QPSK super-orthogonal space-time trellis codes with 3 and 4 transmit antennas

In this paper, we propose, for the first time, QPSK super-orthogonal space-time trellis codes (SO-STTCs) with 3 and 4 transmit antennas and with more than 4 states. In order to decrease drastically the search time of the best SO-STTCs with 3 and 4 transmit antennas, a matrix representation of codes and an adaptation of the coset partitioning are proposed. Thus, we obtain good SO-STTCs with more than 2 transmit antennas. We demonstrate by simulations that the new proposed SO-STTCs outperform the best corresponding STTCs.