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

Roope Vehkalahti; Hsiao Feng Lu

doi:10.1109/ISIT.2011.6034091

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

Roope Vehkalahti^*, Hsiao Feng Lu

^*Corresponding author for this work

Not published at Aalto University

Research output: Chapter in Book/Report/Conference proceeding › Conference article in proceedings › Scientific › peer-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 language	English
Title of host publication	2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
Publisher	IEEE
Pages	2831-2835
Number of pages	5
ISBN (Print)	9781457705953
DOIs	https://doi.org/10.1109/ISIT.2011.6034091
Publication status	Published - 26 Oct 2011
MoE publication type	A4 Conference publication
Event	IEEE International Symposium on Information Theory - St. Petersburg, Russian Federation Duration: 31 Jul 2011 → 5 Aug 2011

Conference

Conference	IEEE International Symposium on Information Theory
Abbreviated title	ISIT
Country/Territory	Russian Federation
City	St. Petersburg
Period	31/07/2011 → 05/08/2011

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10.1109/ISIT.2011.6034091

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title = "An algebraic look into MAC-DMT of lattice space-time codes",

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).",

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doi = "10.1109/ISIT.2011.6034091",

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PY - 2011/10/26

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N2 - 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).

AB - 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).

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PB - IEEE

T2 - IEEE International Symposium on Information Theory

Y2 - 31 July 2011 through 5 August 2011

ER -

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

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