An algebraic look into MAC-DMT of lattice space-time codes

Roope Vehkalahti*, Hsiao Feng Lu

*Corresponding author for this work

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

5 Citations (Scopus)

Abstract

In this paper we are concentrating on the diversity-multiplexing gain trade-off (DMT) of some space-time lattice codes. First we give a DMT bound for lattice codes having restricted dimension. We then recover the well known results of the DMT of algebraic number field codes and the Alamouti code by using the union bound and see that these codes do achieve the previously mentioned bound. During our analysis interesting connections to the Dedekind's zeta-function and to Dirichlet's unit theorem are revealed. Finally we prove that both the number field codes and Alamouti code are in some sense optimal codes in the multiple access channel (MAC).

Original languageEnglish
Title of host publication2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
PublisherIEEE
Pages2831-2835
Number of pages5
ISBN (Print)9781457705953
DOIs
Publication statusPublished - 26 Oct 2011
MoE publication typeA4 Article in a conference publication
EventIEEE International Symposium on Information Theory - St. Petersburg, Russian Federation
Duration: 31 Jul 20115 Aug 2011

Conference

ConferenceIEEE International Symposium on Information Theory
Abbreviated titleISIT
CountryRussian Federation
CitySt. Petersburg
Period31/07/201105/08/2011

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