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Generally Explicit Space–Time Codes With Nonvanishing Determinants for Arbitrary Numbers of Transmit Antennas

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2 Author(s)
Hua-Chieh Li ; Dept. of Math., Nat. Taiwan Normal Univ., Taipei ; Ming-Yang Chen

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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Information Theory, IEEE Transactions on  (Volume:55 ,  Issue: 2 )