im PublikationsserverTitelangaben
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
Volltext
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Link zum Volltext (externe URL): https://doi.org/10.1109/SAMPTA.2015.7148866 |
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
Mathematisch-Geographische Fakultät > Mathematik > Mathematisches Institut für Maschinelles Lernen und Data Science (MIDS) |
| Weitere URLs: | |
| DOI / URN / ID: | 10.1109/SAMPTA.2015.7148866 |
| Begutachteter Aufsatz: | Ja |
| Titel an der KU entstanden: | Nein |
| KU.edoc-ID: | 20502 |
Letzte Änderung: 04. Okt 2024 13:23
URL zu dieser Anzeige: https://edoc.ku.de/id/eprint/20502/
