Moved average error, decoing performance and time complexits to comparison section
This commit is contained in:
parent
6bf75ae5bd
commit
4e929cd7f1
@ -179,6 +179,15 @@
|
||||
\def\pgfmathresult{inf}
|
||||
\fi
|
||||
}
|
||||
},
|
||||
discard if lt/.style 2 args={
|
||||
x filter/.append code={
|
||||
\edef\tempa{\thisrow{#1}}
|
||||
\edef\tempb{#2}
|
||||
\ifdim\tempa pt < \tempb pt
|
||||
\def\pgfmathresult{inf}
|
||||
\fi
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
@ -293,12 +302,6 @@
|
||||
\input{sections/comparison.tex}
|
||||
\input{sections/question_slide.tex}
|
||||
|
||||
% \input{sections/decoding_algorithms.tex}
|
||||
% \input{sections/examination_results.tex}
|
||||
%\input{sections/forthcoming_examination.tex}
|
||||
% \input{sections/comparison.tex}
|
||||
|
||||
|
||||
\begin{frame}[allowframebreaks]
|
||||
\frametitle{Bibliography}
|
||||
\printbibliography[heading=none]
|
||||
|
||||
@ -6,10 +6,157 @@
|
||||
\subsection{Comparison of Simulation Results}%
|
||||
\label{sub:Comparison of Simulation Results}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{Decoding Performance}
|
||||
\frametitle{Comparison: Convergence Behavior}
|
||||
|
||||
\begin{figure}[H]
|
||||
\centering
|
||||
|
||||
\begin{subfigure}[t]{0.5\textwidth}
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={Iterations},
|
||||
ylabel={Average $\lVert \boldsymbol{c}-\boldsymbol{\hat{c}} \rVert$},
|
||||
width=0.9\textwidth,
|
||||
height=0.675\textwidth,
|
||||
%legend pos=outer north east,
|
||||
]
|
||||
\addplot [ForestGreen, mark=none, line width=1pt]
|
||||
table [col sep=comma, discard if not={omega}{0.0774263682681127}, x=k, y=err]
|
||||
{res/proximal/2d_avg_error_20433484_1db.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{1}{dB}$}
|
||||
\addplot [NavyBlue, mark=none, line width=1pt]
|
||||
table [col sep=comma, discard if not={omega}{0.0774263682681127}, x=k, y=err]
|
||||
{res/proximal/2d_avg_error_20433484_3db.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{3}{dB}$}
|
||||
\addplot [RedOrange, mark=none, line width=1pt]
|
||||
table [col sep=comma, discard if not={omega}{0.052233450742668434}, x=k, y=err]
|
||||
{res/proximal/2d_avg_error_20433484_5db.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{5}{dB}$}
|
||||
\addplot [RoyalPurple, mark=none, line width=1pt]
|
||||
table [col sep=comma, discard if not={omega}{0.052233450742668434}, x=k, y=err]
|
||||
{res/proximal/2d_avg_error_20433484_8db.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{8}{dB}$}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
\caption{Average error for $\SI{500000}{}$ decodings,
|
||||
$\omega = 0.05, \gamma = 0.05, K=200$\footnotemark}
|
||||
\end{subfigure}%
|
||||
\begin{subfigure}[t]{0.5\textwidth}
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
width=0.9\textwidth,
|
||||
height=0.675\textwidth,
|
||||
% legend pos=outer north east,
|
||||
xlabel={Iteration},
|
||||
ylabel={Average $\left\Vert \hat{\boldsymbol{c}} - \boldsymbol{c} \right\Vert$}
|
||||
]
|
||||
\addplot[ForestGreen, line width=1pt]
|
||||
table [col sep=comma, x=k, y=err,
|
||||
discard if not={SNR}{1.0},
|
||||
discard if gt={k}{100}]
|
||||
{res/admm/avg_error_20433484.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{1}{dB}$}
|
||||
|
||||
\addplot[RedOrange, line width=1pt]
|
||||
table [col sep=comma, x=k, y=err,
|
||||
discard if not={SNR}{2.0},
|
||||
discard if gt={k}{100}]
|
||||
{res/admm/avg_error_20433484.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{2}{dB}$}
|
||||
|
||||
\addplot[NavyBlue, line width=1pt]
|
||||
table [col sep=comma, x=k, y=err,
|
||||
discard if not={SNR}{3.0},
|
||||
discard if gt={k}{100}]
|
||||
{res/admm/avg_error_20433484.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{3}{dB}$}
|
||||
|
||||
\addplot[RoyalPurple, line width=1pt]
|
||||
table [col sep=comma, x=k, y=err,
|
||||
discard if not={SNR}{4.0},
|
||||
discard if gt={k}{100}]
|
||||
{res/admm/avg_error_20433484.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{4}{dB}$}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
\caption{Average error for $\SI{100000}{}$ decodings\protect\footnotemark{}}
|
||||
\end{subfigure}%
|
||||
|
||||
\end{figure}
|
||||
|
||||
|
||||
\footnotetext{Simulation performed with (3,6) regular LDPC code with $n=204, k=102$
|
||||
\cite[Code: 204.33.484]{mackay_enc}}
|
||||
\end{frame}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{Comparison: Time Complexity}
|
||||
|
||||
\begin{figure}[H]
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={$n$}, ylabel={time per frame (s)},
|
||||
legend style={at={(0.05,0.6)},anchor=south west},
|
||||
legend cell align={left},
|
||||
width=0.45\textwidth,
|
||||
height=0.3375\textwidth,
|
||||
]
|
||||
\addplot[RedOrange, only marks, mark=*]
|
||||
table [col sep=comma, x=n, y=spf]
|
||||
{res/proximal/fps_vs_n.csv};
|
||||
\addlegendentry{proximal}
|
||||
|
||||
\addplot[ForestGreen, only marks, mark=triangle*]
|
||||
table [col sep=comma, x=n, y=spf]
|
||||
{res/hybrid/fps_vs_n.csv};
|
||||
\addlegendentry{improved ($\SI{12}{\bit}$)}
|
||||
|
||||
\addplot[RoyalPurple, only marks, mark=diamond*]
|
||||
table [col sep=comma, x=n, y=spf]
|
||||
{res/admm/fps_vs_n.csv};
|
||||
\addlegendentry{ADMM}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
\end{figure}
|
||||
|
||||
\footnote{The points shown were calculated by evaluating the metadata
|
||||
of BER simulation results for the following codes:
|
||||
BCH $\left( 31, 11 \right)$;
|
||||
BCH $\left( 31, 26 \right)$;
|
||||
\cite[\text{96.3.965; 204.33.484;
|
||||
204.55.187; 408.33.844; PEGReg252x504}]{mackay_enc}
|
||||
}
|
||||
|
||||
\end{frame}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{Proximal Decoding: Improvement using \\``ML-in-the-List''}
|
||||
|
||||
\vspace*{-5mm}
|
||||
\vspace{-0.5cm}
|
||||
|
||||
\begin{itemize}
|
||||
\item Comparison of proximal \& improved (correction of $N = \SI{12}{\bit}$)
|
||||
decoding simulation%
|
||||
\footnote{(3,6) regular LDPC code with $n=204, k=102$
|
||||
\cite[Code: 204.33.484]{mackay_enc}}
|
||||
results
|
||||
\end{itemize}
|
||||
|
||||
\begin{figure}[H]
|
||||
\centering
|
||||
@ -17,43 +164,143 @@
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={$E_b / N_0 \left( \text{dB} \right) $}, ylabel={FER},
|
||||
xlabel={$E_b / N_0$}, ylabel={BER},
|
||||
ymode=log,
|
||||
ymax=1.5, ymin=5e-5,
|
||||
legend columns = 3,
|
||||
legend style={at={(0.5,-0.5)},anchor=south},
|
||||
width=0.45\textwidth,
|
||||
height=0.3375\textwidth,
|
||||
legend columns=2,
|
||||
legend style={at={(0.5,-0.45)},anchor=south},
|
||||
ymax=1.5, ymin=3e-8,
|
||||
width=0.48\textwidth,
|
||||
height=0.35\textwidth,
|
||||
]
|
||||
|
||||
\addplot[RedOrange, line width=1pt, mark=*, solid]
|
||||
table [x=SNR, y=FER, col sep=comma,
|
||||
discard if not={gamma}{0.05},
|
||||
discard if gt={SNR}{5.5}]
|
||||
\addplot[RedOrange, mark=*, line width=1pt]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{Proximal decoding}
|
||||
\addplot[NavyBlue, line width=1pt, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=FER, col sep=comma,
|
||||
\addplot[RedOrange, mark=triangle, densely dashed, line width=1pt]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
|
||||
\addplot[NavyBlue, line width=1pt, mark=*]
|
||||
table [x=SNR, y=BER, col sep=comma,
|
||||
discard if not={mu}{3.0},
|
||||
discard if gt={SNR}{4.0}]
|
||||
%discard if gt={SNR}{4.0}
|
||||
]
|
||||
{res/admm/ber_2d_20433484.csv};
|
||||
\addlegendentry{ADMM}
|
||||
\addplot[PineGreen, line width=1pt, mark=triangle, solid]
|
||||
table [col sep=comma, x=SNR, y=FER,
|
||||
discard if gt={SNR}{3.0}]
|
||||
{res/generic/fer_ml_20433484.csv};
|
||||
\addlegendentry{ML}
|
||||
|
||||
\addplot [RoyalPurple, mark=*, line width=1pt]
|
||||
table [x=SNR, y=BP, col sep=comma] {res/ber_paper.csv};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={$E_b / N_0$}, ylabel={FER},
|
||||
ymode=log,
|
||||
legend columns=2,
|
||||
legend style={at={(0.5,-0.45)},anchor=south},
|
||||
ymax=1.5, ymin=3e-8,
|
||||
width=0.48\textwidth,
|
||||
height=0.35\textwidth,
|
||||
]
|
||||
|
||||
\caption{Comparison of FER of proximal decoding and LP decoding using ADMM%
|
||||
\protect\footnotemark{}}
|
||||
\end{figure}%
|
||||
\addplot[RedOrange, mark=*, solid, line width=1pt]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{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}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
|
||||
\footnotetext{Simulation performed with (3,6) regular LDPC code with $n=204, k=102$
|
||||
\cite[Code: 204.33.484]{mackay_enc}}
|
||||
\addplot[NavyBlue, line width=1pt, mark=*]
|
||||
table [x=SNR, y=FER, col sep=comma,
|
||||
discard if not={mu}{3.0},
|
||||
%discard if gt={SNR}{4.0}
|
||||
]
|
||||
{res/admm/ber_2d_20433484.csv};
|
||||
\addplot[Black, line width=1pt, mark=*]
|
||||
table [col sep=comma, x=SNR, y=FER,
|
||||
%discard if gt={SNR}{3.0}
|
||||
]
|
||||
{res/generic/fer_ml_20433484.csv};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[hide axis,
|
||||
xmin=10, xmax=50,
|
||||
ymin=0, ymax=0.4,
|
||||
legend columns=3,
|
||||
legend style={draw=white!15!black,legend cell align=left}]
|
||||
|
||||
\addlegendimage{RedOrange, mark=*, line width=1pt}
|
||||
\addlegendentry{Proximal}
|
||||
|
||||
\addlegendimage{NavyBlue, mark=*, line width=1pt}
|
||||
\addlegendentry{ADMM}
|
||||
|
||||
\addlegendimage{Black, mark=*, line width=1pt}
|
||||
\addlegendentry{ML}
|
||||
|
||||
\addlegendimage{RedOrange, mark=triangle, densely dashed, line width=1pt}
|
||||
\addlegendentry{Improved}
|
||||
|
||||
\addlegendimage{RoyalPurple, mark=*, line width=1pt}
|
||||
\addlegendentry{BP}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
\caption{Simulation results for $\gamma = 0.05, \omega = 0.05, K=200, N=12$}
|
||||
\label{fig:simulation_results_hybrid}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
%\begin{frame}[t]
|
||||
% \frametitle{Decoding Performance}
|
||||
%
|
||||
% \vspace*{-5mm}
|
||||
%
|
||||
% \begin{figure}[H]
|
||||
% \centering
|
||||
%
|
||||
% \begin{tikzpicture}
|
||||
% \begin{axis}[
|
||||
% grid=both,
|
||||
% xlabel={$E_b / N_0 \left( \text{dB} \right) $}, ylabel={FER},
|
||||
% ymode=log,
|
||||
% ymax=1.5, ymin=5e-5,
|
||||
% legend columns = 3,
|
||||
% legend style={at={(0.5,-0.5)},anchor=south},
|
||||
% width=0.45\textwidth,
|
||||
% height=0.3375\textwidth,
|
||||
% ]
|
||||
%
|
||||
% \addplot[RedOrange, line width=1pt, mark=*, solid]
|
||||
% 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};
|
||||
% \addlegendentry{Proximal decoding}
|
||||
% \addplot[NavyBlue, line width=1pt, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=FER, col sep=comma,
|
||||
% discard if not={mu}{3.0},
|
||||
% discard if gt={SNR}{4.0}]
|
||||
% {res/admm/ber_2d_20433484.csv};
|
||||
% \addlegendentry{ADMM}
|
||||
% \addplot[PineGreen, line width=1pt, mark=triangle, solid]
|
||||
% table [col sep=comma, x=SNR, y=FER,
|
||||
% discard if gt={SNR}{3.0}]
|
||||
% {res/generic/fer_ml_20433484.csv};
|
||||
% \addlegendentry{ML}
|
||||
% \end{axis}
|
||||
% \end{tikzpicture}
|
||||
%
|
||||
% \caption{Comparison of FER of proximal decoding and LP decoding using ADMM%
|
||||
% \protect\footnotemark{}}
|
||||
% \end{figure}%
|
||||
%
|
||||
% \footnotetext{Simulation performed with (3,6) regular LDPC code with $n=204, k=102$
|
||||
% \cite[Code: 204.33.484]{mackay_enc}}
|
||||
%\end{frame}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{Decoding Performance}
|
||||
|
||||
@ -83,13 +330,17 @@
|
||||
\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[NavyBlue, line width=1pt, mark=triangle, densely dashed]
|
||||
\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[PineGreen, line width=1pt, mark=triangle]
|
||||
% table [col sep=comma, x=SNR, y=FER,]
|
||||
% {res/generic/fer_ml_9633965.csv};
|
||||
\addplot[Black, line width=1pt, mark=*]
|
||||
table [col sep=comma, x=SNR, y=FER,]
|
||||
{res/generic/fer_ml_9633965.csv};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
@ -111,18 +362,93 @@
|
||||
height=0.85\textwidth,
|
||||
]
|
||||
|
||||
\addplot[RedOrange, line width=1pt, mark=*, solid]
|
||||
\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};
|
||||
\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={$E_b / N_0$ (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};
|
||||
\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={$E_b / N_0$ (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[NavyBlue, line width=1pt, mark=triangle, densely dashed]
|
||||
\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[PineGreen, line width=1pt, mark=triangle*]
|
||||
% 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};
|
||||
\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};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
@ -143,46 +469,13 @@
|
||||
height=0.85\textwidth,
|
||||
]
|
||||
|
||||
\addplot[RedOrange, line width=1pt, mark=*, solid]
|
||||
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[NavyBlue, line width=1pt, mark=triangle, densely dashed]
|
||||
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[PineGreen, line width=1pt, mark=triangle, solid]
|
||||
% table [col sep=comma, x=SNR, y=FER,
|
||||
% discard if gt={SNR}{5.5}]
|
||||
% {res/generic/fer_ml_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={$E_b / N_0$ (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=*, solid]
|
||||
\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[NavyBlue, line width=1pt, mark=triangle, densely dashed]
|
||||
\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};
|
||||
\end{axis}
|
||||
@ -206,37 +499,14 @@
|
||||
height=0.85\textwidth,
|
||||
]
|
||||
|
||||
\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_40833844.csv};
|
||||
\addplot[NavyBlue, line width=1pt, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={mu}{3.0}]
|
||||
{res/admm/ber_2d_40833844.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={$E_b / N_0$ (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=*, solid]
|
||||
\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[NavyBlue, line width=1pt, mark=triangle, densely dashed]
|
||||
\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};
|
||||
\end{axis}
|
||||
@ -264,9 +534,18 @@
|
||||
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=triangle, densely dashed}
|
||||
\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}
|
||||
|
||||
@ -1045,97 +1045,3 @@
|
||||
\cite[Code: 204.33.484]{mackay_enc}}
|
||||
\end{frame}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{LP Decoding using ADMM: Average Error}
|
||||
|
||||
\begin{figure}[H]
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
width=0.45\textwidth,
|
||||
height=0.3375\textwidth,
|
||||
legend pos=outer north east,
|
||||
xlabel={Iteration}, ylabel={Average $\left\Vert \hat{\boldsymbol{c}}
|
||||
- \boldsymbol{c} \right\Vert$}
|
||||
]
|
||||
\addplot[ForestGreen, line width=1pt]
|
||||
table [col sep=comma, x=k, y=err,
|
||||
discard if not={SNR}{1.0},
|
||||
discard if gt={k}{100}]
|
||||
{res/admm/avg_error_20433484.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{1}{dB}$}
|
||||
|
||||
\addplot[RedOrange, line width=1pt]
|
||||
table [col sep=comma, x=k, y=err,
|
||||
discard if not={SNR}{2.0},
|
||||
discard if gt={k}{100}]
|
||||
{res/admm/avg_error_20433484.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{2}{dB}$}
|
||||
|
||||
\addplot[NavyBlue, line width=1pt]
|
||||
table [col sep=comma, x=k, y=err,
|
||||
discard if not={SNR}{3.0},
|
||||
discard if gt={k}{100}]
|
||||
{res/admm/avg_error_20433484.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{3}{dB}$}
|
||||
|
||||
\addplot[RoyalPurple, line width=1pt]
|
||||
table [col sep=comma, x=k, y=err,
|
||||
discard if not={SNR}{4.0},
|
||||
discard if gt={k}{100}]
|
||||
{res/admm/avg_error_20433484.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{4}{dB}$}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
\caption{Average error for $\SI{100000}{}$ decodings\protect\footnotemark{}}
|
||||
\end{figure}%
|
||||
|
||||
\footnotetext{Simulation performed with (3,6) regular LDPC code with $n=204, k=102$
|
||||
\cite[Code: 204.33.484]{mackay_enc}}
|
||||
\end{frame}
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{LP Decoding using ADMM: Time Complexity}
|
||||
|
||||
\begin{figure}[h]
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[grid=both,
|
||||
xlabel={$n$}, ylabel={Time per frame (s)},
|
||||
width=0.45\textwidth,
|
||||
height=0.3375\textwidth,
|
||||
legend style={at={(0.03,0.96)},anchor=north west},
|
||||
%legend pos=outer north east,
|
||||
legend cell align={left},]
|
||||
|
||||
% \addplot[RedOrange, only marks, mark=*]
|
||||
% table [col sep=comma, x=n, y=spf]
|
||||
% {res/proximal/fps_vs_n.csv};
|
||||
% \addlegendentry{Proximal decoding}
|
||||
\addplot[RoyalPurple, only marks, mark=triangle*]
|
||||
table [col sep=comma, x=n, y=spf]
|
||||
{res/admm/fps_vs_n.csv};
|
||||
% \addlegendentry{LP decoding using ADMM}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
\caption{Timing requirements of the LP decoding imlementation%
|
||||
\protect\footnotemark{}}
|
||||
\end{figure}%
|
||||
|
||||
\footnotetext{The points shown were calculated by evaluating the metadata
|
||||
of BER simulation results for the following codes:
|
||||
BCH $\left( 31, 11 \right)$;
|
||||
BCH $\left( 31, 26 \right)$;
|
||||
\cite[\text{96.3.965; 204.33.484;
|
||||
204.55.187; 408.33.844; PEGReg252x504}]{mackay_enc}
|
||||
}
|
||||
|
||||
\end{frame}
|
||||
|
||||
|
||||
@ -560,15 +560,15 @@ return $\boldsymbol{\hat{c}}$
|
||||
width=0.7\textwidth,
|
||||
height=0.6\textwidth,
|
||||
]
|
||||
\addplot [ForestGreen, mark=*]
|
||||
\addplot [ForestGreen, mark=*, line width=1pt]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.15$}
|
||||
\addplot [NavyBlue, mark=*]
|
||||
\addplot [NavyBlue, mark=*, line width=1pt]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.01$}
|
||||
\addplot [RedOrange, mark=*]
|
||||
\addplot [RedOrange, mark=*, line width=1pt]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.05$}
|
||||
@ -584,15 +584,15 @@ return $\boldsymbol{\hat{c}}$
|
||||
width=0.7\textwidth,
|
||||
height=0.6\textwidth,
|
||||
]
|
||||
\addplot [ForestGreen, mark=*]
|
||||
\addplot [ForestGreen, mark=*, line width=1pt]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.15$}
|
||||
\addplot [NavyBlue, mark=*]
|
||||
\addplot [NavyBlue, mark=*, line width=1pt]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.01$}
|
||||
\addplot [RedOrange, mark=*]
|
||||
\addplot [RedOrange, mark=*, line width=1pt]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.05$}
|
||||
@ -608,15 +608,15 @@ return $\boldsymbol{\hat{c}}$
|
||||
width=0.7\textwidth,
|
||||
height=0.6\textwidth,
|
||||
]
|
||||
\addplot [ForestGreen, mark=*]
|
||||
\addplot [ForestGreen, mark=*, line width=1pt]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.15$}
|
||||
\addplot [NavyBlue, mark=*]
|
||||
\addplot [NavyBlue, mark=*, line width=1pt]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.01$}
|
||||
\addplot [RedOrange, mark=*]
|
||||
\addplot [RedOrange, mark=*, line width=1pt]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{$\gamma = 0.05$}
|
||||
@ -1175,153 +1175,153 @@ $\textcolor{KITblue}{\textbf{return }\boldsymbol{\hat{c}}_l\text{ with lowest }d
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{Proximal Decoding: Improvement using \\``ML-in-the-List''}
|
||||
|
||||
\vspace{-0.5cm}
|
||||
|
||||
\begin{itemize}
|
||||
\item Comparison of proximal \& improved (correction of $N = \SI{12}{\bit}$)
|
||||
decoding simulation%
|
||||
\footnote{(3,6) regular LDPC code with $n=204, k=102$
|
||||
\cite[Code: 204.33.484]{mackay_enc}}
|
||||
results
|
||||
\end{itemize}
|
||||
|
||||
\begin{figure}[H]
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={$E_b / N_0$}, ylabel={BER},
|
||||
ymode=log,
|
||||
legend columns=2,
|
||||
legend style={at={(0.5,-0.45)},anchor=south},
|
||||
ymax=1.5, ymin=3e-8,
|
||||
width=0.33\textwidth,
|
||||
height=0.28\textwidth,
|
||||
]
|
||||
\addplot[ForestGreen, mark=*, solid]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[Emerald, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
|
||||
\addplot[NavyBlue, mark=*, solid]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[RoyalPurple, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
|
||||
\addplot[RedOrange, mark=*, solid]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[red, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={$E_b / N_0$}, ylabel={FER},
|
||||
ymode=log,
|
||||
legend columns=2,
|
||||
legend style={at={(0.5,-0.45)},anchor=south},
|
||||
ymax=1.5, ymin=3e-8,
|
||||
width=0.33\textwidth,
|
||||
height=0.28\textwidth,
|
||||
]
|
||||
|
||||
\addplot[ForestGreen, mark=*, solid]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[Emerald, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
|
||||
\addplot[NavyBlue, mark=*, solid]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[RoyalPurple, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
|
||||
\addplot[RedOrange, mark=*, solid]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[red, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={$E_b / N_0$}, ylabel={Decoding Failure Rate},
|
||||
ymode=log,
|
||||
legend columns=2,
|
||||
legend style={at={(0.5,-0.45)},anchor=south},
|
||||
ymax=1.5, ymin=3e-8,
|
||||
width=0.33\textwidth,
|
||||
height=0.28\textwidth,
|
||||
]
|
||||
|
||||
\addplot[ForestGreen, mark=*, solid]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[Emerald, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.15}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
|
||||
\addplot[NavyBlue, mark=*, solid]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[RoyalPurple, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.01}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
|
||||
\addplot[RedOrange, mark=*, solid]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
\addplot[red, mark=triangle, densely dashed]
|
||||
table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.05}]
|
||||
{res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[hide axis,
|
||||
xmin=10, xmax=50,
|
||||
ymin=0, ymax=0.4,
|
||||
legend columns=3,
|
||||
legend style={draw=white!15!black,legend cell align=left}]
|
||||
\addlegendimage{ForestGreen, mark=*, solid}
|
||||
\addlegendentry{proximal, $\gamma = 0.15$}
|
||||
|
||||
\addlegendimage{NavyBlue, mark=*, solid}
|
||||
\addlegendentry{proximal, $\gamma = 0.01$}
|
||||
|
||||
\addlegendimage{RedOrange, mark=*, solid}
|
||||
\addlegendentry{proximal, $\gamma = 0.05$}
|
||||
|
||||
\addlegendimage{Emerald, mark=triangle, densely dashed}
|
||||
\addlegendentry{improved, $\gamma = 0.15$}
|
||||
|
||||
\addlegendimage{RoyalPurple, mark=triangle, densely dashed}
|
||||
\addlegendentry{improved, $\gamma = 0.01$}
|
||||
|
||||
\addlegendimage{red, mark=triangle, densely dashed}
|
||||
\addlegendentry{improved, $\gamma = 0.05$}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
\caption{Simulation results for $\gamma = 0.05, \omega = 0.05, K=200, N=12$}
|
||||
\label{fig:simulation_results_hybrid}
|
||||
\end{figure}
|
||||
\end{frame}
|
||||
%\begin{frame}[t]
|
||||
% \frametitle{Proximal Decoding: Improvement using \\``ML-in-the-List''}
|
||||
%
|
||||
% \vspace{-0.5cm}
|
||||
%
|
||||
% \begin{itemize}
|
||||
% \item Comparison of proximal \& improved (correction of $N = \SI{12}{\bit}$)
|
||||
% decoding simulation%
|
||||
% \footnote{(3,6) regular LDPC code with $n=204, k=102$
|
||||
% \cite[Code: 204.33.484]{mackay_enc}}
|
||||
% results
|
||||
% \end{itemize}
|
||||
%
|
||||
% \begin{figure}[H]
|
||||
% \centering
|
||||
%
|
||||
% \begin{tikzpicture}
|
||||
% \begin{axis}[
|
||||
% grid=both,
|
||||
% xlabel={$E_b / N_0$}, ylabel={BER},
|
||||
% ymode=log,
|
||||
% legend columns=2,
|
||||
% legend style={at={(0.5,-0.45)},anchor=south},
|
||||
% ymax=1.5, ymin=3e-8,
|
||||
% width=0.33\textwidth,
|
||||
% height=0.28\textwidth,
|
||||
% ]
|
||||
% \addplot[ForestGreen, mark=*, solid]
|
||||
% table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[Emerald, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
%
|
||||
% \addplot[NavyBlue, mark=*, solid]
|
||||
% table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[RoyalPurple, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
%
|
||||
% \addplot[RedOrange, mark=*, solid]
|
||||
% table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[red, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=BER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
% \end{axis}
|
||||
% \end{tikzpicture}
|
||||
% \begin{tikzpicture}
|
||||
% \begin{axis}[
|
||||
% grid=both,
|
||||
% xlabel={$E_b / N_0$}, ylabel={FER},
|
||||
% ymode=log,
|
||||
% legend columns=2,
|
||||
% legend style={at={(0.5,-0.45)},anchor=south},
|
||||
% ymax=1.5, ymin=3e-8,
|
||||
% width=0.33\textwidth,
|
||||
% height=0.28\textwidth,
|
||||
% ]
|
||||
%
|
||||
% \addplot[ForestGreen, mark=*, solid]
|
||||
% table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[Emerald, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.15}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
%
|
||||
% \addplot[NavyBlue, mark=*, solid]
|
||||
% table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[RoyalPurple, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.01}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
%
|
||||
% \addplot[RedOrange, mark=*, solid]
|
||||
% table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[red, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=FER, col sep=comma, discard if not={gamma}{0.05}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
% \end{axis}
|
||||
% \end{tikzpicture}
|
||||
% \begin{tikzpicture}
|
||||
% \begin{axis}[
|
||||
% grid=both,
|
||||
% xlabel={$E_b / N_0$}, ylabel={Decoding Failure Rate},
|
||||
% ymode=log,
|
||||
% legend columns=2,
|
||||
% legend style={at={(0.5,-0.45)},anchor=south},
|
||||
% ymax=1.5, ymin=3e-8,
|
||||
% width=0.33\textwidth,
|
||||
% height=0.28\textwidth,
|
||||
% ]
|
||||
%
|
||||
% \addplot[ForestGreen, mark=*, solid]
|
||||
% table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.15}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[Emerald, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.15}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
%
|
||||
% \addplot[NavyBlue, mark=*, solid]
|
||||
% table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.01}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[RoyalPurple, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.01}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
%
|
||||
% \addplot[RedOrange, mark=*, solid]
|
||||
% table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.05}]
|
||||
% {res/proximal/2d_ber_fer_dfr_20433484.csv};
|
||||
% \addplot[red, mark=triangle, densely dashed]
|
||||
% table [x=SNR, y=DFR, col sep=comma, discard if not={gamma}{0.05}]
|
||||
% {res/hybrid/2d_ber_fer_dfr_20433484.csv};
|
||||
% \end{axis}
|
||||
% \end{tikzpicture}
|
||||
% \begin{tikzpicture}
|
||||
% \begin{axis}[hide axis,
|
||||
% xmin=10, xmax=50,
|
||||
% ymin=0, ymax=0.4,
|
||||
% legend columns=3,
|
||||
% legend style={draw=white!15!black,legend cell align=left}]
|
||||
% \addlegendimage{ForestGreen, mark=*, solid}
|
||||
% \addlegendentry{proximal, $\gamma = 0.15$}
|
||||
%
|
||||
% \addlegendimage{NavyBlue, mark=*, solid}
|
||||
% \addlegendentry{proximal, $\gamma = 0.01$}
|
||||
%
|
||||
% \addlegendimage{RedOrange, mark=*, solid}
|
||||
% \addlegendentry{proximal, $\gamma = 0.05$}
|
||||
%
|
||||
% \addlegendimage{Emerald, mark=triangle, densely dashed}
|
||||
% \addlegendentry{improved, $\gamma = 0.15$}
|
||||
%
|
||||
% \addlegendimage{RoyalPurple, mark=triangle, densely dashed}
|
||||
% \addlegendentry{improved, $\gamma = 0.01$}
|
||||
%
|
||||
% \addlegendimage{red, mark=triangle, densely dashed}
|
||||
% \addlegendentry{improved, $\gamma = 0.05$}
|
||||
% \end{axis}
|
||||
% \end{tikzpicture}
|
||||
%
|
||||
% \caption{Simulation results for $\gamma = 0.05, \omega = 0.05, K=200, N=12$}
|
||||
% \label{fig:simulation_results_hybrid}
|
||||
% \end{figure}
|
||||
%\end{frame}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
@ -1611,95 +1611,3 @@ $\textcolor{KITblue}{\textbf{return }\boldsymbol{\hat{c}}_l\text{ with lowest }d
|
||||
% \end{minipage}
|
||||
%\end{frame}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{Proximal Decoding: Average Error}
|
||||
|
||||
\begin{figure}[H]
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={Iterations},
|
||||
ylabel={Average $\lVert \boldsymbol{c}-\boldsymbol{\hat{c}} \rVert$},
|
||||
width=0.45\textwidth,
|
||||
height=0.3375\textwidth,
|
||||
legend pos=outer north east,
|
||||
]
|
||||
\addplot [ForestGreen, mark=none, line width=1pt]
|
||||
table [col sep=comma, discard if not={omega}{0.0774263682681127}, x=k, y=err]
|
||||
{res/proximal/2d_avg_error_20433484_1db.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{1}{dB}$}
|
||||
\addplot [NavyBlue, mark=none, line width=1pt]
|
||||
table [col sep=comma, discard if not={omega}{0.0774263682681127}, x=k, y=err]
|
||||
{res/proximal/2d_avg_error_20433484_3db.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{3}{dB}$}
|
||||
\addplot [RedOrange, mark=none, line width=1pt]
|
||||
table [col sep=comma, discard if not={omega}{0.052233450742668434}, x=k, y=err]
|
||||
{res/proximal/2d_avg_error_20433484_5db.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{5}{dB}$}
|
||||
\addplot [RoyalPurple, mark=none, line width=1pt]
|
||||
table [col sep=comma, discard if not={omega}{0.052233450742668434}, x=k, y=err]
|
||||
{res/proximal/2d_avg_error_20433484_8db.csv};
|
||||
\addlegendentry{$E_b / N_0 = \SI{8}{dB}$}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
\caption{Average error for $\SI{500000}{}$ decodings, $
|
||||
\omega = 0.05, \gamma = 0.05, K=200$\footnotemark}
|
||||
\end{figure}
|
||||
|
||||
\footnotetext{Simulation performed with (3,6) regular LDPC code with $n=204, k=102$
|
||||
\cite[Code: 204.33.484]{mackay_enc}}
|
||||
|
||||
\begin{itemize}
|
||||
\item With increasing iterations, the average error asymptotically
|
||||
approaches a minimum, non-zero value
|
||||
\end{itemize}
|
||||
\end{frame}
|
||||
|
||||
|
||||
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
|
||||
\begin{frame}[t]
|
||||
\frametitle{Proximal Decoding: Time Complexity}
|
||||
|
||||
\begin{figure}[H]
|
||||
\centering
|
||||
|
||||
\begin{tikzpicture}
|
||||
\begin{axis}[
|
||||
grid=both,
|
||||
xlabel={$n$}, ylabel={time per frame (s)},
|
||||
legend style={at={(0.05,0.7)},anchor=south west},
|
||||
legend cell align={left},
|
||||
width=0.45\textwidth,
|
||||
height=0.3375\textwidth,
|
||||
]
|
||||
\addplot[RedOrange, only marks, mark=*]
|
||||
table [col sep=comma, x=n, y=spf]
|
||||
{res/proximal/fps_vs_n.csv};
|
||||
\addlegendentry{proximal}
|
||||
|
||||
\addplot[RoyalPurple, only marks, mark=triangle*]
|
||||
table [col sep=comma, x=n, y=spf]
|
||||
{res/hybrid/fps_vs_n.csv};
|
||||
\addlegendentry{improved ($\SI{12}{\bit}$)}
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
|
||||
\caption{Time complexity of proximal decoding and improved implementation\footnotemark}
|
||||
\label{fig:fps_vs_n}
|
||||
\end{figure}
|
||||
|
||||
\footnotetext{The points shown were calculated by evaluating the metadata
|
||||
of BER simulation results for the following codes:
|
||||
BCH $\left( 31, 11 \right)$;
|
||||
BCH $\left( 31, 26 \right)$;
|
||||
\cite[\text{96.3.965; 204.33.484;
|
||||
204.55.187; 408.33.844; PEGReg252x504}]{mackay_enc}
|
||||
}
|
||||
|
||||
\end{frame}
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user