Construction of Capacity Achieving Lattice Gaussian Codes

Handle URI:
http://hdl.handle.net/10754/609876
Title:
Construction of Capacity Achieving Lattice Gaussian Codes
Authors:
Alghamdi, Wael ( 0000-0001-6631-2160 )
Abstract:
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].
Advisors:
Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Committee Member:
Al-Naffouri, Tareq; Moshkov, Mikhail ( 0000-0003-0085-9483 )
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program
Program:
Electrical Engineering
Issue Date:
Apr-2016
Type:
Thesis
Appears in Collections:
Theses; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.advisorAlouini, Mohamed-Slimen
dc.contributor.authorAlghamdi, Waelen
dc.date.accessioned2016-05-19T14:06:39Z-
dc.date.available2016-05-19T14:06:39Z-
dc.date.issued2016-04-
dc.identifier.urihttp://hdl.handle.net/10754/609876-
dc.description.abstractWe 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].en
dc.language.isoenen
dc.subjectAlgebraicen
dc.subjectCodingen
dc.subjectAWGN-gooden
dc.subjectPoltyreven
dc.subjectLatticeen
dc.subjectLoeligeren
dc.titleConstruction of Capacity Achieving Lattice Gaussian Codesen
dc.typeThesisen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
thesis.degree.grantorKing Abdullah University of Science and Technologyen_GB
dc.contributor.committeememberAl-Naffouri, Tareqen
dc.contributor.committeememberMoshkov, Mikhailen
thesis.degree.disciplineElectrical Engineeringen
thesis.degree.nameMaster of Scienceen
dc.person.id132933en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.