\newtheorem{lem}{\it Lemma}
\begin{lem}
For any unitary precoder $\mathbf{T}$, the $k$th subchannel SNR of
linearly precoded ST-OFDM systems $\eta_{T}(k)$ is bounded by
\begin{eqnarray}
\min_j \eta_{ofdm}(j) \leq \eta_{T}(k) \leq \max_j
\eta_{ofdm}(j)\nonumber
\end{eqnarray}
\end{lem}
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