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Cabrelli, C.; Molter, U.; Pfander, G.E. "An Amalgam Balian-Low Theorem for symplectic lattices of rational density" (2015) 11th International Conference on Sampling Theory and Applications, SampTA 2015:134-138
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Abstract:

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.

Registro:

Documento: Conferencia
Título:An Amalgam Balian-Low Theorem for symplectic lattices of rational density
Autor:Cabrelli, C.; Molter, U.; Pfander, G.E.
Filiación:Departament de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
DVIAS/CONICET, Consejo Nacional de Investigaciones, Cientiflcas y Técnicas, Argentina
Mathematics Jacobs University, Bremen, 28759, Germany
Mathematisch Geographische Fakultät, KU Eichstätt, Germany
Palabras clave:Balian-Low theorem; Discrete sets; Single windows; Symplectic; Time frequency; Time-frequency shift; Window functions
Año:2015
Página de inicio:134
Página de fin:138
DOI: http://dx.doi.org/10.1109/SAMPTA.2015.7148866
Título revista:11th International Conference on Sampling Theory and Applications, SampTA 2015
Título revista abreviado:Int. Conf. Sampl. Theory Appl., SampTA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97814673_v_n_p134_Cabrelli

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Citas:

---------- APA ----------
Cabrelli, C., Molter, U. & Pfander, G.E. (2015) . An Amalgam Balian-Low Theorem for symplectic lattices of rational density. 11th International Conference on Sampling Theory and Applications, SampTA 2015, 134-138.
http://dx.doi.org/10.1109/SAMPTA.2015.7148866
---------- CHICAGO ----------
Cabrelli, C., Molter, U., Pfander, G.E. "An Amalgam Balian-Low Theorem for symplectic lattices of rational density" . 11th International Conference on Sampling Theory and Applications, SampTA 2015 (2015) : 134-138.
http://dx.doi.org/10.1109/SAMPTA.2015.7148866
---------- MLA ----------
Cabrelli, C., Molter, U., Pfander, G.E. "An Amalgam Balian-Low Theorem for symplectic lattices of rational density" . 11th International Conference on Sampling Theory and Applications, SampTA 2015, 2015, pp. 134-138.
http://dx.doi.org/10.1109/SAMPTA.2015.7148866
---------- VANCOUVER ----------
Cabrelli, C., Molter, U., Pfander, G.E. An Amalgam Balian-Low Theorem for symplectic lattices of rational density. Int. Conf. Sampl. Theory Appl., SampTA. 2015:134-138.
http://dx.doi.org/10.1109/SAMPTA.2015.7148866