Space-time trellis codes with linear transformation for fast fading channels

A precoded space time coding scheme-space time trellis code with linear transformation (STTC-LT) is presented in this letter. The upper bound on pairwise error probability (PEP) is derived, and a new design criterion is also proposed. It is shown that the performance of STTC-LT over fast Rayleigh fading channels depends on the weighted square product distance (WSPD). Simulation results are provided for QPSK signal sets. They show that the proposed scheme is superior by about 8 dB and 10 dB to the conventional beamforming and Tarokh-Seshadri-Calderbank codes (TSC) at the bit error rate (BER) of 10e-4 over fast fading channels.