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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Guardado en:
Detalles Bibliográficos
Publicado: 2019
Materias:
Extra time-frequency shift invariance
Gabor space
Shift-invariant space
Time-frequency analysis
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v474_n2_p1289_Cabrelli
http://hdl.handle.net/20.500.12110/paper_0022247X_v474_n2_p1289_Cabrelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0022247X_v474_n2_p1289_Cabrelli
record_format dspace
spelling paper:paper_0022247X_v474_n2_p1289_Cabrelli2023-06-08T14:48:02Z Time-frequency shift invariance of Gabor spaces generated by integer lattices 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. 2019 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v474_n2_p1289_Cabrelli 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
collection 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
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.
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
publishDate 2019
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v474_n2_p1289_Cabrelli
http://hdl.handle.net/20.500.12110/paper_0022247X_v474_n2_p1289_Cabrelli
_version_ 1768545913795510272

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