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Frequency Extrapolation through Sparse Sums of Lorentzians

På svenska

Author

Summary, in English

Sparse sums of Lorentzians can give good approximations to functions consisting of linear combination of piecewise continuous functions. To each Lorentzian, two parameters are assigned: translation and scale. These parameters can be found by using a method for complex frequency detection in the frequency domain. This method is based on an alternating projection scheme between Hankel matrices and finite rank operators, and have the advantage that it can be done in weighted spaces. The weighted spaces can be used to partially revoke the effect of finite band-width filters. Apart from frequency extrapolation the method provides a way of estimating discontinuity locations.

Publishing year

2014

Language

English

Pages

117-125

Publication/Series

Journal of Earth Science

Volume

25

Issue

1

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • sparse sum
  • Lorentzians
  • Hankel matrices
  • finite rank operator
  • discontinuity location

Status

Published

Research group

  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 1867-111X