Diversity-multiplexing trade-off of linear dispersion coded multi-input-multi-output systems

In this study, the authors study the diversity-multiplexing trade-off (DMT) of multi-input-multi-output (MIMO) systems in which linear dispersion (LD) codes are used. They first focus on an LD-coded 2 x 2 MIMO systems at the high signal-to-noise ratio (SNR) regime. By using the joint eigenvalue density, the outage probability is presented in a very compact expression, which establishes the DMT framework at this regime. Simulation results show that the derived expression for the outage probability is sufficiently accurate at high SNR regimes but less accurate in the transition region. Finally, for the special case of multi-input-single-output, they derive both the outage probability and the DMT framework inexact and closed form formulas at all SNRs, including finite SNRs.