Include pre-built figures when \overleaftrue is set
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letter.tex
432
letter.tex
@ -27,7 +27,11 @@
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\newif\ifoverleaf
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%\overleaftrue
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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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% - Externalization is disabled
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% - Figures are included from pre-build PDFs
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%
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@ -362,38 +366,43 @@ decoded bits.%
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\begin{figure}
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\centering
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\begin{tikzpicture}
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\begin{axis}[
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grid=both,
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xlabel={$E_\text{b} / N_0$ (dB)}, ylabel={},
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ymode=log,
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xmin=1, xmax=8,
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ymax=1, ymin=1e-6,
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% ytick={1e-0, 1e-2, 1e-4, 1e-6},
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width=\figwidth,
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height=\figheight,
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legend pos = south west,
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]
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\addplot+[FERPlot, mark=o, mark options={solid}, scol1]
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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}{9}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{FER}
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\addplot+[BERPlot, mark=*, scol1]
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table [x=SNR, y=BER, col sep=comma,
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discard if not={gamma}{0.05},
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discard if gt={SNR}{7.5}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{BER}
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\addplot+[DFRPlot, mark=square*, scol0]
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table [x=SNR, y=DFR, col sep=comma,
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discard if not={gamma}{0.05},
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discard if gt={SNR}{9}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{DFR}
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\end{axis}
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\end{tikzpicture}
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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{axis}[
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grid=both,
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xlabel={$E_\text{b} / N_0$ (dB)}, ylabel={},
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ymode=log,
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xmin=1, xmax=8,
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ymax=1, ymin=1e-6,
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% ytick={1e-0, 1e-2, 1e-4, 1e-6},
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width=\figwidth,
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height=\figheight,
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legend pos = south west,
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]
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\addplot+[FERPlot, mark=o, mark options={solid}, scol1]
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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}{9}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{FER}
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\addplot+[BERPlot, mark=*, scol1]
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table [x=SNR, y=BER, col sep=comma,
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discard if not={gamma}{0.05},
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discard if gt={SNR}{7.5}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{BER}
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\addplot+[DFRPlot, mark=square*, scol0]
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table [x=SNR, y=DFR, col sep=comma,
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discard if not={gamma}{0.05},
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discard if gt={SNR}{9}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{DFR}
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\end{axis}
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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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$n=204, k=102$ \cite[\text{204.33.484}]{mackay}.
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@ -427,93 +436,100 @@ optimization process.%
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\begin{figure}
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\centering
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\begin{tikzpicture}
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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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xlabel={$\tilde{x}_1$},
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ylabel={$\tilde{x}_2$},
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y label style={at={(axis description cs:-0.06,0.5)},anchor=south},
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width=\figwidth,
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height=\figheight,
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grid=major, grid style={dotted},
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view={0}{90}]
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\addplot3[point meta=\thisrow{grad_norm},
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point meta min=1,
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point meta max=2.5,
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quiver={u=\thisrow{grad_0},
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v=\thisrow{grad_1},
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scale arrows=.05,
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every arrow/.append style={%
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line width=.3
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+\pgfplotspointmetatransformed/1000,
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-{Latex[length=0pt 5,width=0pt 3]}
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},
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},
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quiver/colored = {mapped color},
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-stealth,
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]
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table[col sep=comma] {res/2d_grad_L.csv};
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\end{axis}
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\begin{axis}[hide axis,
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width=\figwidth,
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height=\figheight,
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xmin=10, xmax=50,
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ymin=0, ymax=0.4,
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legend style={draw=white!15!black,
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legend cell align=left,
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empty legend,
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at={(0.9775,0.97)},anchor=north east}]
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\addlegendimage{mark=none}
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\addlegendentry{
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$\nabla L\left(\boldsymbol{y}
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\mid \tilde{\boldsymbol{x}}\right)$
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};
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\end{axis}
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\end{tikzpicture}
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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{axis}[xmin = -1.25, xmax=1.25,
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ymin = -1.25, ymax=1.25,
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xlabel={$\tilde{x}_1$},
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ylabel={$\tilde{x}_2$},
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y label style={at={(axis description cs:-0.06,0.5)},anchor=south},
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width=\figwidth,
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height=\figheight,
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grid=major, grid style={dotted},
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view={0}{90}]
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\addplot3[point meta=\thisrow{grad_norm},
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point meta min=1,
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point meta max=2.5,
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quiver={u=\thisrow{grad_0},
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v=\thisrow{grad_1},
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scale arrows=.05,
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every arrow/.append style={%
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line width=.3
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+\pgfplotspointmetatransformed/1000,
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-{Latex[length=0pt 5,width=0pt 3]}
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},
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},
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quiver/colored = {mapped color},
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-stealth,
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]
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table[col sep=comma] {res/2d_grad_L.csv};
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\end{axis}
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\begin{axis}[hide axis,
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width=\figwidth,
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height=\figheight,
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xmin=10, xmax=50,
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ymin=0, ymax=0.4,
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legend style={draw=white!15!black,
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legend cell align=left,
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empty legend,
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at={(0.9775,0.97)},anchor=north east}]
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\addlegendimage{mark=none}
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\addlegendentry{
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$\nabla L\left(\boldsymbol{y}
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\mid \tilde{\boldsymbol{x}}\right)$
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};
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\end{axis}
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\end{tikzpicture}
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\fi
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\vspace{3mm}
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\begin{tikzpicture}
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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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width=\figwidth,
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height=\figheight,
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xlabel={$\tilde{x}_1$},
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ylabel={$\tilde{x}_2$},
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y label style={at={(axis description cs:-0.06,0.5)},anchor=south},
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grid=major, grid style={dotted},
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view={0}{90}]
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\addplot3[point meta=\thisrow{grad_norm},
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point meta min=1,
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point meta max=7,
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quiver={u=\thisrow{grad_0},
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v=\thisrow{grad_1},
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scale arrows=.03,
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every arrow/.append style={%
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line width=.5
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+\pgfplotspointmetatransformed/1000,
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-{Latex[length=0pt 5,width=0pt 3]}
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},
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},
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quiver/colored = {mapped color},
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-stealth,
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]
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table[col sep=comma] {res/2d_grad_h.csv};
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\end{axis}
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\begin{axis}[hide axis,
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width=\figwidth,
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height=\figheight,
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xmin=10, xmax=50,
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ymin=0, ymax=0.4,
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legend style={draw=white!15!black,
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legend cell align=left,
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empty legend,
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at={(0.9775,0.97)},anchor=north east}]
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\addlegendimage{mark=none}
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\addlegendentry{$\nabla h\left(\tilde{\boldsymbol{x}}\right)$};
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\end{axis}
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\end{tikzpicture}
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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{axis}[xmin = -1.25, xmax=1.25,
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ymin = -1.25, ymax=1.25,
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width=\figwidth,
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height=\figheight,
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xlabel={$\tilde{x}_1$},
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ylabel={$\tilde{x}_2$},
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y label style={at={(axis description cs:-0.06,0.5)},anchor=south},
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grid=major, grid style={dotted},
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view={0}{90}]
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\addplot3[point meta=\thisrow{grad_norm},
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point meta min=1,
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point meta max=7,
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quiver={u=\thisrow{grad_0},
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v=\thisrow{grad_1},
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scale arrows=.03,
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every arrow/.append style={%
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line width=.5
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+\pgfplotspointmetatransformed/1000,
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-{Latex[length=0pt 5,width=0pt 3]}
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},
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},
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quiver/colored = {mapped color},
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-stealth,
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]
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table[col sep=comma] {res/2d_grad_h.csv};
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\end{axis}
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\begin{axis}[hide axis,
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width=\figwidth,
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height=\figheight,
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xmin=10, xmax=50,
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ymin=0, ymax=0.4,
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legend style={draw=white!15!black,
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legend cell align=left,
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empty legend,
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at={(0.9775,0.97)},anchor=north east}]
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\addlegendimage{mark=none}
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\addlegendentry{$\nabla h\left(\tilde{\boldsymbol{x}}\right)$};
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\end{axis}
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\end{tikzpicture}
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\fi
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\caption{Gradients
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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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@ -537,36 +553,40 @@ oscillate after a certain number of iterations.%
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\begin{figure}
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\centering
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\begin{tikzpicture}
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\begin{axis}[
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grid=both,
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xlabel={Iterations},
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width=\figwidth,
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height=\figheight,
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xtick={0, 100, ..., 400},
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xticklabels={0, 50, ..., 200},
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xmin=0, xmax=300,
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ymin=-4, ymax=2,
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ytick={-4,-3,...,2},
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legend pos = south east,
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]
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\addplot+ [mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_0,
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discard if gt={k}{300}]
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{res/extreme_components_20433484_combined.csv};
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\addplot+ [mark=none, line width=1,
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discard if gt={k}{300}]
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table [col sep=comma, x=k, y=grad_L_0]
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{res/extreme_components_20433484_combined.csv};
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\addplot+ [mark=none, line width=1]
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table [col sep=comma, x=k, y=grad_h_0,
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discard if gt={k}{300}]
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{res/extreme_components_20433484_combined.csv};
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\addlegendentry{$\left(\tilde{\boldsymbol{x}}\right)_1$}
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\addlegendentry{$\left(\nabla L\right)_1$}
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\addlegendentry{$\left(\nabla h\right)_1$}
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\end{axis}
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\end{tikzpicture}
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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{axis}[
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grid=both,
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xlabel={Iterations},
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width=\figwidth,
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height=\figheight,
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xtick={0, 100, ..., 400},
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xticklabels={0, 50, ..., 200},
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xmin=0, xmax=300,
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ymin=-4, ymax=2,
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ytick={-4,-3,...,2},
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legend pos = south east,
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]
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\addplot+ [mark=none, line width=1]
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table [col sep=comma, x=k, y=comb_r_s_0,
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discard if gt={k}{300}]
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{res/extreme_components_20433484_combined.csv};
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\addplot+ [mark=none, line width=1,
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discard if gt={k}{300}]
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table [col sep=comma, x=k, y=grad_L_0]
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{res/extreme_components_20433484_combined.csv};
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\addplot+ [mark=none, line width=1]
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table [col sep=comma, x=k, y=grad_h_0,
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discard if gt={k}{300}]
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{res/extreme_components_20433484_combined.csv};
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\addlegendentry{$\left(\tilde{\boldsymbol{x}}\right)_1$}
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\addlegendentry{$\left(\nabla L\right)_1$}
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\addlegendentry{$\left(\nabla h\right)_1$}
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\end{axis}
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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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for a decoding operation for a (3,6) regular LDPC code with
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@ -595,21 +615,25 @@ the probability that a given component was decoded incorrectly.%
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\begin{figure}[H]
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\centering
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\begin{tikzpicture}
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\begin{axis}[
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grid=both,
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ylabel=$P(\hat{c}_{i'} \ne c_{i'})$,
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xlabel=$i'$,
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ymode=log,
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ymin=1e-9,ymax=1e-5,
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xmin=0,xmax=200,
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width=0.95\figwidth,
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height=\figheight,
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]
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\addplot+ [scol0, mark=none, line width=1]
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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{tikzpicture}
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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{axis}[
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grid=both,
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ylabel=$P(\hat{c}_{i'} \ne c_{i'})$,
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xlabel=$i'$,
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ymode=log,
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ymin=1e-9,ymax=1e-5,
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xmin=0,xmax=200,
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width=0.95\figwidth,
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height=\figheight,
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]
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\addplot+ [scol0, mark=none, line width=1]
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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{tikzpicture}
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\fi
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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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@ -683,50 +707,54 @@ Again, these parameters were chosen,%
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\begin{figure}
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\centering
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\begin{tikzpicture}
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\begin{axis}[
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grid=both,
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xlabel={$E_\text{b} / N_0$ (dB)},
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ymode=log,
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xmin=1, xmax=8,
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ymax=1, ymin=1e-6,
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width=\figwidth,
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height=\figheight,
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legend columns=2,
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legend style={draw=white!15!black,
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legend cell align=left,
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at={(0.5,-0.44)},anchor=south}
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]
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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{axis}[
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grid=both,
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xlabel={$E_\text{b} / N_0$ (dB)},
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ymode=log,
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xmin=1, xmax=8,
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ymax=1, ymin=1e-6,
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width=\figwidth,
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height=\figheight,
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legend columns=2,
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legend style={draw=white!15!black,
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legend cell align=left,
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at={(0.5,-0.44)},anchor=south}
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]
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\addplot+[FERPlot, mark=o, mark options={solid}, scol1]
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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}{9}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{FER, prox. dec.};
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\addplot+[FERPlot, mark=o, mark options={solid}, scol1]
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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}{9}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{FER, prox. dec.};
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\addplot+[BERPlot, mark=*, scol1]
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table [x=SNR, y=BER, col sep=comma,
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discard if not={gamma}{0.05},
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discard if gt={SNR}{7.5}]
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{res/proximal_ber_fer_dfr_20433484.csv};
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\addlegendentry{BER, prox. dec.};
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\addplot+[BERPlot, mark=*, scol1]
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table [x=SNR, y=BER, col sep=comma,
|
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discard if not={gamma}{0.05},
|
||||
discard if gt={SNR}{7.5}]
|
||||
{res/proximal_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{BER, prox. dec.};
|
||||
|
||||
\addplot+[FERPlot, mark=triangle, mark options={solid}, scol2]
|
||||
table [x=SNR, y=FER, col sep=comma,
|
||||
discard if not={gamma}{0.05},
|
||||
discard if gt={SNR}{7.5}]
|
||||
{res/improved_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{FER, improved};
|
||||
\addplot+[FERPlot, mark=triangle, mark options={solid}, scol2]
|
||||
table [x=SNR, y=FER, col sep=comma,
|
||||
discard if not={gamma}{0.05},
|
||||
discard if gt={SNR}{7.5}]
|
||||
{res/improved_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{FER, improved};
|
||||
|
||||
\addplot+[BERPlot, mark=triangle*, scol2]
|
||||
table [x=SNR, y=BER, col sep=comma,
|
||||
discard if not={gamma}{0.05},
|
||||
discard if gt={SNR}{6.5}]
|
||||
{res/improved_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{BER, improved};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
\addplot+[BERPlot, mark=triangle*, scol2]
|
||||
table [x=SNR, y=BER, col sep=comma,
|
||||
discard if not={gamma}{0.05},
|
||||
discard if gt={SNR}{6.5}]
|
||||
{res/improved_ber_fer_dfr_20433484.csv};
|
||||
\addlegendentry{BER, improved};
|
||||
\end{axis}
|
||||
\end{tikzpicture}
|
||||
\fi
|
||||
|
||||
\caption{FER and BER of proximal decoding \cite{proximal_paper} and the
|
||||
improved algorithm for a $\left( 3, 6 \right)$-regular LDPC code with
|
||||
|
||||
Loading…
Reference in New Issue
Block a user