Calculus for Multiuser MIMO Performance Measures

In this paper, we review and combine recent results from multiuser MIMO MSE-based performance optimization and from concave and convex interference function calculus. First, a generalized MIMO MAC weighted MSE-based performance measure is developed using matrix-monotone functions. Next, the connection to interference functions is established. The representation of convex and concave interference functions are reviewed. Finally, the transition of a multiuser MIMO performance measure to the interference functions in terms of weighted sum optimization is shown.