Transform In Seismic Data Processing , 1994 .

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[14]  Multi-scale AVA Analysis , 1997 .

[15]  H. Niitsuma.  Discrimination of split shear waves by wavelet transform , 1993 .

[16]  Edmund C. Reiter,et al.  Wavelet Transform-based Compression of NMO-corrected CDP Gathers , 1994 .

[17]  Vijay K. Madisetti,et al.  Deconvolution of seismic traces using homomorphic analysis and matching pursuit , 1996 .

[18]  John P. Castagna,et al.  Time‐frequency attribute of seismic data using continuous wavelet transform , 2003 .

[19]  Kurt M. Strack,et al.  Society of Exploration Geophysicists , 2007 .

[20]  D. Okaya,et al.  Frequency‐time decomposition of seismic data using wavelet‐based methods , 1995 .

[21]  Xingyao Yin,et al.  Application of Wavelet Transform in 3D Seismic Sequence Analysis , 1998 .

[22]  A. Grossmann,et al.  Cycle-octave and related transforms in seismic signal analysis , 1984 .

[23]  Kees Wapenaar,et al.  Characterization of Reflectors By Multi-scale Amplitude And Phase Analysis of Seismic Data , 1998 .

[24]  Tadeusz J. Ulrych,et al.  Tomography Via Wavelet Transform Constraints , 1995 .

[25]  Christopher L. Liner,et al.  Wavelet-based detection of singularities in acoustic impedances from surface seismic reflection data , 2008 .

[26]  Doyle R. Watts,et al.  Ground-roll suppression using the wavelet transform , 1997 .

[27]  Direct Imaging of Group Velocity Dispersion Curves in Shallow Water , 2009 .

[28]  P. Carrion.  Reflection Tomography in Wavelet Transform Domain , 1997 .

[29]  Multi‐scale attribute analysis and trace decomposition , 1996 .

[30]  G. Partyka,et al.  Processing And Interpretational Aspects of Spectral Decomposition , 1997 .

[31]  A. Gersztenkorn,et al.  Gulf of Mexico shelf framework interpretation using a bed-form attribute from spectral imaging , 2004 .

[32]  J. Morlet,et al.  A simplified view of the cycle‐octave and voice representations of seismic signals , 1984 .

[33]  Xiao Ping Li,et al.  Characterization of Heterogeneities From Sonic Velocity Measurements Using the Wavelet Transform , 1995 .