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

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Cabrelli, Carlos ; Molter, Ursula ; Pfander, Götz E.:
An Amalgam Balian-Low Theorem for symplectic lattices of rational density.
In: Proceedings on the International Conference on Sampling Theory and Applications (SampTA), May 25 - 29, 2015, Washington DC. - Piscataway, New Jersey : IEEE, 2015. - S. 134-138
ISBN 978-1-4673-7353-1 ; 1-4673-7353-2 ; 978-1-4673-7353-1

Kurzfassung/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 density1.

Weitere Angaben

Publikationsform:Aufsatz in einem Buch
Schlagwörter:rational density; Gabor space; time-frequency shifted copies; single window function; time-frequency shifts; Balian-Low type result; Amalgam Balian-Low Theorem; symplectic lattices
Institutionen der Universität:Mathematisch-Geographische Fakultät > Mathematik > Lehrstuhl für Mathematik - Wissenschaftliches Rechnen/Informatik
Weitere URLs:
DOI / URN / ID:https://doi.org/10.1109/SAMPTA.2015.7148866
Begutachteter Aufsatz:Ja
Titel an der KU entstanden:Nein
Eingestellt am:29. Aug 2017 08:18
Letzte Änderung:29. Aug 2017 08:18
URL zu dieser Anzeige:http://edoc.ku-eichstaett.de/20502/