dc.contributor.author | Halvdansson, Karl Simon | |
dc.contributor.author | Olsen, Jan-Fredrik | |
dc.contributor.author | Levie, Ron | |
dc.contributor.author | Sochen, Nir | |
dc.date.accessioned | 2023-11-28T15:02:53Z | |
dc.date.available | 2023-11-28T15:02:53Z | |
dc.date.created | 2023-01-20T15:12:16Z | |
dc.date.issued | 2023 | |
dc.identifier.issn | 0025-584X | |
dc.identifier.uri | https://hdl.handle.net/11250/3105079 | |
dc.description.abstract | Continuous 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.iso | eng | en_US |
dc.publisher | Wiley | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Existence of uncertainty minimizers for the continuous wavelet transform | en_US |
dc.title.alternative | Existence of uncertainty minimizers for the continuous wavelet transform | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | publishedVersion | en_US |
dc.source.journal | Mathematische Nachrichten | en_US |
dc.identifier.doi | 10.1002/mana.202100466 | |
dc.identifier.cristin | 2111917 | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |