1887

Abstract

Summary

A general framework for the joint interpolation and 3D deghosting of severely aliased data using multimeasurement data is provided. This is used to solve the (severely) underdetermined inverse problem of reconstructing the upgoing pressure data in the crossline wavenumber domain. This work aims to study the difference between different greedy algorithms to solve the inverse problem. In particular, four algorithms are discussed - Generalized Matching Pursuit (GMP), Orthogonal GMP (OGMP), GMP with a final orthogonalization step (GMPr), and Optimized Orthogonal GMP (OOGMP). All these algorithms iteratively estimate the spatial wavenumbers and the complex amplitudes associated with them. However, they have different rates of convergence. We highlight the main differences between these algorithms in terms of complexity and performance

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/content/papers/10.3997/2214-4609.20141392
2014-06-16
2024-04-18
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References

  1. Rebollo-Neira, L. and Lowe, D.
    [2002] Optimized orthogonal matching pursuit approach. IEEE Signal Processing Letters, 9, 137–140
    [Google Scholar]
  2. Mallat, S. G., and Zhang, Z.
    [1993] Matching pursuits with time-frequency dictionaries. IEEE Transactions on Signal Processing, 41(12).
    [Google Scholar]
  3. Özbek k, A., Vassallo, M., Özdemir, K., van-ManenD.J. and Eggenberger, K.
    [2010] Crossline wavefield reconstruction from multicomponent streamer data: Part 2 – Joint interpolation and 3-D up/down separation by generalized matching pursuit. Geophysics, 57, WB69.
    [Google Scholar]
  4. Papoulis, A.
    [1977] Generalized sampling expansion. IEEE Transactions on Circuits and Systems, 24(11), 652–654.
    [Google Scholar]
  5. Pati, Y.
    [1993] Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition. Signals, Systems and Computer, 40–44.
    [Google Scholar]
  6. Vassallo, M., Özbek, A., Eggenberger, K., Özdemir, K., van Manen, D.J. and Robertsson, J.
    [2011] Matching Pursuit Methods Applied to Multicomponent Marine Seismic Acquisition: the Issue of Crossline Aliasing. 73rd EAGE Conference and Exhibition.
    [Google Scholar]
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