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http://hdl.handle.net/10773/24151
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Cerejeiras, Paula | pt_PT |
dc.contributor.author | Hartmann, Stefan | pt_PT |
dc.contributor.author | Orelma, Heikki | pt_PT |
dc.date.accessioned | 2018-09-24T15:20:18Z | - |
dc.date.issued | 2018-11-01 | - |
dc.identifier.issn | 0188-7009 | pt_PT |
dc.identifier.uri | http://hdl.handle.net/10773/24151 | - |
dc.description.abstract | We study quaternionic Gabor frames based on the two-sided quaternionic windowed Fourier transform. Since classical Hilbert space based methods do not work in this case we introduce appropriated versions of translation and modulation operators. We prove Janssen’s and Walnut’s representations, as well as modified versions of the Wexler–Raz biorthogonality and Ron–Shen duality based on the concept of correlation function. We end up with a characterization of tight quaternionic Gabor frames. | pt_PT |
dc.language.iso | eng | pt_PT |
dc.publisher | Springer Verlag | pt_PT |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | pt_PT |
dc.rights | openAccess | pt_PT |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | pt_PT |
dc.subject | Quaternionic Gabor frames | pt_PT |
dc.subject | Two-sided QWFT | pt_PT |
dc.subject | Quaternionic frame operator | pt_PT |
dc.subject | Janssen’s representation | pt_PT |
dc.subject | Wexler–Raz biorthogonality | pt_PT |
dc.subject | Frame bounds | pt_PT |
dc.title | Structural results for quaternionic Gabor frames | pt_PT |
dc.type | article | pt_PT |
dc.description.version | published | pt_PT |
dc.peerreviewed | yes | pt_PT |
degois.publication.firstPage | 1 | pt_PT |
degois.publication.issue | 86 | pt_PT |
degois.publication.lastPage | 12 | pt_PT |
degois.publication.title | Advances in Applied Clifford Algebras | pt_PT |
degois.publication.volume | 28 | pt_PT |
dc.date.embargo | 2019-11-01 | - |
dc.relation.publisherversion | https://link.springer.com/article/10.1007/s00006-018-0901-8 | pt_PT |
dc.identifier.doi | 10.1007/s00006-018-0901-8 | pt_PT |
dc.identifier.essn | 1661-4909 | pt_PT |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CHO_WQFT_structure_v0.pdf | 283.84 kB | Adobe PDF | View/Open |
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