Feasible rate region of the MIMO broadcast channel with linear transceivers

Based on recent results for the vector broadcast channel (BC), the feasibility of the quality of service (QoS) optimization in the multiple-input multiple-output (MIMO) BC with linear precoders and linear equalizers is investigated. Based on the observation that only single data stream transmission must be considered for feasibility, we find that the test for feasibility is the comparison of the sum of the transformed rate requirements with a bound given by the difference of the number of users and the degrees of freedom available at the BC transmitter, as long as the channel realization fulfills some regularity condition.