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Frequency Extrapolation through Sparse Sums of Lorentzians

Andersson, Fredrik LU ; Carlsson, Marcus LU and de Hoop, Maarten V. (2014) In Journal of Earth Science 25(1). p.117-125
Abstract
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.
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
sparse sum, Lorentzians, Hankel matrices, finite rank operator, discontinuity location
in
Journal of Earth Science
volume
25
issue
1
pages
117 - 125
publisher
Springer
external identifiers
  • wos:000330554900008
  • scopus:84899096409
ISSN
1867-111X
DOI
10.1007/s12583-014-0368-z
language
English
LU publication?
yes
id
8a60f8b1-7867-448a-8f21-307361018532 (old id 4318557)
date added to LUP
2016-04-01 10:15:00
date last changed
2022-01-25 21:22:29
@article{8a60f8b1-7867-448a-8f21-307361018532,
  abstract     = {{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.}},
  author       = {{Andersson, Fredrik and Carlsson, Marcus and de Hoop, Maarten V.}},
  issn         = {{1867-111X}},
  keywords     = {{sparse sum; Lorentzians; Hankel matrices; finite rank operator; discontinuity location}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{117--125}},
  publisher    = {{Springer}},
  series       = {{Journal of Earth Science}},
  title        = {{Frequency Extrapolation through Sparse Sums of Lorentzians}},
  url          = {{http://dx.doi.org/10.1007/s12583-014-0368-z}},
  doi          = {{10.1007/s12583-014-0368-z}},
  volume       = {{25}},
  year         = {{2014}},
}