Diversity of low-density lattices

Mayur Punekar, Joseph Boutros

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

Abstract

We describe full-diversity constructions of real lattices defined by their integer-check matrix, i.e. the inverse of their generator matrix. In the first construction suited to maximum-likelihood decoding, these lattices are defined by sparse (low-density) or non-sparse integer-check matrices. Based on a special structure of the lattice binary image, a second full-diversity lattice construction is described for sparse integer-check matrices in the context of iterative probabilistic decoding. Full diversity is theoretically proved in both cases. Computer simulation results also confirm that the proposed low-density lattices attain the maximal diversity order.

Original languageEnglish
Title of host publication2015 22nd International Conference on Telecommunications, ICT 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages277-282
Number of pages6
ISBN (Electronic)9781479980789
DOIs
Publication statusPublished - 1 Jan 2015
Event2015 22nd International Conference on Telecommunications, ICT 2015 - Sydney, Australia
Duration: 27 Apr 201529 Apr 2015

Other

Other2015 22nd International Conference on Telecommunications, ICT 2015
CountryAustralia
CitySydney
Period27/4/1529/4/15

Fingerprint

Decoding
Binary images
computer simulation
Maximum likelihood
Computer simulation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Networks and Communications
  • Signal Processing
  • Communication

Cite this

Punekar, M., & Boutros, J. (2015). Diversity of low-density lattices. In 2015 22nd International Conference on Telecommunications, ICT 2015 (pp. 277-282). [7124696] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICT.2015.7124696

Diversity of low-density lattices. / Punekar, Mayur; Boutros, Joseph.

2015 22nd International Conference on Telecommunications, ICT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. p. 277-282 7124696.

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

Punekar, M & Boutros, J 2015, Diversity of low-density lattices. in 2015 22nd International Conference on Telecommunications, ICT 2015., 7124696, Institute of Electrical and Electronics Engineers Inc., pp. 277-282, 2015 22nd International Conference on Telecommunications, ICT 2015, Sydney, Australia, 27/4/15. https://doi.org/10.1109/ICT.2015.7124696
Punekar M, Boutros J. Diversity of low-density lattices. In 2015 22nd International Conference on Telecommunications, ICT 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 277-282. 7124696 https://doi.org/10.1109/ICT.2015.7124696
Punekar, Mayur ; Boutros, Joseph. / Diversity of low-density lattices. 2015 22nd International Conference on Telecommunications, ICT 2015. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 277-282
@inproceedings{0d550dc42f144d02954789d338e98dda,
title = "Diversity of low-density lattices",
abstract = "We describe full-diversity constructions of real lattices defined by their integer-check matrix, i.e. the inverse of their generator matrix. In the first construction suited to maximum-likelihood decoding, these lattices are defined by sparse (low-density) or non-sparse integer-check matrices. Based on a special structure of the lattice binary image, a second full-diversity lattice construction is described for sparse integer-check matrices in the context of iterative probabilistic decoding. Full diversity is theoretically proved in both cases. Computer simulation results also confirm that the proposed low-density lattices attain the maximal diversity order.",
author = "Mayur Punekar and Joseph Boutros",
year = "2015",
month = "1",
day = "1",
doi = "10.1109/ICT.2015.7124696",
language = "English",
pages = "277--282",
booktitle = "2015 22nd International Conference on Telecommunications, ICT 2015",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - GEN

T1 - Diversity of low-density lattices

AU - Punekar, Mayur

AU - Boutros, Joseph

PY - 2015/1/1

Y1 - 2015/1/1

N2 - We describe full-diversity constructions of real lattices defined by their integer-check matrix, i.e. the inverse of their generator matrix. In the first construction suited to maximum-likelihood decoding, these lattices are defined by sparse (low-density) or non-sparse integer-check matrices. Based on a special structure of the lattice binary image, a second full-diversity lattice construction is described for sparse integer-check matrices in the context of iterative probabilistic decoding. Full diversity is theoretically proved in both cases. Computer simulation results also confirm that the proposed low-density lattices attain the maximal diversity order.

AB - We describe full-diversity constructions of real lattices defined by their integer-check matrix, i.e. the inverse of their generator matrix. In the first construction suited to maximum-likelihood decoding, these lattices are defined by sparse (low-density) or non-sparse integer-check matrices. Based on a special structure of the lattice binary image, a second full-diversity lattice construction is described for sparse integer-check matrices in the context of iterative probabilistic decoding. Full diversity is theoretically proved in both cases. Computer simulation results also confirm that the proposed low-density lattices attain the maximal diversity order.

UR - http://www.scopus.com/inward/record.url?scp=84938784158&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84938784158&partnerID=8YFLogxK

U2 - 10.1109/ICT.2015.7124696

DO - 10.1109/ICT.2015.7124696

M3 - Conference contribution

SP - 277

EP - 282

BT - 2015 22nd International Conference on Telecommunications, ICT 2015

PB - Institute of Electrical and Electronics Engineers Inc.

ER -