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Sparse estimation of spectral lines: Grid selection problems and their solutions
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.
2012 (English)In: IEEE Transactions on Signal Processing, ISSN 1053-587X, E-ISSN 1941-0476, Vol. 60, no 2, 962-967 p.Article in journal (Refereed) Published
Abstract [en]

Grid selection for sparse estimation of spectral-line parameters is a critical problem that was in need of a satisfactory solution: assuming the usual case of a uniform spectral grid how should one select the number of grid points, K? We first present a simple practical rule for choosing an initial value (or initial values) of K in a given situation. Then, we go on to explain how the estimation results corresponding to different values of K can be compared with one another and therefore how to select the "best" value of K among those considered. Furthermore, we introduce a method for detecting when a grid is "too rough" and for obtaining refined parameter estimates in such a case.

Place, publisher, year, edition, pages
2012. Vol. 60, no 2, 962-967 p.
Keyword [en]
Sinusoidal signals, sparse estimation, spectral analysis
National Category
Signal Processing
Identifiers
URN: urn:nbn:se:uu:diva-165555DOI: 10.1109/TSP.2011.2175222ISI: 000299434300033OAI: oai:DiVA.org:uu-165555DiVA: diva2:474231
Available from: 2012-01-09 Created: 2012-01-09 Last updated: 2017-12-08Bibliographically approved

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Stoica, PeterBabu, Prabhu

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