Title :
Optimal Space–Time Codes for the MIMO Amplify-and-Forward Cooperative Channel
Author :
Yang, Sheng ; Belfiore, Jean-Claude
Author_Institution :
Dept. of Commun. & Electron., Ecole Nat. Superieure des Telecommun., Paris
Abstract :
In this work, we extend the nonorthogonal amplify-and-forward (NAF) cooperative diversity scheme to the multiple-input 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 4times4 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
Keywords :
MIMO communication; antenna arrays; block codes; channel coding; diversity reception; fading channels; space-time codes; DMT; Golden code; NVD; Perfect code; antenna array; diversity-multiplexing tradeoff; explicit algebraic construction; half-duplex MIMO NAF fading cooperative diversity channel; multiple-input multiple-output system; nonorthogonal amplify-forward scheme; nonvanishing determinant criterion; space-time block codes; Antenna arrays; Block codes; Decoding; Diversity methods; Fading; MIMO; OFDM modulation; Protocols; Rayleigh channels; Relays; Amplify-and-forward (AF); cooperative diversity; diversity-multiplexing tradeoff (DMT); multiple-input multiple- output (MIMO); nonvanishing determinant (NVD); relay channel; space–time block code;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.888998
