Towards a complete DMT classification of division algebra codes

Laura Luzzi*, Roope Vehkalahti, Alexander Gorodnik

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

1 Citation (Scopus)

Abstract

This work aims at providing new lower bounds for the diversity-multiplexing gain trade-off of a general class of lattice codes based on division algebras.

In the low multiplexing gain regime, some bounds were previously obtained from the high signal-to-noise ratio estimate of the union bound for the pairwise error probabilities. Here these results are extended to cover a larger range of multiplexing gains. The improvement is achieved by using ergodic theory in Lie groups to estimate the behavior of the sum arising from the union bound.

In particular, the new bounds for lattice codes derived from Q-central division algebras suggest that these codes can be divided into two classes based on their Hasse invariants at the infinite places. Algebras with ramification at the infinite place seem to provide a better diversity-multiplexing gain trade-off.

Original languageEnglish
Title of host publicationProceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PublisherIEEE
Pages2993-2997
Number of pages5
Volume2016-August
ISBN (Electronic)9781509018062
DOIs
Publication statusPublished - 2016
MoE publication typeA4 Article in a conference publication
EventIEEE International Symposium on Information Theory - Barcelona, Spain
Duration: 10 Jul 201615 Jul 2016
http://www.isit2016.org/

Publication series

NameIEEE International Symposium on Information Theory
PublisherIEEE

Conference

ConferenceIEEE International Symposium on Information Theory
Abbreviated titleISIT
CountrySpain
CityBarcelona
Period10/07/201615/07/2016
Internet address

Keywords

  • SPACE-TIME CODES
  • DIVERSITY
  • TRADEOFF
  • ORBITS
  • POINTS

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