Generally explicit space-time codes with nonvanishing determinants for arbitrary numbers of transmit antennas

Hua Chieh Li; Ming Yang Chen

doi:10.1109/TIT.2008.2009795

Generally explicit space-time codes with nonvanishing determinants for arbitrary numbers of transmit antennas

Hua Chieh Li, Ming Yang Chen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Nonvanishing determinants have emerged as an attractive criterion enabling a space-time code achieve the optimal diversity-multiplexing gains tradeoff. It seems that cyclic division algebras play the most crucial role in designing a space-time code with nonvanishing determinants. In this paper, we explicitly construct space-time codes for arbitrary numbers of transmit antennas that achieve nonvanishing determinants and the optimal diversity-multiplexing gains tradeoff over Z [i]. Unlike previous methods usually arising a field compositum for two or more fields, our scheme, which only requires one simple extension, constitutes a much more efficient and feasible advancement whether in theory or practice.

Original language	English
Pages (from-to)	557-563
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	55
Issue number	2
DOIs	https://doi.org/10.1109/TIT.2008.2009795
Publication status	Published - 2009

Keywords

Field extensions
Galois theory
Optimal diversitymultiplexing gains tradeoff
Space-time codes

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

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abstract = "Nonvanishing determinants have emerged as an attractive criterion enabling a space-time code achieve the optimal diversity-multiplexing gains tradeoff. It seems that cyclic division algebras play the most crucial role in designing a space-time code with nonvanishing determinants. In this paper, we explicitly construct space-time codes for arbitrary numbers of transmit antennas that achieve nonvanishing determinants and the optimal diversity-multiplexing gains tradeoff over Z [i]. Unlike previous methods usually arising a field compositum for two or more fields, our scheme, which only requires one simple extension, constitutes a much more efficient and feasible advancement whether in theory or practice.",

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note = "Funding Information: Manuscript received August 30, 2005; revised September 24, 2008. Current version published February 04, 2009. This work was supported by the National Science Council, Taiwan, under Contract NSC 95-2115-M-003-006-MY3. H.-C. Li is with the Department of Mathematics, National Taiwan Normal University, Taipei 116, Taiwan (e-mail: li@math.ntnu.edu.tw). M.-Y. Chen is with the Department of Electrical Engineering, Stanford University, Stanford, CA 94305 USA (e-mail: chenmy@stanford.edu). Communicated by B. S. Rajan, Associate Editor for Coding Theory. Digital Object Identifier 10.1109/TIT.2008.2009795",

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AU - Chen, Ming Yang

N1 - Funding Information: Manuscript received August 30, 2005; revised September 24, 2008. Current version published February 04, 2009. This work was supported by the National Science Council, Taiwan, under Contract NSC 95-2115-M-003-006-MY3. H.-C. Li is with the Department of Mathematics, National Taiwan Normal University, Taipei 116, Taiwan (e-mail: li@math.ntnu.edu.tw). M.-Y. Chen is with the Department of Electrical Engineering, Stanford University, Stanford, CA 94305 USA (e-mail: chenmy@stanford.edu). Communicated by B. S. Rajan, Associate Editor for Coding Theory. Digital Object Identifier 10.1109/TIT.2008.2009795

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N2 - Nonvanishing determinants have emerged as an attractive criterion enabling a space-time code achieve the optimal diversity-multiplexing gains tradeoff. It seems that cyclic division algebras play the most crucial role in designing a space-time code with nonvanishing determinants. In this paper, we explicitly construct space-time codes for arbitrary numbers of transmit antennas that achieve nonvanishing determinants and the optimal diversity-multiplexing gains tradeoff over Z [i]. Unlike previous methods usually arising a field compositum for two or more fields, our scheme, which only requires one simple extension, constitutes a much more efficient and feasible advancement whether in theory or practice.

AB - Nonvanishing determinants have emerged as an attractive criterion enabling a space-time code achieve the optimal diversity-multiplexing gains tradeoff. It seems that cyclic division algebras play the most crucial role in designing a space-time code with nonvanishing determinants. In this paper, we explicitly construct space-time codes for arbitrary numbers of transmit antennas that achieve nonvanishing determinants and the optimal diversity-multiplexing gains tradeoff over Z [i]. Unlike previous methods usually arising a field compositum for two or more fields, our scheme, which only requires one simple extension, constitutes a much more efficient and feasible advancement whether in theory or practice.

KW - Field extensions

KW - Galois theory

KW - Optimal diversitymultiplexing gains tradeoff

KW - Space-time codes

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Generally explicit space-time codes with nonvanishing determinants for arbitrary numbers of transmit antennas

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Keywords

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