Study of Constellation Labeling for Iteratively Decoded Bit-Interleaved Space-Time Coded Modulation with Some Space-Time Schemes

In this paper, we consider the design of constellation labeling for iteratively decoded bit-interleaved space-time coded modulation (BI-STCM-ID) over fast Rayleigh-fading MIMO channels. Based on the largest asymptotic coding gain criterion, we show that, for some known space-time coding scheme, such as threaded algebraic space-time code (TAST), linear dispersion space-time code (LDC), orthogonal space-time block code (OSTBC), V-BLAST, etc., multidimensional constellation labeling design can be reduced to maximizing the power mean of the complete set of squared Euclidean distances associated with all "error-free feedback" events in the constellation.