Performance of MIMO single-carrier frequency domain zero-forcing equalizer

Single-carrier frequency domain equalization (SC-FDE) has many advantages, but in the MIMO frequency selective channel its performance has not been fully characterized and several important open questions remain. This paper analyzes the diversity of zero-forcing MIMO SC-FDE. It is shown that the diversity of the ZF receiver over this channel is the same as that of the ZF receiver in the frequency-flat channel. To improve the performance, a lattice-reduction (LR) aided ZF equalization is proposed and analyzed. It is shown that the full spatial and temporal diversity is achieved by he LR-aided ZF receiver for the uncoded transmission. This is the first analytical proof for the LR-aided equalization for MIMO frequency selective channel.