From 250f88ec6eb38ee7cf3f4b54684c1270941c39f2 Mon Sep 17 00:00:00 2001 From: Andreas Tsouchlos Date: Thu, 20 Jun 2024 03:18:37 +0200 Subject: [PATCH] Mai Anh fixes --- presentation.tex | 2 +- sections/lp_dec_using_admm.tex | 2 +- sections/proximal_decoding.tex | 8 ++++---- 3 files changed, 6 insertions(+), 6 deletions(-) diff --git a/presentation.tex b/presentation.tex index a738570..c97395f 100644 --- a/presentation.tex +++ b/presentation.tex @@ -70,7 +70,7 @@ \title{Application of Optimization Algorithms for Channel Decoding} -\subtitle{\small 20.04.2023} +\subtitle{\small 21.06.2024} \author{\vspace{1.5mm} Andreas Tsouchlos} \date{ } diff --git a/sections/lp_dec_using_admm.tex b/sections/lp_dec_using_admm.tex index 5d5ef2b..c30ec6e 100644 --- a/sections/lp_dec_using_admm.tex +++ b/sections/lp_dec_using_admm.tex @@ -35,7 +35,7 @@ & \text{minimize } \boldsymbol{\gamma}^\text{T} \boldsymbol{c} \\ & \text{subject to } \boldsymbol{c}\in \mathcal{C} \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} \bigskip diff --git a/sections/proximal_decoding.tex b/sections/proximal_decoding.tex index ff75eaa..10441af 100644 --- a/sections/proximal_decoding.tex +++ b/sections/proximal_decoding.tex @@ -19,7 +19,7 @@ f_{\boldsymbol{Y}}\left( \boldsymbol{y} | \tilde{\boldsymbol{x}} \right) f_{\boldsymbol{X}}\left( \tilde{\boldsymbol{x}} \right)\\ &= \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), \hspace{5mm} L\left( \boldsymbol{y} | \tilde{\boldsymbol{x}} \right) = - \ln\left( f_{\boldsymbol{Y}} @@ -847,7 +847,7 @@ return $\boldsymbol{\hat{c}}$ \item Single decoding using a (3,6) regular LDPC code with $n=204, k=102$ \citereference{Mac23, 204.33.484} \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} \bigskip @@ -1201,7 +1201,7 @@ $\textcolor{KITblue}{\textbf{return }\boldsymbol{\hat{c}}_l\text{ with highest } %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame} - \frametitle{Improved Algorithm: Effect of parameter $N$} + \frametitle{Improved Algorithm: Effect of Parameter $N$} \vspace*{-5mm} @@ -1403,7 +1403,7 @@ $\textcolor{KITblue}{\textbf{return }\boldsymbol{\hat{c}}_l\text{ with highest } \centering \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 1.0 & 1.0 & 0.0 \\ 1.5 & 1.0 & 0.0 \\