Add Tanner graph slides

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2026-04-22 16:03:18 +02:00
parent ecc6b89cb2
commit 0bfa6a7733

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@@ -1759,7 +1759,9 @@
\label{subsec:Soft-Information-Aware Sliding-Window Decoding}
\begin{frame}
\frametitle{Warm-Start Sliding-Window Decoding}
\frametitle{BP: Warm-Start Sliding-Window Decoding}
\vspace*{-15mm}
\begin{itemize}
\item Contribution: \schlagwort{Warm-start} by initializing
@@ -1782,6 +1784,7 @@
},
}
\only<1>{
\begin{tikzpicture}[node distance = 7mm]
\node[VN] (vn00) {};
\node[VN, below = of vn00] (vn01) {};
@@ -1867,13 +1870,117 @@
\draw[-{Latex}, line width=1pt] ([yshift=8mm] box1.north
east) -- ++(35mm,0);
\end{tikzpicture}
}%
\only<2->{
\begin{tikzpicture}[node distance = 7mm]
\node[VN] (vn00) {};
\node[VN, below = of vn00] (vn01) {};
\node[VN, below = of vn01] (vn02) {};
\node[VN, below = of vn02] (vn03) {};
\node[VN, below = of vn03] (vn04) {};
\coordinate (temp) at ($(vn01)!0.5!(vn02)$);
\node[CN, left =15mm of temp] (cn00) {};
\node[CN, below = of cn00] (cn01) {};
\draw (vn00) -- (cn00);
\draw (vn01) -- (cn00);
\draw (vn03) -- (cn00);
\draw (vn01) -- (cn01);
\draw (vn02) -- (cn01);
\draw (vn04) -- (cn01);
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\node[VN, right = 35mm of vn\prev 0] (vn\i0) {};
\node[VN, below = of vn\i0] (vn\i1) {};
\node[VN, below = of vn\i1] (vn\i2) {};
\node[VN, below = of vn\i2] (vn\i3) {};
\node[VN, below = of vn\i3] (vn\i4) {};
\coordinate (temp) at ($(vn\i1)!0.5!(vn\i2)$);
\node[CN, left = 15mm of temp] (cn\i0) {};
\node[CN, below = of cn\i0] (cn\i1) {};
\draw (vn\i0) -- (cn\i0);
\draw (vn\i1) -- (cn\i0);
\draw (vn\i3) -- (cn\i0);
\draw (vn\i1) -- (cn\i1);
\draw (vn\i2) -- (cn\i1);
\draw (vn\i4) -- (cn\i1);
}
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\draw (vn\prev 3) -- (cn\i 0);
\draw (vn\prev 4) -- (cn\i 1);
}
\node[
draw, inner sep=5mm,line width=1pt,
fit=(vn00)(vn04)(cn00)(cn01)(vn20)(vn24)(cn20)(cn21)
]
(box1) {};
\node[
draw, dashed, inner sep=5mm, inner ysep=8mm,line width=1pt,
fit=(vn10)(vn14)(cn10)(cn11)(vn30)(vn34)(cn30)(cn31)
]
(box2) {};
\draw[kit-orange, line width=2pt] (cn10) -- (vn10);
\draw[kit-orange, line width=2pt] (cn10) -- (vn11);
\draw[kit-orange, line width=2pt] (cn10) -- (vn13);
\draw[kit-orange, line width=2pt] (cn11) -- (vn11);
\draw[kit-orange, line width=2pt] (cn11) -- (vn12);
\draw[kit-orange, line width=2pt] (cn11) -- (vn14);
\draw[kit-orange, line width=2pt] (vn13) -- (cn20);
\draw[kit-orange, line width=2pt] (vn14) -- (cn21);
\draw[kit-orange, line width=2pt] (cn20) -- (vn20);
\draw[kit-orange, line width=2pt] (cn20) -- (vn21);
\draw[kit-orange, line width=2pt] (cn20) -- (vn23);
\draw[kit-orange, line width=2pt] (cn21) -- (vn21);
\draw[kit-orange, line width=2pt] (cn21) -- (vn22);
\draw[kit-orange, line width=2pt] (cn21) -- (vn24);
% Marker for solid box (positions 02)
\draw[line width=1pt] ([yshift=-5mm, line width=1pt]box1.south west)
-- ++(0,-4mm)
coordinate (dim1l);
\draw[line width=1pt] ([yshift=-5mm]box1.south east)
-- ++(0,-4mm)
coordinate (dim1r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=-2mm]dim1l) -- ([yshift=-2mm]dim1r)
node[midway, below=2pt] {$W$};
% Marker for step size F on top
\draw[line width=1pt] ([yshift=3mm]box2.north west)
-- ++(0,4mm)
coordinate (dim3l);
\draw[line width=1pt] ([yshift=3mm]box2.north west -|
box1.north west)
-- ++(0,4mm)
coordinate (dim3r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=2mm]dim3l) -- ([yshift=2mm]dim3r)
node[midway, above=2pt] {$F$};
\draw[-{Latex}, line width=1pt] ([yshift=8mm] box1.north
east) -- ++(35mm,0);
\end{tikzpicture}
}
\end{figure}
\vspace*{-5mm}
\begin{itemize}
\item Pass \ac{cn} to \ac{vn} messages of overlapping region
to next window
\item Pass messages from overlapping region to next window
\end{itemize}
\end{frame}
@@ -2883,6 +2990,243 @@
\stopreferencesendmanual
\end{frame}
\begin{frame}
\frametitle{BPGD: Warm-Start Sliding-Window Decoding I}
\vspace*{-15mm}
\begin{itemize}
\item BPGD: Additional information about overlap region
\end{itemize}
\vspace*{-5mm}
\begin{figure}[H]
\centering
\tikzset{
VN/.style={
circle, fill=kit-green,
inner sep=1.5mm,
},
CN/.style={
rectangle, fill=kit-blue,
inner sep=1.8mm,
},
}
\only<1>{
\begin{tikzpicture}[node distance = 7mm]
\node[VN] (vn00) {};
\node[VN, below = of vn00] (vn01) {};
\node[VN, below = of vn01] (vn02) {};
\node[VN, below = of vn02] (vn03) {};
\node[VN, below = of vn03] (vn04) {};
\coordinate (temp) at ($(vn01)!0.5!(vn02)$);
\node[CN, left =15mm of temp] (cn00) {};
\node[CN, below = of cn00] (cn01) {};
\draw (vn00) -- (cn00);
\draw (vn01) -- (cn00);
\draw (vn03) -- (cn00);
\draw (vn01) -- (cn01);
\draw (vn02) -- (cn01);
\draw (vn04) -- (cn01);
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\node[VN, right = 35mm of vn\prev 0] (vn\i0) {};
\node[VN, below = of vn\i0] (vn\i1) {};
\node[VN, below = of vn\i1] (vn\i2) {};
\node[VN, below = of vn\i2] (vn\i3) {};
\node[VN, below = of vn\i3] (vn\i4) {};
\coordinate (temp) at ($(vn\i1)!0.5!(vn\i2)$);
\node[CN, left = 15mm of temp] (cn\i0) {};
\node[CN, below = of cn\i0] (cn\i1) {};
\draw (vn\i0) -- (cn\i0);
\draw (vn\i1) -- (cn\i0);
\draw (vn\i3) -- (cn\i0);
\draw (vn\i1) -- (cn\i1);
\draw (vn\i2) -- (cn\i1);
\draw (vn\i4) -- (cn\i1);
}
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\draw (vn\prev 3) -- (cn\i 0);
\draw (vn\prev 4) -- (cn\i 1);
}
\node[
draw, inner sep=5mm,line width=1pt,
fit=(vn00)(vn04)(cn00)(cn01)(vn20)(vn24)(cn20)(cn21)
]
(box1) {};
\node[
draw, dashed, inner sep=5mm, inner ysep=8mm,line width=1pt,
fit=(vn10)(vn14)(cn10)(cn11)(vn30)(vn34)(cn30)(cn31)
]
(box2) {};
% Marker for solid box (positions 02)
\draw[line width=1pt] ([yshift=-5mm, line width=1pt]box1.south west)
-- ++(0,-4mm)
coordinate (dim1l);
\draw[line width=1pt] ([yshift=-5mm]box1.south east)
-- ++(0,-4mm)
coordinate (dim1r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=-2mm]dim1l) -- ([yshift=-2mm]dim1r)
node[midway, below=2pt] {$W$};
% Marker for step size F on top
\draw[line width=1pt] ([yshift=3mm]box2.north west)
-- ++(0,4mm)
coordinate (dim3l);
\draw[line width=1pt] ([yshift=3mm]box2.north west -|
box1.north west)
-- ++(0,4mm)
coordinate (dim3r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=2mm]dim3l) -- ([yshift=2mm]dim3r)
node[midway, above=2pt] {$F$};
\draw[-{Latex}, line width=1pt] ([yshift=8mm] box1.north
east) -- ++(35mm,0);
\end{tikzpicture}
}%
\only<2->{
\begin{tikzpicture}[node distance = 7mm]
\node[VN] (vn00) {};
\node[VN, below = of vn00] (vn01) {};
\node[VN, below = of vn01] (vn02) {};
\node[VN, below = of vn02] (vn03) {};
\node[VN, below = of vn03] (vn04) {};
\coordinate (temp) at ($(vn01)!0.5!(vn02)$);
\node[CN, left =15mm of temp] (cn00) {};
\node[CN, below = of cn00] (cn01) {};
\draw (vn00) -- (cn00);
\draw (vn01) -- (cn00);
\draw (vn03) -- (cn00);
\draw (vn01) -- (cn01);
\draw (vn02) -- (cn01);
\draw (vn04) -- (cn01);
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\node[VN, right = 35mm of vn\prev 0] (vn\i0) {};
\node[VN, below = of vn\i0] (vn\i1) {};
\node[VN, below = of vn\i1] (vn\i2) {};
\node[VN, below = of vn\i2] (vn\i3) {};
\node[VN, below = of vn\i3] (vn\i4) {};
\coordinate (temp) at ($(vn\i1)!0.5!(vn\i2)$);
\node[CN, left = 15mm of temp] (cn\i0) {};
\node[CN, below = of cn\i0] (cn\i1) {};
\draw (vn\i0) -- (cn\i0);
\draw (vn\i1) -- (cn\i0);
\draw (vn\i3) -- (cn\i0);
\draw (vn\i1) -- (cn\i1);
\draw (vn\i2) -- (cn\i1);
\draw (vn\i4) -- (cn\i1);
}
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\draw (vn\prev 3) -- (cn\i 0);
\draw (vn\prev 4) -- (cn\i 1);
}
\node[
draw, inner sep=5mm,line width=1pt,
fit=(vn00)(vn04)(cn00)(cn01)(vn20)(vn24)(cn20)(cn21)
]
(box1) {};
\node[
draw, dashed, inner sep=5mm, inner ysep=8mm,line width=1pt,
fit=(vn10)(vn14)(cn10)(cn11)(vn30)(vn34)(cn30)(cn31)
]
(box2) {};
\draw[kit-orange, line width=2pt] (cn10) -- (vn10);
\draw[kit-orange, line width=2pt] (cn10) -- (vn11);
\draw[kit-orange, line width=2pt] (cn10) -- (vn13);
\draw[kit-orange, line width=2pt] (cn11) -- (vn11);
\draw[kit-orange, line width=2pt] (cn11) -- (vn12);
\draw[kit-orange, line width=2pt] (cn11) -- (vn14);
\draw[kit-orange, line width=2pt] (vn13) -- (cn20);
\draw[kit-orange, line width=2pt] (vn14) -- (cn21);
\draw[kit-orange, line width=2pt] (cn20) -- (vn20);
\draw[kit-orange, line width=2pt] (cn20) -- (vn21);
\draw[kit-orange, line width=2pt] (cn20) -- (vn23);
\draw[kit-orange, line width=2pt] (cn21) -- (vn21);
\draw[kit-orange, line width=2pt] (cn21) -- (vn22);
\draw[kit-orange, line width=2pt] (cn21) -- (vn24);
\node[VN, draw=kit-orange, fill=kit-orange] at (vn10) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn11) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn12) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn13) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn14) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn20) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn21) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn22) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn23) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn24) {};
% Marker for solid box (positions 02)
\draw[line width=1pt] ([yshift=-5mm, line width=1pt]box1.south west)
-- ++(0,-4mm)
coordinate (dim1l);
\draw[line width=1pt] ([yshift=-5mm]box1.south east)
-- ++(0,-4mm)
coordinate (dim1r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=-2mm]dim1l) -- ([yshift=-2mm]dim1r)
node[midway, below=2pt] {$W$};
% Marker for step size F on top
\draw[line width=1pt] ([yshift=3mm]box2.north west)
-- ++(0,4mm)
coordinate (dim3l);
\draw[line width=1pt] ([yshift=3mm]box2.north west -|
box1.north west)
-- ++(0,4mm)
coordinate (dim3r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=2mm]dim3l) -- ([yshift=2mm]dim3r)
node[midway, above=2pt] {$F$};
\draw[-{Latex}, line width=1pt] ([yshift=8mm] box1.north
east) -- ++(35mm,0);
\end{tikzpicture}
}
\end{figure}
\vspace*{-5mm}
\begin{itemize}
\item Pass messages \schlagwort{and decimation information} to next window
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{BPGD: Passing Decimation Information}
@@ -2988,7 +3332,7 @@
\begin{itemize}
\item $\llbracket 144,12,12\rrbracket$ \ac{bb} code
\item $12$ \ac{se} rounds
\item \Ac{spa} + \ac{gd} decoder
\item \Ac{spa} + \ac{gd}
\item Parameters
\begin{itemize}
\item $T = 1$
@@ -2999,6 +3343,260 @@
\end{minipage}
\end{frame}
\begin{frame}
\frametitle{BPGD: Warm-Start Sliding-Window Decoding II}
\vspace*{-15mm}
\begin{itemize}
\item Decimation information: \schlagwort{Premature hard decision} on VNs
\end{itemize}
\vspace*{-5mm}
\begin{figure}[H]
\centering
\tikzset{
VN/.style={
circle, fill=kit-green,
inner sep=1.5mm,
},
CN/.style={
rectangle, fill=kit-blue,
inner sep=1.8mm,
},
}
\only<1>{
\begin{tikzpicture}[node distance = 7mm]
\node[VN] (vn00) {};
\node[VN, below = of vn00] (vn01) {};
\node[VN, below = of vn01] (vn02) {};
\node[VN, below = of vn02] (vn03) {};
\node[VN, below = of vn03] (vn04) {};
\coordinate (temp) at ($(vn01)!0.5!(vn02)$);
\node[CN, left =15mm of temp] (cn00) {};
\node[CN, below = of cn00] (cn01) {};
\draw (vn00) -- (cn00);
\draw (vn01) -- (cn00);
\draw (vn03) -- (cn00);
\draw (vn01) -- (cn01);
\draw (vn02) -- (cn01);
\draw (vn04) -- (cn01);
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\node[VN, right = 35mm of vn\prev 0] (vn\i0) {};
\node[VN, below = of vn\i0] (vn\i1) {};
\node[VN, below = of vn\i1] (vn\i2) {};
\node[VN, below = of vn\i2] (vn\i3) {};
\node[VN, below = of vn\i3] (vn\i4) {};
\coordinate (temp) at ($(vn\i1)!0.5!(vn\i2)$);
\node[CN, left = 15mm of temp] (cn\i0) {};
\node[CN, below = of cn\i0] (cn\i1) {};
\draw (vn\i0) -- (cn\i0);
\draw (vn\i1) -- (cn\i0);
\draw (vn\i3) -- (cn\i0);
\draw (vn\i1) -- (cn\i1);
\draw (vn\i2) -- (cn\i1);
\draw (vn\i4) -- (cn\i1);
}
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\draw (vn\prev 3) -- (cn\i 0);
\draw (vn\prev 4) -- (cn\i 1);
}
\node[
draw, inner sep=5mm,line width=1pt,
fit=(vn00)(vn04)(cn00)(cn01)(vn20)(vn24)(cn20)(cn21)
]
(box1) {};
\node[
draw, dashed, inner sep=5mm, inner ysep=8mm,line width=1pt,
fit=(vn10)(vn14)(cn10)(cn11)(vn30)(vn34)(cn30)(cn31)
]
(box2) {};
\draw[kit-orange, line width=2pt] (cn10) -- (vn10);
\draw[kit-orange, line width=2pt] (cn10) -- (vn11);
\draw[kit-orange, line width=2pt] (cn10) -- (vn13);
\draw[kit-orange, line width=2pt] (cn11) -- (vn11);
\draw[kit-orange, line width=2pt] (cn11) -- (vn12);
\draw[kit-orange, line width=2pt] (cn11) -- (vn14);
\draw[kit-orange, line width=2pt] (vn13) -- (cn20);
\draw[kit-orange, line width=2pt] (vn14) -- (cn21);
\draw[kit-orange, line width=2pt] (cn20) -- (vn20);
\draw[kit-orange, line width=2pt] (cn20) -- (vn21);
\draw[kit-orange, line width=2pt] (cn20) -- (vn23);
\draw[kit-orange, line width=2pt] (cn21) -- (vn21);
\draw[kit-orange, line width=2pt] (cn21) -- (vn22);
\draw[kit-orange, line width=2pt] (cn21) -- (vn24);
\node[VN, draw=kit-orange, fill=kit-orange] at (vn10) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn11) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn12) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn13) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn14) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn20) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn21) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn22) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn23) {};
\node[VN, draw=kit-orange, fill=kit-orange] at (vn24) {};
% Marker for solid box (positions 02)
\draw[line width=1pt] ([yshift=-5mm, line width=1pt]box1.south west)
-- ++(0,-4mm)
coordinate (dim1l);
\draw[line width=1pt] ([yshift=-5mm]box1.south east)
-- ++(0,-4mm)
coordinate (dim1r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=-2mm]dim1l) -- ([yshift=-2mm]dim1r)
node[midway, below=2pt] {$W$};
% Marker for step size F on top
\draw[line width=1pt] ([yshift=3mm]box2.north west)
-- ++(0,4mm)
coordinate (dim3l);
\draw[line width=1pt] ([yshift=3mm]box2.north west -|
box1.north west)
-- ++(0,4mm)
coordinate (dim3r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=2mm]dim3l) -- ([yshift=2mm]dim3r)
node[midway, above=2pt] {$F$};
\draw[-{Latex}, line width=1pt] ([yshift=8mm] box1.north
east) -- ++(35mm,0);
\end{tikzpicture}
}%
\only<2->{
\begin{tikzpicture}[node distance = 7mm]
\node[VN] (vn00) {};
\node[VN, below = of vn00] (vn01) {};
\node[VN, below = of vn01] (vn02) {};
\node[VN, below = of vn02] (vn03) {};
\node[VN, below = of vn03] (vn04) {};
\coordinate (temp) at ($(vn01)!0.5!(vn02)$);
\node[CN, left =15mm of temp] (cn00) {};
\node[CN, below = of cn00] (cn01) {};
\draw (vn00) -- (cn00);
\draw (vn01) -- (cn00);
\draw (vn03) -- (cn00);
\draw (vn01) -- (cn01);
\draw (vn02) -- (cn01);
\draw (vn04) -- (cn01);
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\node[VN, right = 35mm of vn\prev 0] (vn\i0) {};
\node[VN, below = of vn\i0] (vn\i1) {};
\node[VN, below = of vn\i1] (vn\i2) {};
\node[VN, below = of vn\i2] (vn\i3) {};
\node[VN, below = of vn\i3] (vn\i4) {};
\coordinate (temp) at ($(vn\i1)!0.5!(vn\i2)$);
\node[CN, left = 15mm of temp] (cn\i0) {};
\node[CN, below = of cn\i0] (cn\i1) {};
\draw (vn\i0) -- (cn\i0);
\draw (vn\i1) -- (cn\i0);
\draw (vn\i3) -- (cn\i0);
\draw (vn\i1) -- (cn\i1);
\draw (vn\i2) -- (cn\i1);
\draw (vn\i4) -- (cn\i1);
}
\foreach \i in {1,2,3,4} {
\pgfmathtruncatemacro{\prev}{\i-1}
\draw (vn\prev 3) -- (cn\i 0);
\draw (vn\prev 4) -- (cn\i 1);
}
\node[
draw, inner sep=5mm,line width=1pt,
fit=(vn00)(vn04)(cn00)(cn01)(vn20)(vn24)(cn20)(cn21)
]
(box1) {};
\node[
draw, dashed, inner sep=5mm, inner ysep=8mm,line width=1pt,
fit=(vn10)(vn14)(cn10)(cn11)(vn30)(vn34)(cn30)(cn31)
]
(box2) {};
\draw[kit-orange, line width=2pt] (cn10) -- (vn10);
\draw[kit-orange, line width=2pt] (cn10) -- (vn11);
\draw[kit-orange, line width=2pt] (cn10) -- (vn13);
\draw[kit-orange, line width=2pt] (cn11) -- (vn11);
\draw[kit-orange, line width=2pt] (cn11) -- (vn12);
\draw[kit-orange, line width=2pt] (cn11) -- (vn14);
\draw[kit-orange, line width=2pt] (vn13) -- (cn20);
\draw[kit-orange, line width=2pt] (vn14) -- (cn21);
\draw[kit-orange, line width=2pt] (cn20) -- (vn20);
\draw[kit-orange, line width=2pt] (cn20) -- (vn21);
\draw[kit-orange, line width=2pt] (cn20) -- (vn23);
\draw[kit-orange, line width=2pt] (cn21) -- (vn21);
\draw[kit-orange, line width=2pt] (cn21) -- (vn22);
\draw[kit-orange, line width=2pt] (cn21) -- (vn24);
% Marker for solid box (positions 02)
\draw[line width=1pt] ([yshift=-5mm, line width=1pt]box1.south west)
-- ++(0,-4mm)
coordinate (dim1l);
\draw[line width=1pt] ([yshift=-5mm]box1.south east)
-- ++(0,-4mm)
coordinate (dim1r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=-2mm]dim1l) -- ([yshift=-2mm]dim1r)
node[midway, below=2pt] {$W$};
% Marker for step size F on top
\draw[line width=1pt] ([yshift=3mm]box2.north west)
-- ++(0,4mm)
coordinate (dim3l);
\draw[line width=1pt] ([yshift=3mm]box2.north west -|
box1.north west)
-- ++(0,4mm)
coordinate (dim3r);
\draw[{Latex}-{Latex}, line width=1pt]
([yshift=2mm]dim3l) -- ([yshift=2mm]dim3r)
node[midway, above=2pt] {$F$};
\draw[-{Latex}, line width=1pt] ([yshift=8mm] box1.north
east) -- ++(35mm,0);
\end{tikzpicture}
}
\end{figure}
\vspace*{-5mm}
\begin{itemize}
\item Pass \schlagwort{only messages} to next window
\end{itemize}
\end{frame}
\begin{frame}
\frametitle{BPGD Performance: Window Size}