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Andreas Tsouchlos 2024-06-20 03:18:37 +02:00
parent 16f8dec75c
commit 250f88ec6e
3 changed files with 6 additions and 6 deletions
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2
presentation.tex
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@ -70,7 +70,7 @@
\title{Application of Optimization Algorithms for Channel Decoding} \title{Application of Optimization Algorithms for Channel Decoding}
\subtitle{\small 20.04.2023} \subtitle{\small 21.06.2024}
\author{\vspace{1.5mm} Andreas Tsouchlos} \author{\vspace{1.5mm} Andreas Tsouchlos}
\date{ } \date{ }

2
sections/lp_dec_using_admm.tex
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@ -35,7 +35,7 @@
& \text{minimize } \boldsymbol{\gamma}^\text{T} \boldsymbol{c} \\ & \text{minimize } \boldsymbol{\gamma}^\text{T} \boldsymbol{c} \\
& \text{subject to } \boldsymbol{c}\in \mathcal{C} & \text{subject to } \boldsymbol{c}\in \mathcal{C}
\end{align*} \end{align*}
\item Goal: relaxation of constraints to make a practical solution to the problem feasible \item Goal: Relaxation of constraints to make a practical solution to the problem feasible
\end{itemize} \end{itemize}
\bigskip \bigskip

8
sections/proximal_decoding.tex
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@ -19,7 +19,7 @@
f_{\boldsymbol{Y}}\left( \boldsymbol{y} | \tilde{\boldsymbol{x}} \right) f_{\boldsymbol{Y}}\left( \boldsymbol{y} | \tilde{\boldsymbol{x}} \right)
f_{\boldsymbol{X}}\left( \tilde{\boldsymbol{x}} \right)\\ f_{\boldsymbol{X}}\left( \tilde{\boldsymbol{x}} \right)\\
&= \argmax_{\tilde{\boldsymbol{x}}\in\mathbb{R}^n} &= \argmax_{\tilde{\boldsymbol{x}}\in\mathbb{R}^n}
e^{-L\left( \boldsymbol{y} | \tilde{\boldsymbol{x}}\right)} \mathrm{e}^{-L\left( \boldsymbol{y} | \tilde{\boldsymbol{x}}\right)}
f_{\boldsymbol{X}}\left( \tilde{\boldsymbol{x}} \right), f_{\boldsymbol{X}}\left( \tilde{\boldsymbol{x}} \right),
\hspace{5mm} L\left( \boldsymbol{y} | \tilde{\boldsymbol{x}} \right) \hspace{5mm} L\left( \boldsymbol{y} | \tilde{\boldsymbol{x}} \right)
= - \ln\left( f_{\boldsymbol{Y}} = - \ln\left( f_{\boldsymbol{Y}}
@ -847,7 +847,7 @@ return $\boldsymbol{\hat{c}}$
\item Single decoding using a (3,6) regular LDPC code with $n=204, k=102$ \item Single decoding using a (3,6) regular LDPC code with $n=204, k=102$
\citereference{Mac23, 204.33.484} \citereference{Mac23, 204.33.484}
\item For larger $n$, the gradient itself starts to oscillate \item For larger $n$, the gradient itself starts to oscillate
\item Amplitude of oscillation highly correlated with probability of bit error \item Amplitude of oscillation highly correlated to probability of bit error
\end{itemize} \end{itemize}
\bigskip \bigskip
@ -1201,7 +1201,7 @@ $\textcolor{KITblue}{\textbf{return }\boldsymbol{\hat{c}}_l\text{ with highest }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame} \begin{frame}
\frametitle{Improved Algorithm: Effect of parameter $N$} \frametitle{Improved Algorithm: Effect of Parameter $N$}
\vspace*{-5mm} \vspace*{-5mm}
@ -1403,7 +1403,7 @@ $\textcolor{KITblue}{\textbf{return }\boldsymbol{\hat{c}}_l\text{ with highest }
\centering \centering
\begin{tabular}{c c c c c c} \begin{tabular}{c c c c c c}
$E_b/N_0$ & \shortstack{list size\\ mean} & \shortstack{list size\\ var.} \\ $E_b/N_0$ & \shortstack{List size\\ mean} & \shortstack{List size\\ var.} \\
\hline \hline
1.0 & 1.0 & 0.0 \\ 1.0 & 1.0 & 0.0 \\
1.5 & 1.0 & 0.0 \\ 1.5 & 1.0 & 0.0 \\