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Andreas Tsouchlos 2023-04-17 20:57:54 +02:00
parent 0c5cf20d10
commit d1fc41541c
1 changed files with 144 additions and 39 deletions
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183
latex/thesis/chapters/lp_dec_using_admm.tex
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@ -900,12 +900,6 @@ return $\tilde{\boldsymbol{c}}$
\item rho
\item epsilon pri / epslion dual
\end{itemize}
\item Weird behavior when allowing c to take on negative values
\begin{itemize}
\item Double check the behavior is directly linked to allowing negative values
\item Maybe something to do with pseudocodewords when not rounding?
\item Not sure if behavior appears due to all zeros assumption not being satisfied
\end{itemize}
\item Decoding Performance
\begin{itemize}
\item FER and BER similar
@ -971,44 +965,155 @@ return $\tilde{\boldsymbol{c}}$
\begin{figure}[H]
\centering
\begin{tikzpicture}
\begin{axis}[
grid=both,
xlabel={$\mu$}, ylabel={\acs{FER}},
ymode=log,
width=0.6\textwidth,
height=0.45\textwidth,
legend style={at={(0.5,-0.55)},anchor=south},
]
\addplot[ForestGreen, densely dashed, mark=*]
table [col sep=comma, x=mu, y=FER,
discard if not={SNR}{2.0},]
{res/admm/ber_2d_20433484.csv};
\addlegendentry{$E_b / N_0 = \SI{2}{dB}$}
\addplot[RedOrange, densely dashed, mark=*]
table [col sep=comma, x=mu, y=FER,
discard if not={SNR}{3.0},]
{res/admm/ber_2d_20433484.csv};
\addlegendentry{$E_b / N_0 = \SI{3}{dB}$}
\addplot[NavyBlue, densely dashed, mark=*]
table [col sep=comma, x=mu, y=FER,
discard if not={SNR}{4.0},]
{res/admm/ber_2d_20433484.csv};
\addlegendentry{$E_b / N_0 = \SI{4}{dB}$}
\end{axis}
\end{tikzpicture}
\begin{subfigure}[c]{0.48\textwidth}
\centering
\caption{Visualization of the relationship between the decoding performance%
\protect\footnotemark{} and the parameter $\mu$}
\label{fig:admm:results}
\begin{tikzpicture}
\begin{axis}[
grid=both,
xlabel={$\mu$}, ylabel={\acs{FER}},
ymode=log,
width=\textwidth,
height=0.75\textwidth,
]
\addplot[ForestGreen, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=mu, y=FER,
discard if not={SNR}{2.0},]
{res/admm/ber_2d_20433484.csv};
\addplot[RedOrange, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=mu, y=FER,
discard if not={SNR}{3.0},]
{res/admm/ber_2d_20433484.csv};
\addplot[NavyBlue, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=mu, y=FER,
discard if not={SNR}{4.0},]
{res/admm/ber_2d_20433484.csv};
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\hfill%
\begin{subfigure}[c]{0.48\textwidth}
\centering
\begin{tikzpicture}
\begin{axis}[
grid=both,
xlabel={$\rho$}, ylabel={\acs{FER}},
ymode=log,
width=\textwidth,
height=0.75\textwidth,
]
\addplot[ForestGreen, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=rho, y=FER,
discard if not={SNR}{2.0},]
{res/admm/ber_2d_20433484_rho.csv};
\addplot[RedOrange, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=rho, y=FER,
discard if not={SNR}{3.0},]
{res/admm/ber_2d_20433484_rho.csv};
\addplot[NavyBlue, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=rho, y=FER,
discard if not={SNR}{4.0},]
{res/admm/ber_2d_20433484_rho.csv};
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\begin{subfigure}[t]{\textwidth}
\centering
\begin{tikzpicture}
\begin{axis}[hide axis,
xmin=10, xmax=50,
ymin=0, ymax=0.4,
legend style={draw=white!15!black,legend cell align=left}]
\addlegendimage{ForestGreen, line width=1pt, densely dashed, mark=*}
\addlegendentry{$E_b / N_0 = \SI{2}{dB}$}
\addlegendimage{RedOrange, line width=1pt, densely dashed, mark=*}
\addlegendentry{$E_b / N_0 = \SI{3}{dB}$}
\addlegendimage{NavyBlue, line width=1pt, densely dashed, mark=*}
\addlegendentry{$E_b / N_0 = \SI{4}{dB}$}
\end{axis}
\end{tikzpicture}
\end{subfigure}
\caption{asf}
\end{figure}%
%
\footnotetext{(3,6) regular \ac{LDPC} code with $n = 204$, $k = 102$
\cite[\text{204.33.484}]{mackay_enc}; $K=200, \rho=1, \epsilon_\text{pri} = 10^{-5},
\epsilon_\text{dual} = 10^{-5}$
}%
%\footnotetext{(3,6) regular \ac{LDPC} code with $n = 204$, $k = 102$
% \cite[\text{204.33.484}]{mackay_enc}; $K=200, \rho=1, \epsilon_\text{pri} = 10^{-5},
% \epsilon_\text{dual} = 10^{-5}$
%}%
%
\begin{figure}[H]
\centering
\begin{subfigure}[c]{0.48\textwidth}
\centering
\begin{tikzpicture}
\begin{axis}[
grid=both,
xlabel={$\mu$}, ylabel={Average \# of iterations},
ymode=log,
width=\textwidth,
height=0.75\textwidth,
]
\addplot[ForestGreen, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=mu, y=k_avg,
discard if not={rho}{0.5000000000000001},]
{res/admm/mu_rho_kavg_20433484.csv};
\addlegendentry{$\rho = 0.5$}
\addplot[RedOrange, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=mu, y=k_avg,
discard if not={rho}{1.1000000000000003},]
{res/admm/mu_rho_kavg_20433484.csv};
\addlegendentry{$\rho = 1.1$}
\addplot[NavyBlue, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=mu, y=k_avg,
discard if not={rho}{1.9000000000000004},]
{res/admm/mu_rho_kavg_20433484.csv};
\addlegendentry{$\rho = 1.9$}
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\hfill%
\begin{subfigure}[c]{0.48\textwidth}
\centering
\begin{tikzpicture}
\begin{axis}[
grid=both,
xlabel={$\rho$}, ylabel={Average \# of iterations},
ymode=log,
width=\textwidth,
height=0.75\textwidth,
]
\addplot[ForestGreen, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{2.0},]
{res/admm/mu_rho_kavg_20433484.csv};
\addlegendentry{$\mu = 2$}
\addplot[RedOrange, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{5.0},]
{res/admm/mu_rho_kavg_20433484.csv};
\addlegendentry{$\mu = 5$}
\addplot[NavyBlue, line width=1pt, densely dashed, mark=*]
table [col sep=comma, x=rho, y=k_avg,
discard if not={mu}{9.0},]
{res/admm/mu_rho_kavg_20433484.csv};
\addlegendentry{$\mu = 9$}
\end{axis}
\end{tikzpicture}
\end{subfigure}%
\caption{asf}
\end{figure}%
\begin{figure}[H]
\centering