Quaternionic lattices for space-time coding

J. C. Belfiore; G. Rekaya

doi:10.1109/ITW.2003.1216745

Quaternionic lattices for space-time coding

J. C. Belfiore
, G. Rekaya

Ecole Nat. Sup. des Tklkcommunications

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We propose, here, an algebraic framework for studying coherent space-time codes, based on arithmetic lattices on central simple algebras. For two transmit antennas, this algebra is called a quaternion algebra. For this reason, we call these lattices quaternionic lattices. The design criterion is the one described in [l].

Original language	English
Title of host publication	Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	267-270
Number of pages	4
ISBN (Electronic)	0780377990, 9780780377998
DOIs	https://doi.org/10.1109/ITW.2003.1216745
Publication status	Published - 1 Jan 2003
Externally published	Yes
Event	2003 IEEE Information Theory Workshop, ITW 2003 - Paris, France Duration: 31 Mar 2003 → 4 Apr 2003

Publication series

Name	Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003

Conference

Conference	2003 IEEE Information Theory Workshop, ITW 2003
Country/Territory	France
City	Paris
Period	31/03/03 → 4/04/03

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10.1109/ITW.2003.1216745

Cite this

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title = "Quaternionic lattices for space-time coding",

abstract = "We propose, here, an algebraic framework for studying coherent space-time codes, based on arithmetic lattices on central simple algebras. For two transmit antennas, this algebra is called a quaternion algebra. For this reason, we call these lattices quaternionic lattices. The design criterion is the one described in [l].",

author = "Belfiore, \{J. C.\} and G. Rekaya",

note = "Publisher Copyright: {\textcopyright} 2003 IEEE.; 2003 IEEE Information Theory Workshop, ITW 2003 ; Conference date: 31-03-2003 Through 04-04-2003",

year = "2003",

month = jan,

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doi = "10.1109/ITW.2003.1216745",

language = "English",

series = "Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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Belfiore, JC & Rekaya, G 2003, Quaternionic lattices for space-time coding. in Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003., 1216745, Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003, Institute of Electrical and Electronics Engineers Inc., pp. 267-270, 2003 IEEE Information Theory Workshop, ITW 2003, Paris, France, 31/03/03. https://doi.org/10.1109/ITW.2003.1216745

Quaternionic lattices for space-time coding. / Belfiore, J. C.; Rekaya, G.
Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003. Institute of Electrical and Electronics Engineers Inc., 2003. p. 267-270 1216745 (Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Rekaya, G.

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N2 - We propose, here, an algebraic framework for studying coherent space-time codes, based on arithmetic lattices on central simple algebras. For two transmit antennas, this algebra is called a quaternion algebra. For this reason, we call these lattices quaternionic lattices. The design criterion is the one described in [l].

AB - We propose, here, an algebraic framework for studying coherent space-time codes, based on arithmetic lattices on central simple algebras. For two transmit antennas, this algebra is called a quaternion algebra. For this reason, we call these lattices quaternionic lattices. The design criterion is the one described in [l].

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DO - 10.1109/ITW.2003.1216745

M3 - Conference contribution

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T3 - Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003

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BT - Proceedings - 2003 IEEE Information Theory Workshop, ITW 2003

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2003 IEEE Information Theory Workshop, ITW 2003

Y2 - 31 March 2003 through 4 April 2003

ER -

Quaternionic lattices for space-time coding

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