262 lines
12 KiB
TeX
262 lines
12 KiB
TeX
\appendix
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\section{Supplementary Slides}%
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\label{app:Supplementary Slides}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{Proximal Decoding: Choice of $\gamma$}
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\captionsetup[subfigure]{font=footnotesize}
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\hspace*{-0.4cm}
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\begin{minipage}[c]{0.9\textwidth}
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\centering
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\begin{figure}[H]
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\vspace*{-0.7cm}
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\centering
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*, solid]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_963965.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_963965.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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%{res/hybrid/2d_ber_fer_dfr_963965.csv};
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{res/admm/ber_2d_963965.csv};
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\addplot[Black, line width=1pt, mark=*]
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table [col sep=comma, x=SNR, y=FER,]
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{res/generic/fer_ml_9633965.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=96, k=48$
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\cite[\text{96.3.965}]{mackay_enc}}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05},
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discard if gt={SNR}{5.5}]
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{res/proximal/2d_ber_fer_dfr_20433484.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_20433484.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={mu}{3.0},
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discard if gt={SNR}{5.5}]
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{res/admm/ber_2d_20433484.csv};
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\addplot[Black, line width=1pt, mark=*]
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table [col sep=comma, x=SNR, y=FER,
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discard if gt={SNR}{5.5}]
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{res/generic/fer_ml_20433484.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=204, k=102$
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\cite[\text{204.33.484}]{mackay_enc}}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_40833844.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_40833844.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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{res/admm/ber_2d_40833844.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=408, k=204$
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\cite[\text{408.33.844}]{mackay_enc}}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_bch_31_26.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_bch_31_26.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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{res/admm/ber_2d_bch_31_26.csv};
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\addplot[Black, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma,
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discard if gt={SNR}{5.5},
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discard if lt={SNR}{1},
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]
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{res/generic/fer_ml_bch_31_26.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{BCH code with $n=31, k=26$}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_20455187.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/hybrid/2d_ber_fer_dfr_20455187.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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{res/admm/ber_2d_20455187.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{$\left( 5, 10 \right)$-regular LDPC code with $n=204, k=102$
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\cite[\text{204.55.187}]{mackay_enc}}
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\end{subfigure}%
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\begin{subfigure}[t]{0.33\textwidth}
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\centering
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[
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grid=both,
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xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
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ymode=log,
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ymax=1.5, ymin=8e-5,
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width=1.2\textwidth,
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height=0.85\textwidth,
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]
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\addplot[RedOrange, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
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{res/proximal/2d_ber_fer_dfr_pegreg252x504.csv};
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\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
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table [x=SNR, y=FER, col sep=comma,
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discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
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{res/hybrid/2d_ber_fer_dfr_pegreg252x504.csv};
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\addplot[NavyBlue, line width=1pt, mark=*]
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table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
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{res/admm/ber_2d_pegreg252x504.csv};
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\end{axis}
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\end{tikzpicture}
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\vspace*{-1mm}
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\caption{LDPC code (progressive edge growth construction) with $n=504, k=252$
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\cite[\text{PEGReg252x504}]{mackay_enc}}
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\end{subfigure}%
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\end{figure}
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\end{minipage}%
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\begin{minipage}[c]{0.1\textwidth}
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\centering
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\begin{figure}
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\centering
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\vspace*{-1.2cm}
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\hspace*{2mm}
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\begin{tikzpicture}[scale=0.8]
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\begin{axis}[hide axis,
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xmin=10, xmax=50,
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ymin=0, ymax=0.4,
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legend columns=1,
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legend style={draw=white!15!black}]
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\addlegendimage{RedOrange, line width=1pt, mark=*, solid}
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\addlegendentry{Proximal}
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\addlegendimage{RedOrange, line width=1pt, mark=triangle*, densely dashed}
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\addlegendentry{Improved}
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\addlegendimage{NavyBlue, line width=1pt, mark=*}
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\addlegendentry{ADMM}
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% \addlegendimage{RoyalPurple, line width=1pt, mark=*}
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% \addlegendentry{BP}
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\addlegendimage{Black, line width=1pt, mark=*}
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\addlegendentry{ML}
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% \addlegendimage{PineGreen, line width=1pt, mark=triangle*, solid}
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% \addlegendentry{ML}
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\end{axis}
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\end{tikzpicture}
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\end{figure}
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\end{minipage}
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\end{frame}
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