Joint MAX-SER-minimized DFE transceiver design with bit allocation for broadcast channels

This paper addresses the joint design problem of bit allocation and decision feedback equalizer (DFE) transceiver for multi-input multi-output (MIMO) broadcast (BC) channels. Channel state information (CSI) is assumed to be available both at the transmitter and receivers. The transceiver is designed by minimizing maximum symbol error rate (MAX-SER) under the total power and bitrate constraints. The bit allocation, precoder, feed-forward matrices and feedback matrices are the optimization variables. For the two-user case, a particular class of joint triangularization (JT) can be applied to obtain the optimal design for the problem, which is the optimal JT minimum Max-SER BC DFE transceiver (JTMMS). For arbitrary number of users, the suboptimal design, the QR BC DFE transceiver with bit allocation, is discussed. In the simulations, the Max-SER and average BER performance of the proposed systems are investigated.