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Andreas Tsouchlos 2023-04-19 10:35:22 +02:00
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latex/presentations/final/sections/appendix.tex
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@ -9,7 +9,7 @@
\captionsetup[subfigure]{font=footnotesize}
\hspace*{-0.4cm}
\hspace*{-0.5cm}
\begin{minipage}[c]{0.9\textwidth}
\centering
@ -21,29 +21,32 @@
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
ymode=log,
ymax=1.5, ymin=8e-5,
width=1.2\textwidth,
height=0.85\textwidth,
]
\begin{axis}[view={75}{30},
zmode=log,
xlabel={$E_b / N_0$ (dB)},
ylabel={$\gamma$},
zlabel={BER},
width=1.2\textwidth,
height=0.85\textwidth,
legend pos=outer north east,]
\addplot[RedOrange, line width=1pt, mark=*, solid]
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
{res/proximal/2d_ber_fer_dfr_963965.csv};
\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
table [x=SNR, y=FER, col sep=comma,
discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
{res/hybrid/2d_ber_fer_dfr_963965.csv};
\addplot[NavyBlue, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
%{res/hybrid/2d_ber_fer_dfr_963965.csv};
{res/admm/ber_2d_963965.csv};
\addplot[Black, line width=1pt, mark=*]
table [col sep=comma, x=SNR, y=FER,]
{res/generic/fer_ml_9633965.csv};
\addplot3[surf,
mesh/rows=17, mesh/cols=10,
colormap/viridis] table [col sep=comma,
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_963965.csv};
\addplot3[NavyBlue, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.01},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_963965.csv};
\addplot3[RedOrange, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.05},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_963965.csv};
\addplot3[ForestGreen, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.15},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_963965.csv};
\end{axis}
\end{tikzpicture}
@ -56,33 +59,32 @@
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
ymode=log,
ymax=1.5, ymin=8e-5,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[RedOrange, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma,
discard if not={gamma}{0.05},
discard if gt={SNR}{5.5}]
{res/proximal/2d_ber_fer_dfr_20433484.csv};
\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
table [x=SNR, y=FER, col sep=comma,
discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
\addplot[NavyBlue, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma,
discard if not={mu}{3.0},
discard if gt={SNR}{5.5}]
{res/admm/ber_2d_20433484.csv};
\addplot[Black, line width=1pt, mark=*]
table [col sep=comma, x=SNR, y=FER,
discard if gt={SNR}{5.5}]
{res/generic/fer_ml_20433484.csv};
\begin{axis}[view={75}{30},
zmode=log,
xlabel={$E_b / N_0$ (dB)},
ylabel={$\gamma$},
zlabel={BER},
width=1.2\textwidth,
height=0.85\textwidth,
legend pos=outer north east,]
\addplot3[surf,
mesh/rows=17, mesh/cols=14,
colormap/viridis] table [col sep=comma,
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_20433484.csv};
\addplot3[NavyBlue, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.01},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_20433484.csv};
\addplot3[RedOrange, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.05},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_20433484.csv};
\addplot3[ForestGreen, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.15},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_20433484.csv};
\end{axis}
\end{tikzpicture}
@ -95,25 +97,32 @@
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
ymode=log,
ymax=1.5, ymin=8e-5,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[RedOrange, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
{res/proximal/2d_ber_fer_dfr_40833844.csv};
\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
table [x=SNR, y=FER, col sep=comma,
discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
{res/hybrid/2d_ber_fer_dfr_40833844.csv};
\addplot[NavyBlue, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
{res/admm/ber_2d_40833844.csv};
\begin{axis}[view={75}{30},
zmode=log,
xlabel={$E_b / N_0$ (dB)},
ylabel={$\gamma$},
zlabel={BER},
width=1.2\textwidth,
height=0.85\textwidth,
legend pos=outer north east,]
\addplot3[surf,
mesh/rows=17, mesh/cols=10,
colormap/viridis] table [col sep=comma,
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_40833844.csv};
\addplot3[NavyBlue, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.01},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_40833844.csv};
\addplot3[RedOrange, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.05},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_40833844.csv};
\addplot3[ForestGreen, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.15},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_40833844.csv};
\end{axis}
\end{tikzpicture}
@ -127,31 +136,32 @@
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
ymode=log,
ymax=1.5, ymin=8e-5,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[RedOrange, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
{res/proximal/2d_ber_fer_dfr_bch_31_26.csv};
\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
table [x=SNR, y=FER, col sep=comma,
discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
{res/hybrid/2d_ber_fer_dfr_bch_31_26.csv};
\addplot[NavyBlue, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
{res/admm/ber_2d_bch_31_26.csv};
\addplot[Black, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma,
discard if gt={SNR}{5.5},
discard if lt={SNR}{1},
]
{res/generic/fer_ml_bch_31_26.csv};
\begin{axis}[view={75}{30},
zmode=log,
xlabel={$E_b / N_0$ (dB)},
ylabel={$\gamma$},
zlabel={BER},
width=1.2\textwidth,
height=0.85\textwidth,
legend pos=outer north east,]
\addplot3[surf,
mesh/rows=17, mesh/cols=10,
colormap/viridis] table [col sep=comma,
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_bch_31_26.csv};
\addplot3[NavyBlue, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.01},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_bch_31_26.csv};
\addplot3[RedOrange, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.05},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_bch_31_26.csv};
\addplot3[ForestGreen, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.15},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_bch_31_26.csv};
\end{axis}
\end{tikzpicture}
@ -163,24 +173,32 @@
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
ymode=log,
ymax=1.5, ymin=8e-5,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[RedOrange, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
{res/proximal/2d_ber_fer_dfr_20455187.csv};
\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
{res/hybrid/2d_ber_fer_dfr_20455187.csv};
\addplot[NavyBlue, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
{res/admm/ber_2d_20455187.csv};
\begin{axis}[view={75}{30},
zmode=log,
xlabel={$E_b / N_0$ (dB)},
ylabel={$\gamma$},
zlabel={BER},
width=1.2\textwidth,
height=0.85\textwidth,
legend pos=outer north east,]
\addplot3[surf,
mesh/rows=17, mesh/cols=10,
colormap/viridis] table [col sep=comma,
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_20455187.csv};
\addplot3[NavyBlue, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.01},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_20455187.csv};
\addplot3[RedOrange, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.05},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_20455187.csv};
\addplot3[ForestGreen, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.15},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_20455187.csv};
\end{axis}
\end{tikzpicture}
@ -193,25 +211,32 @@
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$E_b / N_0$ (dB)}, ylabel={FER},
ymode=log,
ymax=1.5, ymin=8e-5,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[RedOrange, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
{res/proximal/2d_ber_fer_dfr_pegreg252x504.csv};
\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
table [x=SNR, y=FER, col sep=comma,
discard if not={gamma}{0.05}, discard if gt={SNR}{5.5}]
{res/hybrid/2d_ber_fer_dfr_pegreg252x504.csv};
\addplot[NavyBlue, line width=1pt, mark=*]
table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
{res/admm/ber_2d_pegreg252x504.csv};
\begin{axis}[view={75}{30},
zmode=log,
xlabel={$E_b / N_0$ (dB)},
ylabel={$\gamma$},
zlabel={BER},
width=1.2\textwidth,
height=0.85\textwidth,
legend pos=outer north east,]
\addplot3[surf,
mesh/rows=17, mesh/cols=10,
colormap/viridis] table [col sep=comma,
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_pegreg252x504.csv};
\addplot3[NavyBlue, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.01},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_pegreg252x504.csv};
\addplot3[RedOrange, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.05},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_pegreg252x504.csv};
\addplot3[ForestGreen, line width=1.5] table [col sep=comma,
discard if not={gamma}{0.15},
x=SNR, y=gamma, z=BER]
{res/proximal/2d_ber_fer_dfr_pegreg252x504.csv};
\end{axis}
\end{tikzpicture}
@ -227,35 +252,253 @@
\begin{figure}
\centering
\vspace*{-1.2cm}
\hspace*{2mm}
\vspace*{-2cm}
\hspace*{-3mm}
\begin{tikzpicture}[scale=0.8]
\begin{axis}[hide axis,
xmin=10, xmax=50,
ymin=0, ymax=0.4,
legend style={draw=white!15!black,legend cell align=left}]
\addlegendimage{surf, colormap/viridis}
\addlegendentry{$\gamma = \left[ 0\text{:}0.01\text{:}0.16 \right] $};
\addlegendimage{NavyBlue, line width=1.5pt}
\addlegendentry{$\gamma = 0.01$};
\addlegendimage{RedOrange, line width=1.5pt}
\addlegendentry{$\gamma = 0.05$};
\addlegendimage{ForestGreen, line width=1.5pt}
\addlegendentry{$\gamma = 0.15$};
\end{axis}
\end{tikzpicture}
\end{figure}
\end{minipage}
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}[t]
\frametitle{LP Decoding using ADMM: Choice of $\mu$ and $\rho$}
\captionsetup[subfigure]{font=footnotesize}
\begin{minipage}[c]{0.9\textwidth}
\centering
\hspace*{-4mm}
\begin{figure}[H]
\centering
\vspace*{-7mm}
\begin{subfigure}[t]{0.33\textwidth}
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$\rho$}, ylabel={Avg. \# iter.},
ymode=log,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[ForestGreen, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{2.0},]
{res/admm/mu_rho_kavg_963965.csv};
\addplot[RedOrange, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{5.0},]
{res/admm/mu_rho_kavg_963965.csv};
\addplot[NavyBlue, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{9.0},]
{res/admm/mu_rho_kavg_963965.csv};
\end{axis}
\end{tikzpicture}
\vspace*{-1mm}
\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=96, k=48$
\cite[\text{96.3.965}]{mackay_enc}}
\end{subfigure}%
\begin{subfigure}[t]{0.33\textwidth}
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$\rho$}, ylabel={Avg. \# iter.},
ymode=log,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[ForestGreen, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{2.0},]
{res/admm/mu_rho_kavg_20433484.csv};
\addplot[RedOrange, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{5.0},]
{res/admm/mu_rho_kavg_20433484.csv};
\addplot[NavyBlue, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{9.0},]
{res/admm/mu_rho_kavg_20433484.csv};
\end{axis}
\end{tikzpicture}
\vspace*{-1mm}
\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=204, k=102$
\cite[\text{204.33.484}]{mackay_enc}}
\end{subfigure}%
\begin{subfigure}[t]{0.33\textwidth}
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$\rho$}, ylabel={Avg. \# iter.},
ymode=log,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[ForestGreen, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{2.0},]
{res/admm/mu_rho_kavg_40833844.csv};
\addplot[RedOrange, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{5.0},]
{res/admm/mu_rho_kavg_40833844.csv};
\addplot[NavyBlue, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{9.0},]
{res/admm/mu_rho_kavg_40833844.csv};
\end{axis}
\end{tikzpicture}
\vspace*{-1mm}
\caption{$\left( 3, 6 \right)$-regular LDPC code with $n=408, k=204$
\cite[\text{408.33.844}]{mackay_enc}}
\end{subfigure}%
\begin{subfigure}[t]{0.33\textwidth}
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$\rho$}, ylabel={Avg. \# iter.},
ymode=log,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[ForestGreen, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{2.0},]
{res/admm/mu_rho_kavg_bch_31_26.csv};
\addplot[RedOrange, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{5.0},]
{res/admm/mu_rho_kavg_bch_31_26.csv};
\addplot[NavyBlue, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{9.0},]
{res/admm/mu_rho_kavg_bch_31_26.csv};
\end{axis}
\end{tikzpicture}
\vspace*{-1mm}
\caption{BCH code with $n=31, k=26$}
\end{subfigure}%
\begin{subfigure}[t]{0.33\textwidth}
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$\rho$}, ylabel={Avg. \# iter.},
ymode=log,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[ForestGreen, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{2.0},]
{res/admm/mu_rho_kavg_20455187.csv};
\addplot[RedOrange, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{5.0},]
{res/admm/mu_rho_kavg_20455187.csv};
\addplot[NavyBlue, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{9.0},]
{res/admm/mu_rho_kavg_20455187.csv};
\end{axis}
\end{tikzpicture}
\vspace*{-1mm}
\caption{$\left( 5, 10 \right)$-regular LDPC code with $n=204, k=102$
\cite[\text{204.55.187}]{mackay_enc}}
\end{subfigure}%
\begin{subfigure}[t]{0.33\textwidth}
\centering
\begin{tikzpicture}[scale=0.8]
\begin{axis}[
grid=both,
xlabel={$\rho$}, ylabel={Avg. \# iter.},
ymode=log,
width=1.2\textwidth,
height=0.85\textwidth,
]
\addplot[ForestGreen, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{2.0},]
{res/admm/mu_rho_kavg_pegreg252x504.csv};
\addplot[RedOrange, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{5.0},]
{res/admm/mu_rho_kavg_pegreg252x504.csv};
\addplot[NavyBlue, line width=1pt]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{9.0},]
{res/admm/mu_rho_kavg_pegreg252x504.csv};
\end{axis}
\end{tikzpicture}
\vspace*{-1mm}
\caption{LDPC code (progressive edge growth construction) with $n=504, k=252$
\cite[\text{PEGReg252x504}]{mackay_enc}}
\end{subfigure}%
\end{figure}
\end{minipage}%
\begin{minipage}[c]{0.1\textwidth}
\centering
\begin{figure}
\centering
\vspace*{-1cm}
\hspace*{3mm}
\begin{tikzpicture}[scale=0.8]
\begin{axis}[hide axis,
xmin=10, xmax=50,
ymin=0, ymax=0.4,
legend columns=1,
legend style={draw=white!15!black}]
\addlegendimage{RedOrange, line width=1pt, mark=*, solid}
\addlegendentry{Proximal}
\addlegendimage{RedOrange, line width=1pt, mark=triangle*, densely dashed}
\addlegendentry{Improved}
\addlegendimage{NavyBlue, line width=1pt, mark=*}
\addlegendentry{ADMM}
% \addlegendimage{RoyalPurple, line width=1pt, mark=*}
% \addlegendentry{BP}
\addlegendimage{Black, line width=1pt, mark=*}
\addlegendentry{ML}
% \addlegendimage{PineGreen, line width=1pt, mark=triangle*, solid}
% \addlegendentry{ML}
\addlegendimage{NavyBlue, line width=1pt}
\addlegendentry{$\mu = 9$}
\addlegendimage{RedOrange, line width=1pt}
\addlegendentry{$\mu = 5$}
\addlegendimage{ForestGreen, line width=1pt}
\addlegendentry{$\mu = 2$}
\end{axis}
\end{tikzpicture}
\end{figure}
\end{minipage}
\end{frame}