Optimization of space-time block codes based on multidimensional super-set partitioning

This letter presents an optimized space-time block code constructed by using multidimensional super-set partitioning (STBC-MDSP). The theoretical upper bound on the pairwise probability of STBC-MDSP is derived, and based on it, a code design criterion is proposed. It is shown that to optimize the performance of STBC-MDSP, one should maximize the sum square distance (SSD) in each level of super-set partitioning. Simulation results show that the proposed scheme is superior by about 2.5 and 1.5 dB to the Alamouti scheme and Tarokh-Seshadri-Calderbank (TSC) code with the same number of states, respectively, at the frame error rate (FER) of 10^-2 over quasi-static fading channels.