\appendix

\section{Proximal Decoding Time Complexity}%
\label{app:Proximal Decoding Time Complexity}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}[t]
    \frametitle{Proximal Decoding: Time Complexity}
   
    \begin{figure}[H]
        \centering
    
        \begin{tikzpicture}[scale=0.7]
            \begin{axis}[
                grid=both,
                xlabel={$n$}, ylabel={time per frame (s)},
                legend style={at={(0.05,0.77)},anchor=south west},
            ]
                \addplot[only marks, red] table [col sep=comma,
                                             x=n, y=spf] {res/fps_vs_n_proximal.csv};
                \addlegendentry{proximal}

                \addplot[only marks, blue] table [col sep=comma,
                                             x=n, y=spf] {res/fps_vs_n_hybrid.csv};
                \addlegendentry{hybrid prox \& ML ($\SI{12}{\bit}$)}
            \end{axis}
        \end{tikzpicture}
    
        \caption{Time Complexity of Proximal Decoding and Modified Implementation}
        \label{fig:fps_vs_n}
    \end{figure}
    
\end{frame}
