Title :
An Amalgam Balian-Low Theorem for symplectic lattices of rational density
Author :
Cabrelli, Carlos ; Molter, Ursula ; Pfander, Gotz E.
Author_Institution :
Dept. de Mat., Univ. de Buenos Aires, Buenos Aires, Argentina
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.
Keywords :
Gabor filters; time-frequency analysis; Amalgam Balian-Low Theorem; Balian-Low type result; Gabor space; rational density; single window function; symplectic lattices; time-frequency shifted copies; time-frequency shifts; Algebra; Fourier transforms; Lattices; Time-frequency analysis; Uncertainty;
Conference_Titel :
Sampling Theory and Applications (SampTA), 2015 International Conference on
Conference_Location :
Washington, DC
DOI :
10.1109/SAMPTA.2015.7148866