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

Authors:
Hua-Chieh Li;Ming-Yang Chen
Affiliations:
Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan;Department of Electrical Engineering, Stanford University, Stanford, CA
Venue:
IEEE Transactions on Information Theory
Year:
2009

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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.