DMT of MMSE receiver in the frequency selective MIMO channel

We characterize the DMT of finite-length linear equalizers in the MIMO frequency-selective channel. We obtain the DMT in the case of cyclic-prefix transmission and provide an upper bound for the DMT in the case of zero-padding transmission. We also provide in-depth analysis for the diversity of the MMSE receiver in the fixed rate regime (i.e. zero multiplexing gain) in the cyclic-prefix transmission and obtain a lower bound on diversity. This gives better insight about the diversity of the MMSE in this regime since only upper bound exists in the literature. The MMSE diversity in this regime is function of the spectral efficiency, the data block length and the number of transmit and receive antennas.