Max-rate MIMO broadcast DFE transceiver design under power and SER constraints

This paper studies the joint design problem of a decision feedback equalizer (DFE) transceiver and bit allocation for multi-input multi-output (MIMO) broadcast channels. The design problem is formulated as a transmission rate maximization problem for given power and symbol error rate (SER) specifications. The optimal bit allocation is derived. Under some conditions, to be described later, there exists a particular class of joint triangularization (JT) which can be applied to obtain the optimal broadcast DFE transceiver for the max-rate problem with quality of service (QoS) constraints. The optimal joint design is called the maximum rate JT broadcast DFE transceiver (MRJT). A suboptimal design, the rate maximized QR broadcast DFE transceiver (RMQR), which is always possible, is also proposed. In the simulations, several numerical results are given to demonstrate the bit rate performance of the proposed MRJT and RMQR broadcast DFE transceivers under different QoS specifications.