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 |
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Pages (from-to) | 557-563 |
Number of pages | 7 |
Journal | IEEE Transactions on Information Theory |
Volume | 55 |
Issue number | 2 |
DOIs | |
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