Back to Search
Start Over
Duality results for co-compact Gabor systems
- Source :
- Jakobsen, M S & Lemvig, J 2015, Duality results for co-compact Gabor systems . in Proceedings of the 11th International Conference on Sampling Theory and Applications (SampTA 2015) . IEEE Press, pp. 144-147, 11th International Conference on Sampling Theory and Applications, Washington, District of Columbia, United States, 25/05/2015 . https://doi.org/10.1109/SAMPTA.2015.7148868
- Publication Year :
- 2015
- Publisher :
- IEEE, 2015.
-
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.
- Subjects :
- Modulation
Mathematics::Functional Analysis
Pure mathematics
Gabor wavelet
Hilbert space
Duality (optimization)
Second-countable space
Lattices
Gabor transform
Size measurement
Fourier transforms
Algebra
Zinc
symbols.namesake
Signal Processing and Analysis
symbols
Gabor–Wigner transform
Locally compact space
Abelian group
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- 2015 International Conference on Sampling Theory and Applications (SampTA)
- Accession number :
- edsair.doi.dedup.....1c25fea05620eb8de0ee60491c61640f