Frequency Extrapolation through Sparse Sums of Lorentzians
Författare
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.
Avdelning/ar
Publiceringsår
2014
Språk
Engelska
Sidor
117-125
Publikation/Tidskrift/Serie
Journal of Earth Science
Volym
25
Issue
1
Dokumenttyp
Artikel i tidskrift
Förlag
Springer
Ämne
- Mathematics
Nyckelord
- sparse sum
- Lorentzians
- Hankel matrices
- finite rank operator
- discontinuity location
Status
Published
Forskningsgrupp
- Harmonic Analysis and Applications
ISBN/ISSN/Övrigt
- ISSN: 1867-111X