Optimal MSE DFE for multicarrier communication systems

Block transmission systems which consist of a precoder transmit-filterbank and a block receiver have been used to combat frequency-selective fading in wireless channels. Several authors have addressed the problem of decision feedback equalizer (DFE) receivers for such systems. We attempt this problem in a general framework and obtain the optimal solution for the minimum mean-square error (MMSE) DFE of finite complexity. We show that several previously derived results are special cases of our general solution.