Title :
Duality results for co-compact Gabor systems
Author :
Jakobsen, Mads Sielemann ; Lemvig, Jakob
Author_Institution :
Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark
Abstract :
In this paper we give an account of recent developments in the duality theory of Gabor frames. We prove the Wexler-Raz biorthogonality relations and the duality principle for co-compact Gabor systems on second countable, locally compact abelian groups G. Our presentation does not rely on the existence of uniform lattices in G.
Keywords :
Gabor filters; duality (mathematics); Wexler-Raz biorthogonality relation; co-compact Gabor system; duality theory; Fourier transforms; Hilbert space; Lattices; Modulation; Size measurement; Zinc;
Conference_Titel :
Sampling Theory and Applications (SampTA), 2015 International Conference on
Conference_Location :
Washington, DC
DOI :
10.1109/SAMPTA.2015.7148868
