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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Cabrelli, C., Molter, U., Pfander, G.E.
Formato: CONF
Materias:
Balian-Low theorem
Discrete sets
Single windows
Symplectic
Time frequency
Time-frequency shift
Window functions
Acceso en línea: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 todo:paper_97814673_v_n_p134_Cabrelli
record_format dspace
spelling todo:paper_97814673_v_n_p134_Cabrelli2023-10-03T16:43:28Z An Amalgam Balian-Low Theorem for symplectic lattices of rational density Cabrelli, C. Molter, U. Pfander, G.E. 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. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, C.
Molter, U.
Pfander, G.E.
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.
format CONF
author Cabrelli, C.
Molter, U.
Pfander, G.E.
author_facet Cabrelli, C.
Molter, U.
Pfander, G.E.
author_sort Cabrelli, C.
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
url http://hdl.handle.net/20.500.12110/paper_97814673_v_n_p134_Cabrelli
work_keys_str_mv AT cabrellic anamalgambalianlowtheoremforsymplecticlatticesofrationaldensity
AT molteru anamalgambalianlowtheoremforsymplecticlatticesofrationaldensity
AT pfanderge anamalgambalianlowtheoremforsymplecticlatticesofrationaldensity
AT cabrellic amalgambalianlowtheoremforsymplecticlatticesofrationaldensity
AT molteru amalgambalianlowtheoremforsymplecticlatticesofrationaldensity
AT pfanderge amalgambalianlowtheoremforsymplecticlatticesofrationaldensity
_version_ 1782029356237848576

Ejemplares similares