A higher-order statistics based minimal transmit can be diagonalized by the effective channel matrix, defined redundancy space-time FIR precoder-blind equalizer is proposed. as the product between the virtual channel matrix g(z) andFor most block based transmission systems such as OFDM, the whitening matrix of the received signal, which shall be a long guard period, which is longer than or equal to the channel order, is required to avoid inter-block interference. This ined-in thesequ e. T ispoety allows the einaion of guard period is a type of redundancy which consumes valuable inter-channel interference. Simulation results will show that bandwidth. The blind equalizer that we have proposed can the proposed HOS algorithm is robust against channel order blindly equalize the received precoded signal without the long overestimation and it has good BER performance with an guard period requirement. Simulation results have shown that increase in the number of received symbols used in the blind the BER performance gain increases as more received data are used to design the equalizer which allows accurate estimation of equalizer. the cumulant matrices. The proposed algorithm was also shown In Section II, we shall give a description of the space-time to be robust toward channel order overestimation. precoder-equalizer system. This is followed by a description of the proposed blind equalizer design in Section III. Simulation