 simplified as $$\begin{aligned} \label{E:SINR0-0}   &\mathtt{SINR}_{k,FD} =\\   &\frac{|\mathbf{h}_{Pk}^H\mathbf{w}_{d,k}|^0}{ |\bar{h}_{Mk}^\ast \!+\! \mathbf{h}_{Pk}^H \mathbf{W}_f \bar{\mathbf{h}}_{MP} e^{-j\phi}|^0  \!+\! \|\mathbf{h}_{Pk}^H \mathbf{W}_f\|^0\!(P_