Finite-SNR diversity-multiplexing tradeoff of linear dispersion coded MISO systems

In this paper, we study the diversity-multiplexing tradeoff (DMT) of linear dispersion (LD) coded multiple-input single-output (MISO) systems at finite-SNRs. The tradeoff curves provide a characterization of the achievable diversity and multiplexing gains for a given space-time block code (STBC) at SNRs encountered in practice. For this purpose, first, the outage probability is derived for a broad class of LD coded MISO channels in a simple and closed-form expression. Then, for the special case of the correlated Rayleigh fading MISO channel, the outage probability is presented in an exact closed-form. Using this expression, we present a closed-form solution for the DMT framework.