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

^*Tämän työn vastaava kirjoittaja

Ei julkaistu Aalto-yliopiston affiliaatiolla

University of Turku
National Yang Ming Chiao Tung University

Tutkimustuotos: Artikkeli kirjassa/konferenssijulkaisussa › Conference article in proceedings › Scientific › vertaisarvioitu

5 Sitaatiot (Scopus)

Abstrakti

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).

Alkuperäiskieli	Englanti
Otsikko	2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011
Kustantaja	IEEE
Sivut	2831-2835
Sivumäärä	5
ISBN (painettu)	9781457705953
DOI - pysyväislinkit	https://doi.org/10.1109/ISIT.2011.6034091
Tila	Julkaistu - 26 lokak. 2011
OKM-julkaisutyyppi	A4 Artikkeli konferenssijulkaisussa
Tapahtuma	IEEE International Symposium on Information Theory - St. Petersburg, Venäjä Kesto: 31 heinäk. 2011 → 5 elok. 2011

Conference

Conference	IEEE International Symposium on Information Theory
Lyhennettä	ISIT
Maa/Alue	Venäjä
Kaupunki	St. Petersburg
Ajanjakso	31/07/2011 → 05/08/2011

Pääsy asiakirjaan

10.1109/ISIT.2011.6034091

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Link to publication in Scopus

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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).",

author = "Roope Vehkalahti and Lu, \{Hsiao Feng\}",

year = "2011",

month = oct,

day = "26",

doi = "10.1109/ISIT.2011.6034091",

language = "English",

isbn = "9781457705953",

pages = "2831--2835",

booktitle = "2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011",

publisher = "IEEE",

address = "United States",

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AU - Lu, Hsiao Feng

PY - 2011/10/26

Y1 - 2011/10/26

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).

UR - https://www.scopus.com/pages/publications/80054829734

U2 - 10.1109/ISIT.2011.6034091

DO - 10.1109/ISIT.2011.6034091

M3 - Conference article in proceedings

AN - SCOPUS:80054829734

SN - 9781457705953

SP - 2831

EP - 2835

BT - 2011 IEEE International Symposium on Information Theory Proceedings, ISIT 2011

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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Conference

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