An Amalgam Balian-Low Theorem for symplectic lattices of rational density

A Gabor space is a space generated by a discrete set of time-frequency shifted copies of a single window function. Starting from the question of whether a Gabor space contains additional time-frequency shifts of the window function we establish a new Balian-Low type result. This result extends (for...

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Detalles Bibliográficos
Autores principales:	Cabrelli, Carlos Alberto, Molter, Ursula Maria
Publicado:	2015
Materias:	Balian-Low theorem Discrete sets Single windows Symplectic Time frequency Time-frequency shift Window functions
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97814673_v_n_p134_Cabrelli http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p134_Cabrelli
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_97814673_v_n_p134_Cabrelli
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spelling	paper:paper_97814673_v_n_p134_Cabrelli2023-06-08T16:37:38Z An Amalgam Balian-Low Theorem for symplectic lattices of rational density Cabrelli, Carlos Alberto Molter, Ursula Maria Balian-Low theorem Discrete sets Single windows Symplectic Time frequency Time-frequency shift Window functions A Gabor space is a space generated by a discrete set of time-frequency shifted copies of a single window function. Starting from the question of whether a Gabor space contains additional time-frequency shifts of the window function we establish a new Balian-Low type result. This result extends (for example) the well established Amalgam Balian-Low Theorem in the one dimensional case. The Gabor spaces considered in this note are generated by symplectic lattices of rational density.1 © 2015 IEEE. Fil:Cabrelli, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Molter, U. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97814673_v_n_p134_Cabrelli http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p134_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	Balian-Low theorem Discrete sets Single windows Symplectic Time frequency Time-frequency shift Window functions
spellingShingle	Balian-Low theorem Discrete sets Single windows Symplectic Time frequency Time-frequency shift Window functions Cabrelli, Carlos Alberto Molter, Ursula Maria An Amalgam Balian-Low Theorem for symplectic lattices of rational density
topic_facet	Balian-Low theorem Discrete sets Single windows Symplectic Time frequency Time-frequency shift Window functions
description	A Gabor space is a space generated by a discrete set of time-frequency shifted copies of a single window function. Starting from the question of whether a Gabor space contains additional time-frequency shifts of the window function we establish a new Balian-Low type result. This result extends (for example) the well established Amalgam Balian-Low Theorem in the one dimensional case. The Gabor spaces considered in this note are generated by symplectic lattices of rational density.1 © 2015 IEEE.
author	Cabrelli, Carlos Alberto Molter, Ursula Maria
author_facet	Cabrelli, Carlos Alberto Molter, Ursula Maria
author_sort	Cabrelli, Carlos Alberto
title	An Amalgam Balian-Low Theorem for symplectic lattices of rational density
title_short	An Amalgam Balian-Low Theorem for symplectic lattices of rational density
title_full	An Amalgam Balian-Low Theorem for symplectic lattices of rational density
title_fullStr	An Amalgam Balian-Low Theorem for symplectic lattices of rational density
title_full_unstemmed	An Amalgam Balian-Low Theorem for symplectic lattices of rational density
title_sort	amalgam balian-low theorem for symplectic lattices of rational density
publishDate	2015
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97814673_v_n_p134_Cabrelli http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p134_Cabrelli
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An Amalgam Balian-Low Theorem for symplectic lattices of rational density

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