an.tsouchlos/ba-thesis
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases 1 Wiki Activity

Added faces do codeword polytopes

Browse Source
This commit is contained in:
Andreas Tsouchlos 2023-02-20 08:14:34 +01:00
parent 4fdcb0298a
commit e3cd531767
1 changed files with 11 additions and 3 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

14
latex/thesis/chapters/decoding_techniques.tex
View File

@ -412,7 +412,7 @@ The resulting formulation of the relaxed optimization problem is the following:%
\node[codeword] (c110) at (p110) {};
\node[codeword] (c011) at (p011) {};
% Polytope Edges
% Polytope Edges & Faces
\draw[line width=1pt, color=KITblue] (c000) -- (c101);
\draw[line width=1pt, color=KITblue] (c000) -- (c110);
@ -422,6 +422,10 @@ The resulting formulation of the relaxed optimization problem is the following:%
\draw[line width=1pt, color=KITblue] (c101) -- (c011);
\draw[line width=1pt, color=KITblue] (c011) -- (c110);
\fill[KITblue, opacity=0.15] (p000) -- (p101) -- (p011) -- cycle;
\fill[KITblue, opacity=0.15] (p000) -- (p110) -- (p101) -- cycle;
\fill[KITblue, opacity=0.15] (p110) -- (p011) -- (p101) -- cycle;
% Polytope Annotations
@ -472,13 +476,15 @@ The resulting formulation of the relaxed optimization problem is the following:%
\node[codeword] (c100) at (p100) {};
\node[codeword] (c111) at (p111) {};
% Polytope Edges
% Polytope Edges & Faces
\draw[line width=1pt, color=KITblue] (c000) -- (c011);
\draw[line width=1pt, color=KITblue] (c000) -- (c100);
\draw[line width=1pt, color=KITblue] (c100) -- (c111);
\draw[line width=1pt, color=KITblue] (c111) -- (c011);
\fill[KITblue, opacity=0.2] (p000) -- (p100) -- (p111) -- (p011) -- cycle;
% Polytope Annotations
\node[color=KITblue, below=0cm of c000] {$\left( 0, 0, 0 \right) $};
@ -553,12 +559,14 @@ The resulting formulation of the relaxed optimization problem is the following:%
\node[codeword] (c011) at (p011) {};
\node[pseudocodeword] (cpseudo) at (2, 1, 1) {};
% Polytope Edges
% Polytope Edges & Faces
\draw[line width=1pt, color=KITblue] (c000) -- (c011);
\draw[line width=1pt, color=KITred] (cpseudo) -- (c000);
\draw[line width=1pt, color=KITred] (cpseudo) -- (c011);
\fill[KITred, opacity=0.2] (p000) -- (p011) -- (2,1,1) -- cycle;
% Polytope Annotations
\node[color=KITblue, below=0cm of c000] {$\left( 0, 0, 0 \right) $};