On the construction of capacity-achieving lattice Gaussian codes

Handle URI:
http://hdl.handle.net/10754/621328
Title:
On the construction of capacity-achieving lattice Gaussian codes
Authors:
Alghamdi, Wael Mohammed Abdullah ( 0000-0001-6631-2160 ) ; Abediseid, Walid; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
In this paper, we propose a new approach to proving results regarding channel coding schemes based on construction-A lattices for the Additive White Gaussian Noise (AWGN) channel that yields new characterizations of the code construction parameters, i.e., the primes and dimensions of the codes, as functions of the block-length. The approach we take introduces an averaging argument that explicitly involves the considered parameters. This averaging argument is applied to a generalized Loeliger ensemble [1] to provide a more practical proof of the existence of AWGN-good lattices, and to characterize suitable parameters for the lattice Gaussian coding scheme proposed by Ling and Belfiore [3]. © 2016 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Alghamdi W, Abediseid W, Alouini M-S (2016) On the construction of capacity-achieving lattice Gaussian codes. 2016 IEEE International Symposium on Information Theory (ISIT). Available: http://dx.doi.org/10.1109/ISIT.2016.7541551.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2016 IEEE International Symposium on Information Theory (ISIT)
Conference/Event name:
2016 IEEE International Symposium on Information Theory, ISIT 2016
Issue Date:
15-Aug-2016
DOI:
10.1109/ISIT.2016.7541551
Type:
Conference Paper
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorAlghamdi, Wael Mohammed Abdullahen
dc.contributor.authorAbediseid, Waliden
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2016-11-03T06:57:47Z-
dc.date.available2016-11-03T06:57:47Z-
dc.date.issued2016-08-15en
dc.identifier.citationAlghamdi W, Abediseid W, Alouini M-S (2016) On the construction of capacity-achieving lattice Gaussian codes. 2016 IEEE International Symposium on Information Theory (ISIT). Available: http://dx.doi.org/10.1109/ISIT.2016.7541551.en
dc.identifier.doi10.1109/ISIT.2016.7541551en
dc.identifier.urihttp://hdl.handle.net/10754/621328-
dc.description.abstractIn this paper, we propose a new approach to proving results regarding channel coding schemes based on construction-A lattices for the Additive White Gaussian Noise (AWGN) channel that yields new characterizations of the code construction parameters, i.e., the primes and dimensions of the codes, as functions of the block-length. The approach we take introduces an averaging argument that explicitly involves the considered parameters. This averaging argument is applied to a generalized Loeliger ensemble [1] to provide a more practical proof of the existence of AWGN-good lattices, and to characterize suitable parameters for the lattice Gaussian coding scheme proposed by Ling and Belfiore [3]. © 2016 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleOn the construction of capacity-achieving lattice Gaussian codesen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2016 IEEE International Symposium on Information Theory (ISIT)en
dc.conference.date10 July 2016 through 15 July 2016en
dc.conference.name2016 IEEE International Symposium on Information Theory, ISIT 2016en
kaust.authorAlghamdi, Wael Mohammed Abdullahen
kaust.authorAbediseid, Waliden
kaust.authorAlouini, Mohamed-Slimen
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