STBCs using capacity achieving designs from cyclic division algebras

It is known that the Alamouti code is the only complex orthogonal design (COD) which achieves capacity and that too for the case of two transmit and one receive antenna only. Damen et al., gave a design for 2 transmit antennas, which achieves capacity for any number of receive antennas, calling it an information lossless STBC. In this paper, we construct capacity achieving designs using cyclic division algebras for arbitrary number of transmit and receive antennas. For the STBCs obtained using these designs we present simulation results for those number of transmit and receive antennas for which Damen et al. also give and show that our STBCs perform better than their’s.