Detection with embedded known symbols: optimal symbol placement and equalization

The detection of a data sequence with embedded known symbols is considered. For a class of symbol-by-symbol decision feedback receivers, known symbol distributions optimal with respect to the criterion of average mean square error (A-MSE) are presented. Optimal design of the decision feedback receiver is also obtained. Simulation results show that, compared to the performance with conventional symbol placement strategy, considerable gain can be obtained by the joint optimization of symbol placement and equalizer.