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http://hdl.handle.net/10773/14592
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Hartmann, Stefan | pt |
dc.date.accessioned | 2015-09-01T16:09:20Z | - |
dc.date.available | 2015-09-01T16:09:20Z | - |
dc.date.issued | 2015-06-17 | - |
dc.identifier.issn | 1099-1476 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/14592 | - |
dc.description.abstract | Shifted and modulated Gaussian functions play a vital role in the representation of signals. We extend the theory into a quaternionic setting, using two exponential kernels with two complex numbers. As a final result, we show that every continuous and quaternion-valued signal f in the Wiener space can be expanded into a unique l2 series on a lattice at critical density 1, provided one more point is added in the middle of a cell. We call that a relaxed Gabor expansion. | pt |
dc.language.iso | eng | pt |
dc.publisher | Wiley | pt |
dc.relation | FCT - UID/MAT/0416/2013 | pt |
dc.rights | openAccess | por |
dc.subject | Gabor expansion | pt |
dc.subject | Critical density | pt |
dc.title | Relaxed quaternionic Gabor expansions at critical density | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.publicationstatus | submitted | pt |
degois.publication.title | Mathematical Methods in the Applied Sciences | pt |
Appears in Collections: | CIDMA - Artigos CHAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Hartmann_Gabor.pdf | Documento principal | 379.82 kB | Adobe PDF | View/Open |
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