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An open question on the existence of Gabor frames in general linear position Krahmer, Felix Pfander, Götz E. Rashkov, Peter Gabor systems erasure channels time--frequency dictionaries short--time Fourier transform uncertainty principle. Uncertainty principles for functions defined on finite Abelian groups generally relate the cardinality of a function to the cardinality of its Fourier transform. We examine how the cardinality of a function is related to the cardinality of its short--time Fourier transform. We illustrate that for some cyclic groups of small order, both, the Fourier and the short--time Fourier case, show a remarkable resemblance. We pose the question whether this correspondence holds for all cyclic groups. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Felix Krahmer and Götz E. Pfander and Peter Rashkov 2009 Is Part Of Dagstuhl Seminar Proceedings, Volume 8492, Structured Decompositions and Efficient Algorithms (2009) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.08492.4 urn:nbn:de:0030-drops-18848 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.08492.4 eng https://creativecommons.org/licenses/by/4.0/legalcode