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Spectral Estimation of Irregularly Sampled Exponentially Decaying Signals with Applications to RF Spectroscopy
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
Univeristy of Florida, Fl, USA.
Lund University, Sweden.
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2010 (English)In: Journal of magnetic resonance, ISSN 1090-7807, E-ISSN 1096-0856, Vol. 203, no 1, 167-176 p.Article in journal (Refereed) Published
Abstract [en]

The problem of estimating the spectral content of exponentially decaying signals from a set of irregularly sampled data is of considerable interest in several applications, for example in various forms of radio frequency spectroscopy. In this paper, we propose a new nonparametric iterative adaptive approach that provides a solution to this estimation problem. As opposed to commonly used methods in the field, the damping coefficient, or linewidth, is explicitly modeled, which allows for an improved estimation performance. Numerical examples using both simulated data and data from NQR experiments illustrate the benefits of the proposed estimator as compared to currently available nonparametric methods.

Place, publisher, year, edition, pages
2010. Vol. 203, no 1, 167-176 p.
Keyword [en]
Missing data, Spectral estimation, Nonparametric spectral estimation, Irregularly sampled data, Spectroscopic techniques
National Category
Engineering and Technology
Research subject
Automatic Control
Identifiers
URN: urn:nbn:se:uu:diva-114168DOI: 10.1016/j.jmr.2009.12.015ISI: 000274921000019OAI: oai:DiVA.org:uu-114168DiVA: diva2:293285
Available from: 2010-02-11 Created: 2010-02-11 Last updated: 2017-12-12Bibliographically approved

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Gudmundson, ErikStoica, Peter

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