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letter.tex
54
letter.tex
@ -26,10 +26,6 @@
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\hyphenation{op-tical net-works semi-conduc-tor IEEE-Xplore}
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\hyphenation{op-tical net-works semi-conduc-tor IEEE-Xplore}
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\newif\ifoverleaf
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%\overleaftrue
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%
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%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Inputs & Global Options
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% Inputs & Global Options
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@ -37,6 +33,18 @@
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%
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%
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\newif\ifoverleaf
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%\overleaftrue % When enabled, this option allows the document to be compiled
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% on overleaf:
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% - common.tex is sourced from a different directory
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% - TikZ Externalization is disabled
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% - Figures are included from pre-build PDFs
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%
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% Figures
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%
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\ifoverleaf
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\ifoverleaf
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\input{common.tex}
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\input{common.tex}
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\else
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\else
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@ -45,12 +53,8 @@
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\input{lib/latex-common/common.tex}
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\input{lib/latex-common/common.tex}
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\fi
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\fi
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\addbibresource{letter.bib}
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\AtBeginBibliography{\footnotesize}
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\pgfplotsset{colorscheme/cel}
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\pgfplotsset{colorscheme/cel}
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% TODO
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\newcommand{\figwidth}{\columnwidth}
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\newcommand{\figwidth}{\columnwidth}
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\newcommand{\figheight}{0.75\columnwidth}
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\newcommand{\figheight}{0.75\columnwidth}
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@ -67,6 +71,13 @@
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},
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},
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}
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}
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%
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% Bibliography
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%
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\addbibresource{letter.bib}
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\AtBeginBibliography{\footnotesize}
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%
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%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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@ -362,6 +373,10 @@ decoded bits.%
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\begin{figure}
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\begin{figure}
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\centering
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\centering
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\ifoverleaf
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\includegraphics{figs/letter-figure0.pdf}
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\else
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\begin{tikzpicture}
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\begin{tikzpicture}
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\begin{axis}[
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\begin{axis}[
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grid=both,
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grid=both,
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@ -394,6 +409,7 @@ decoded bits.%
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\addlegendentry{DFR}
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\addlegendentry{DFR}
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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\fi
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\caption{FER, DFR, and BER for $\left( 3, 6 \right)$-regular LDPC code with
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\caption{FER, DFR, and BER for $\left( 3, 6 \right)$-regular LDPC code with
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$n=204, k=102$ \cite[\text{204.33.484}]{mackay}.
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$n=204, k=102$ \cite[\text{204.33.484}]{mackay}.
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@ -427,6 +443,9 @@ optimization process.%
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\begin{figure}
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\begin{figure}
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\centering
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\centering
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\ifoverleaf
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\includegraphics{figs/letter-figure1.pdf}
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\else
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\begin{tikzpicture}
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\begin{tikzpicture}
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\begin{axis}[xmin = -1.25, xmax=1.25,
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\begin{axis}[xmin = -1.25, xmax=1.25,
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ymin = -1.25, ymax=1.25,
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ymin = -1.25, ymax=1.25,
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@ -470,9 +489,13 @@ optimization process.%
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};
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};
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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\fi
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\vspace{3mm}
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\vspace{3mm}
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\ifoverleaf
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\includegraphics{figs/letter-figure2.pdf}
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\else
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\begin{tikzpicture}
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\begin{tikzpicture}
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\begin{axis}[xmin = -1.25, xmax=1.25,
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\begin{axis}[xmin = -1.25, xmax=1.25,
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ymin = -1.25, ymax=1.25,
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ymin = -1.25, ymax=1.25,
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@ -513,7 +536,7 @@ optimization process.%
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\addlegendentry{$\nabla h\left(\tilde{\boldsymbol{x}}\right)$};
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\addlegendentry{$\nabla h\left(\tilde{\boldsymbol{x}}\right)$};
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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\fi
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\caption{Gradients
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\caption{Gradients
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$\nabla L\left(\boldsymbol{y} \mid \tilde{\boldsymbol{x}}\right)$
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$\nabla L\left(\boldsymbol{y} \mid \tilde{\boldsymbol{x}}\right)$
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and $\nabla h \left( \tilde{\boldsymbol{x}} \right)$ for a repetition
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and $\nabla h \left( \tilde{\boldsymbol{x}} \right)$ for a repetition
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@ -537,6 +560,9 @@ oscillate after a certain number of iterations.%
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\begin{figure}
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\begin{figure}
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\centering
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\centering
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\ifoverleaf
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\includegraphics{figs/letter-figure3.pdf}
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\else
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\begin{tikzpicture}
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\begin{tikzpicture}
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\begin{axis}[
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\begin{axis}[
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grid=both,
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grid=both,
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@ -567,6 +593,7 @@ oscillate after a certain number of iterations.%
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\addlegendentry{$\left(\nabla h\right)_1$}
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\addlegendentry{$\left(\nabla h\right)_1$}
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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\fi
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\caption{Visualization of component $\left(\tilde{\boldsymbol{x}}\right)_1$
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\caption{Visualization of component $\left(\tilde{\boldsymbol{x}}\right)_1$
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for a decoding operation for a (3,6) regular LDPC code with
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for a decoding operation for a (3,6) regular LDPC code with
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@ -595,6 +622,9 @@ the probability that a given component was decoded incorrectly.%
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\begin{figure}[H]
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\begin{figure}[H]
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\centering
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\centering
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\ifoverleaf
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\includegraphics{figs/letter-figure4.pdf}
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\else
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\begin{tikzpicture}
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\begin{tikzpicture}
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\begin{axis}[
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\begin{axis}[
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grid=both,
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grid=both,
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@ -610,6 +640,7 @@ the probability that a given component was decoded incorrectly.%
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table [col sep=comma, y=p_error]{res/p_error.csv};
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table [col sep=comma, y=p_error]{res/p_error.csv};
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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\fi
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\caption{Probability that a component of the estimated codeword
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\caption{Probability that a component of the estimated codeword
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$\hat{\boldsymbol{c}}\in \mathbb{F}_2^n$ is erroneous for a (3,6) regular
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$\hat{\boldsymbol{c}}\in \mathbb{F}_2^n$ is erroneous for a (3,6) regular
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@ -683,6 +714,9 @@ Again, these parameters were chosen,%
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\begin{figure}
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\begin{figure}
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\centering
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\centering
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\ifoverleaf
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\includegraphics{figs/letter-figure5.pdf}
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\else
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\begin{tikzpicture}
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\begin{tikzpicture}
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\begin{axis}[
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\begin{axis}[
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grid=both,
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grid=both,
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@ -727,6 +761,7 @@ Again, these parameters were chosen,%
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\addlegendentry{BER, improved};
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\addlegendentry{BER, improved};
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\end{axis}
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\end{axis}
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\end{tikzpicture}
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\end{tikzpicture}
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\fi
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\caption{FER and BER of proximal decoding \cite{proximal_paper} and the
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\caption{FER and BER of proximal decoding \cite{proximal_paper} and the
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improved algorithm for a $\left( 3, 6 \right)$-regular LDPC code with
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improved algorithm for a $\left( 3, 6 \right)$-regular LDPC code with
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@ -789,4 +824,3 @@ Ministry of Education and Research (BMBF) within the project Open6GHub
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\printbibliography
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\printbibliography
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\end{document}
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\end{document}
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