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dc.contributor.authorLagunas Hernandez, Miguel A.
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Teoria del Senyal i Comunicacions
dc.date.accessioned2016-07-06T13:09:21Z
dc.date.available2016-07-06T13:09:21Z
dc.date.issued1989
dc.identifier.citationLagunas, M. Least squares null space variational characterization for nonminimum norm solutions. A: IEEE International Conference on Acoustics, Speech, and Signal Processing. "ICASSP 1989: IEEE International Conference on Acoustics, Speech & Signal Processing: proceedings: ICASSP 89: Glasgow, Scotland: 23-26 May 1989". Glasgow, Scotland: 1989, p. 2190-2193.
dc.identifier.urihttp://hdl.handle.net/2117/88549
dc.description.abstractThe least-squares estimation problem with non-minimum-norm constraints on the unknown model parameters is considered. Contrary to the quadratic-constraint least-squares solutions the approach presented does not necessarily satisfy the constraint, but rather relies on the nullity of the data matrix to maintain the unconstrained least-squares error value while trading off the minimum-norm solution by another with the shortest distance from the null space of the constraint. The singular value decomposition of the data matrix is used to obtain the necessary information about the minimum-norm solution as well as the basis of the null space. Closed-form expressions are derived for the case in which the constraint of interest is the smoothness of the model parameters. Examples of sinusoids in white noise are given for illustration.
dc.format.extent4 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Enginyeria de la telecomunicació
dc.subject.lcshFilters and filtration
dc.subject.otherFiltering and prediction theory
dc.subject.otherLeast squares approximations
dc.titleLeast squares null space variational characterization for nonminimum norm solutions
dc.typeConference report
dc.subject.lemacFiltres i filtració
dc.identifier.doi10.1109/ICASSP.1989.266898
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=266898
dc.rights.accessOpen Access
drac.iddocument18570751
dc.description.versionPostprint (published version)
upcommons.citation.authorLagunas, M.
upcommons.citation.contributorIEEE International Conference on Acoustics, Speech, and Signal Processing
upcommons.citation.pubplaceGlasgow, Scotland
upcommons.citation.publishedtrue
upcommons.citation.publicationNameICASSP 1989: IEEE International Conference on Acoustics, Speech & Signal Processing: proceedings: ICASSP 89: Glasgow, Scotland: 23-26 May 1989
upcommons.citation.startingPage2190
upcommons.citation.endingPage2193
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