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, 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
Descripción
Sumario: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.

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