Time-frequency shift invariance of Gabor spaces generated by integer lattices
We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generated by an integer lattice, we state and prove several characterizations for its time-frequency shift invariance with respect to a finer integer lattice. The extreme cases of full translation invariance...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022247X_v474_n2_p1289_Cabrelli |
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todo:paper_0022247X_v474_n2_p1289_Cabrelli2023-10-03T14:29:25Z Time-frequency shift invariance of Gabor spaces generated by integer lattices Cabrelli, C. Lee, D.G. Molter, U. Pfander, G.E. Extra time-frequency shift invariance Gabor space Shift-invariant space Time-frequency analysis We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generated by an integer lattice, we state and prove several characterizations for its time-frequency shift invariance with respect to a finer integer lattice. The extreme cases of full translation invariance, full modulation invariance, and full time-frequency shift invariance are also considered. The results show a close analogy with the extra translation invariance of shift-invariant spaces. © 2019 Elsevier Inc. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0022247X_v474_n2_p1289_Cabrelli |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Extra time-frequency shift invariance Gabor space Shift-invariant space Time-frequency analysis |
| spellingShingle |
Extra time-frequency shift invariance Gabor space Shift-invariant space Time-frequency analysis Cabrelli, C. Lee, D.G. Molter, U. Pfander, G.E. Time-frequency shift invariance of Gabor spaces generated by integer lattices |
| topic_facet |
Extra time-frequency shift invariance Gabor space Shift-invariant space Time-frequency analysis |
| description |
We study extra time-frequency shift invariance properties of Gabor spaces. For a Gabor space generated by an integer lattice, we state and prove several characterizations for its time-frequency shift invariance with respect to a finer integer lattice. The extreme cases of full translation invariance, full modulation invariance, and full time-frequency shift invariance are also considered. The results show a close analogy with the extra translation invariance of shift-invariant spaces. © 2019 Elsevier Inc. |
| format |
JOUR |
| author |
Cabrelli, C. Lee, D.G. Molter, U. Pfander, G.E. |
| author_facet |
Cabrelli, C. Lee, D.G. Molter, U. Pfander, G.E. |
| author_sort |
Cabrelli, C. |
| title |
Time-frequency shift invariance of Gabor spaces generated by integer lattices |
| title_short |
Time-frequency shift invariance of Gabor spaces generated by integer lattices |
| title_full |
Time-frequency shift invariance of Gabor spaces generated by integer lattices |
| title_fullStr |
Time-frequency shift invariance of Gabor spaces generated by integer lattices |
| title_full_unstemmed |
Time-frequency shift invariance of Gabor spaces generated by integer lattices |
| title_sort |
time-frequency shift invariance of gabor spaces generated by integer lattices |
| url |
http://hdl.handle.net/20.500.12110/paper_0022247X_v474_n2_p1289_Cabrelli |
| work_keys_str_mv |
AT cabrellic timefrequencyshiftinvarianceofgaborspacesgeneratedbyintegerlattices AT leedg timefrequencyshiftinvarianceofgaborspacesgeneratedbyintegerlattices AT molteru timefrequencyshiftinvarianceofgaborspacesgeneratedbyintegerlattices AT pfanderge timefrequencyshiftinvarianceofgaborspacesgeneratedbyintegerlattices |
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1807321850288537600 |