On the construction of capacity-achieving lattice Gaussian codes

Wael Alghamdi, Walid Abediseid, Mohamed-Slim Alouini

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.
Original languageEnglish (US)
Title of host publication2016 IEEE International Symposium on Information Theory (ISIT)
PublisherInstitute of Electrical and Electronics Engineers (IEEE)
Pages1511-1515
Number of pages5
ISBN (Print)9781509018062
DOIs
StatePublished - Aug 15 2016

Fingerprint Dive into the research topics of 'On the construction of capacity-achieving lattice Gaussian codes'. Together they form a unique fingerprint.

Cite this