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dc.contributor.authorHalvdansson, Karl Simon
dc.contributor.authorOlsen, Jan-Fredrik
dc.contributor.authorLevie, Ron
dc.contributor.authorSochen, Nir
dc.date.accessioned2023-11-28T15:02:53Z
dc.date.available2023-11-28T15:02:53Z
dc.date.created2023-01-20T15:12:16Z
dc.date.issued2023
dc.identifier.issn0025-584X
dc.identifier.urihttps://hdl.handle.net/11250/3105079
dc.description.abstractContinuous wavelet design is the endeavor to construct mother wavelets with desirable properties for the continuous wavelet transform (CWT). One class of methods for choosing a mother wavelet involves minimizing a functional, called the wavelet uncertainty functional. Recently, two new wavelet uncertainty functionals were derived from theoretical foundations. In both approaches, the uncertainty of a mother wavelet describes its concentration, or accuracy, as a time-scale probe. While an uncertainty minimizing mother wavelet can be proven to have desirable localization properties, the existence of such a minimizer was never studied. In this paper, we prove the existence of minimizers for the two uncertainty functionals.en_US
dc.language.isoengen_US
dc.publisherWileyen_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.titleExistence of uncertainty minimizers for the continuous wavelet transformen_US
dc.title.alternativeExistence of uncertainty minimizers for the continuous wavelet transformen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.source.journalMathematische Nachrichtenen_US
dc.identifier.doi10.1002/mana.202100466
dc.identifier.cristin2111917
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode1


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