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Robust matrix rank reduction methods for seismic data processing

  • Author / Creator
    Chen, Ke
  • An important step of seismic data processing entails signal de-noising. Traditional de-noising methods assume Gaussian noise model and their performance degrades in the presence of erratic (non-Gaussian) noise. This thesis examines the problem of designing reduced-rank noise attenuation algorithms that are resistant to erratic noise. I first introduce a robust matrix factorization based on M-estimate and incorporate it into the formulation of the classical Singular Spectrum Analysis (SSA) algorithm. This new algorithm (Robust SSA) permits to de-noise seismic data that have been contaminated by non-Gaussian noise. I also propose a second Robust SSA algorithm that attacks the data de-noising and reconstruct problems as low-rank matrix recovery problem that is solved by a convex optimization algorithm. The NP-hard rank minimization problem is replaced by its tightest convex relaxation, the nuclear-norm minimization. An augmented Lagrangian method is used to numerically look for the solution that minimizes the cost function.

  • Subjects / Keywords
  • Graduation date
    2013-11
  • Type of Item
    Thesis
  • Degree
    Master of Science
  • DOI
    https://doi.org/10.7939/R3930P366
  • License
    This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.
  • Language
    English
  • Institution
    University of Alberta
  • Degree level
    Master's
  • Department
    • Department of Physics
  • Specialization
    • Geophysics
  • Supervisor / co-supervisor and their department(s)
    • Sacchi, Mauricio (Physics)
  • Examining committee members and their departments
    • Gu, Yu (Physics)
    • Currie, Claire (Physics)
    • Dumberry, Mathieu (Physics)