A LARGE SYSTEM ANALYSIS OF WEIGHTED SUM RATE MAXIMIZATION OF SINGLE STREAM MIMO INTERFERENCE BROADCAST CHANNELS UNDER LINEAR PRECODING

The weighted sum rate (WSR) maximizing linear precoding algorithm is studied in large correlated single stream multiple-input multiple-output (MIMO) interference broadcast channels (IBC). We consider an iterative WSR design which exploits the connection with Weighted sum Minimum Mean Squared Error (WMMSE) designs as in [1], [2], focusing on the version in [1]. We propose an large system approximation of the signal-to-interference plus noise ratio (SINR) at every iteration. The large system approximation of the SINR depends only on the slow fading terms or second order statistics of the channels. In this work, the large system approximation is used to establish a property of the Multi-users single stream MIMO communications. Simulations show that the approximations are accurate.