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Rate adaptation for a single-user MISO networks can be implemented as follows:  \begin{enumerate}  \item Offline-designed quantizers for the transmitter's rate and transmit beamforming vectors are known at the transmitter's and receiver's sides, denoted by $\mathcal{Q}_{R}$ and $\mathcal{Q}_{b}$.  \item The receiver obtains the channel vector ${\pmb h}$, picks the appropriate rate and transmit beamforming vector from $\mathcal{C}_R$ determined by $\mathcal{Q}_R$  and $\mathcal{C}_b$ $\mathcal{Q}_b$,  and sends their indices to the transmitter. \end{enumerate}  Let $\mathcal{C}_{R} = \left\{R_0 = 0, R_1, R_2, \ldots, R_{2^{B_1}-1}\right\}$. The selected rate for the transmitter will be $R_{s}$ such that $R_{s} \leq \left|\left|\pmb h\right|\right|^2 \leq R_{s+1}$, where $0 \leq s\leq 2^{B_1}-1$. Let $\mathcal{C}_{b}$ for the transmit beamforming vectors be a infinite-cardinality