Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 53, Issue 2, Pages 647-663Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2006.888998
Keywords
amplify-and-forward (AF); cooperative diversity; diversity-multiplexing tradeoff (DMT); multiple-input multiple-output (MIMO); nonvanishing determinant (NVD); relay channel; space-time block code
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In this work, we extend the nonorthogonal amplify-and-forward (NAF) cooperative diversity scheme to the multiple-inpute multiple-output (MIMO) channel. A family of space-time block codes for a half-duplex MIMO NAF fading cooperative channel with N relays is constructed. The code construction is based on the nonvanishing determinant (NVD) criterion and is shown to achieve the optimal diversity-multiplexing tradeoff (DMT) of the channel. We provide a general explicit algebraic construction, followed by some examples. In particular, in the single-relay case, it is proved that the Golden code and the 4 x 4 Perfect code are optimal for the single-antenna and two-antenna cases, respectively. Simulation results reveal that a significant gain (up to 10 dB) can be obtained with the proposed codes, especially in the single-antenna case.
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