Duality results for co-compact Gabor systems

Mads Sielemann Jakobsen; Jakob Lemvig

doi:10.1109/SAMPTA.2015.7148868

Duality results for co-compact Gabor systems

Mads Sielemann Jakobsen
, Jakob Lemvig

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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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.

Original language	English
Title of host publication	Proceedings of the 11th International Conference on Sampling Theory and Applications (SampTA 2015)
Publisher	IEEE Press
Publication date	2015
Pages	144-147
ISBN (Print)	978-1-4673-7353-1
DOIs	https://doi.org/10.1109/SAMPTA.2015.7148868
Publication status	Published - 2015
Event	11th International Conference on Sampling Theory and Applications - Washington, United States Duration: 25 May 2015 → 29 May 2015 Conference number: 11 http://www.american.edu/cas/mathstat/sampta2015/index.cfm

Conference

Conference	11th International Conference on Sampling Theory and Applications
Number	11
Country/Territory	United States
City	Washington
Period	25/05/2015 → 29/05/2015
Internet address	http://www.american.edu/cas/mathstat/sampta2015/index.cfm

Keywords

Signal Processing and Analysis
Fourier transforms
Hilbert space
Lattices
Modulation
Size measurement
Zinc

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10.1109/SAMPTA.2015.7148868

Sampta 2015 Gabor 2 Accepted author manuscript, 242 KB

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@inproceedings{811d506ed1414343931ad09175147dfc,

title = "Duality results for co-compact Gabor systems",

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 = "Signal Processing and Analysis, Fourier transforms, Hilbert space, Lattices, Modulation, Size measurement, Zinc",

author = "Jakobsen, \{Mads Sielemann\} and Jakob Lemvig",

year = "2015",

doi = "10.1109/SAMPTA.2015.7148868",

language = "English",

isbn = "978-1-4673-7353-1",

pages = "144--147",

booktitle = "Proceedings of the 11th International Conference on Sampling Theory and Applications (SampTA 2015)",

publisher = "IEEE Press",

note = "11th International Conference on Sampling Theory and Applications, SAMPTA 2015 ; Conference date: 25-05-2015 Through 29-05-2015",

url = "http://www.american.edu/cas/mathstat/sampta2015/index.cfm",

}

Jakobsen, MS & 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

TY - GEN

T1 - Duality results for co-compact Gabor systems

AU - Jakobsen, Mads Sielemann

AU - Lemvig, Jakob

N1 - Conference code: 11

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

KW - Signal Processing and Analysis

KW - Fourier transforms

KW - Hilbert space

KW - Lattices

KW - Modulation

KW - Size measurement

KW - Zinc

U2 - 10.1109/SAMPTA.2015.7148868

DO - 10.1109/SAMPTA.2015.7148868

M3 - Article in proceedings

SN - 978-1-4673-7353-1

SP - 144

EP - 147

BT - Proceedings of the 11th International Conference on Sampling Theory and Applications (SampTA 2015)

PB - IEEE Press

T2 - 11th International Conference on Sampling Theory and Applications

Y2 - 25 May 2015 through 29 May 2015

ER -

Duality results for co-compact Gabor systems

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Conference

Keywords

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