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Frequency Extrapola...
Frequency Extrapolation through Sparse Sums of Lorentzians
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- Andersson, Fredrik (author)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Carlsson, Marcus (author)
- Lund University,Lunds universitet,Matematik (naturvetenskapliga fakulteten),Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Sciences),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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de Hoop, Maarten V. (author)
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(creator_code:org_t)
- 2014-01-24
- 2014
- English.
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In: Journal of Earth Science. - : Springer Science and Business Media LLC. - 1867-111X .- 1674-487X. ; 25:1, s. 117-125
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- sparse sum
- Lorentzians
- Hankel matrices
- finite rank operator
- discontinuity location
Publication and Content Type
- art (subject category)
- ref (subject category)
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