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System Model and Parameters

With uncorrelated noise and the received UE signal components, the Signal to Interference Noise Ratio (SINR) is \begin{equation} \label{gamma_ij} \gamma_{ij}= \frac{p_j \mathbf{u}^H_{ij}\mathbf{h}_{ij}\mathbf{h}^H_{ij}\mathbf{u}_{ij}}{\sum_{k\neq j} p_k \mathbf{u}^H_{ij}\mathbf{h}_{ik}\mathbf{h}^H_{ik}\mathbf{u}_{ij} + \sigma_i^2}. \end{equation} Minimum Mean Squared Error (MMSE) Receive Beamforming Vectors are considered. It is given as \begin{equation} \label{mmse_matrices} \mathbf u_{ij} =\left( \sigma^2_i\mathbf{I}_{N_r} + \sum_{k=1, k\neq j}^N p_k\mathbf{h}_{ik}\mathbf{h}_{ik}^H \right)^{-1} \mathbf{h}_{ij}. \end{equation} UE Rate \begin{equation} \label{rate_ij} r_{ij}=\log_{2}(1+\gamma_{ij}) \quad [bits/sec/Hz]. \end{equation}