Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/24151
Title: | Structural results for quaternionic Gabor frames |
Author: | Cerejeiras, Paula Hartmann, Stefan Orelma, Heikki |
Keywords: | Quaternionic Gabor frames Two-sided QWFT Quaternionic frame operator Janssen’s representation Wexler–Raz biorthogonality Frame bounds |
Issue Date: | 1-Nov-2018 |
Publisher: | Springer Verlag |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24151 |
DOI: | 10.1007/s00006-018-0901-8 |
ISSN: | 0188-7009 |
Publisher Version: | https://link.springer.com/article/10.1007/s00006-018-0901-8 |
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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