Optimal MMSE transmission using block encoder/decoder and DFE

The design of an optimum (in the minimum mean-squared error sense) block encoded communication system is considered. It is shown that the optimal overall system consists of uncoupled channels in parallel, for arbitrary input data and additive noise characteristics. Some implications of this result for the capacity of the optimized system are highlighted. An adaptation scheme for joint optimization of the block encoder and decoder together with a block decision feedback equalizer (DFE) for elimination of interblock interference is proposed. The convergence analysis of the adaptive algorithm is presented