Network Coding
Author
marek
Last Updated
6 years ago
License
Creative Commons CC BY 4.0
Abstract
A presentation on Network Coding made with the KOMA-Script presentation class.
A presentation on Network Coding made with the KOMA-Script presentation class.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% KOMA-Script Presentation
% LaTeX Template
% Version 1.0 (3/3/13)
%
% This template has been downloaded from:
% http://www.LaTeXTemplates.com
%
% Original Authors:
% Marius Hofert (marius.hofert@math.ethz.ch)
% Markus Kohm (komascript@gmx.info)
% Described in the PracTeX Journal, 2010, No. 2
%
% License:
% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%----------------------------------------------------------------------------------------
% PACKAGES AND OTHER DOCUMENT CONFIGURATIONS
%----------------------------------------------------------------------------------------
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%------------------------------------------------
% Colors
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%------------------------------------------------
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%------------------------------------------------
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%------------------------------------------------
%----------------------------------------------------------------------------------------
% PRESENTATION INFORMATION
%----------------------------------------------------------------------------------------
\newcommand*{\mytitle}{Network coding} % Title
\newcommand*{\runninghead}{Master thesis - Network coding} % Running head displayed on almost all slides
\newcommand*{\myauthor}{Marek Zacharda} % Presenters name(s)
\newcommand*{\mydate}{June 17, 2014} % Presentation date
\newcommand*{\myuni}{FEI Slovak University of Technology} % University or department
%----------------------------------------------------------------------------------------
\begin{document}
%----------------------------------------------------------------------------------------
% TITLE SLIDE
%----------------------------------------------------------------------------------------
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%----------------------------------------------------------------------------------------
% TABLE OF CONTENTS
%----------------------------------------------------------------------------------------
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% To exclude sections/subsections from the table of contents, put an asterisk after \(sub)section like so: \section*{Section Name}
\clearpage
%----------------------------------------------------------------------------------------
% PRESENTATION SLIDES
%----------------------------------------------------------------------------------------
\section{Principles of Network coding}
\textit{Two way relay channel}
\begin{figure}[h]
\centering\includegraphics[width=0.7\linewidth]{MAC_and_BC}
\end{figure}
\clearpage
%------------------------------------------------
\section{Relaying networks}
%\textit{Sed iaculis} dapibus gravida. Morbi sed tortor erat, nec interdum arcu. Sed id lorem lectus. Quisque viverra augue id sem ornare non aliquam nibh tristique. Aenean in ligula nisl. Nulla sed tellus ipsum.
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%\end{multicols}
\begin{itemize}
\item Amplify-and-Forward
\item Compress-and-Forward
\item Decode-and-Forward
\item Compute-and-Forward
\end{itemize}
\clearpage
%------------------------------------------------
\subsection{Compute-and-Forward}
\begin{itemize}
\item Rate
$${\cal R}({\mathbf h}_m, {\mathbf a}_m) = {1\over 2}\log^+{\left(\left(\Vert {\mathbf a}_m \Vert^2 - {P ({\mathbf h}_m^T {\mathbf a}_m)^2\over 1 + P\Vert{\mathbf h}_m\Vert^2}\right)^{-1}\right).}\eqno{\hbox{(1)}}$$
\item Desired Equations
$${\mathbf u}_m = \bigoplus_{\ell = 1}^L{q_{m \ell} {\mathbf w}_\ell}. \eqno{\hbox{(2)}}$$
\item Outage probability
$$\rho_{{\textrm{OUT}}}(R) = \Pr\left(R_{{\textrm{SCHEME}}}({\mathbf H}) < R\right). \eqno{\hbox{(3)}}$$
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%\begin{enumerate}
%\item Nulla commodo, erat quis gravida posuere, elit lacus lobortis est, quis porttitor odio mauris at libero
%\item Nam cursus est eget velit posuere pellentesque
%\item Vestibulum faucibus velit a augue condimentum quis convallis nulla gravida
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\clearpage
%------------------------------------------------
\section{Simulations}
%How to include a theorem in this presentation:
%\begin{verbatim}
%\mybox{0.8\textwidth}{
%\begin{theorem}[Murphy (1949)]
%Anything that can go wrong, will go wrong.
%\end{theorem}
%}
%\end{verbatim}
\begin{enumerate}
\item Probability of Un-recoverability
\item Outage Probability
\end{enumerate}
\clearpage
%------------------------------------------------
\begin{figure}[h]
\centering\includegraphics[width=0.7\linewidth]{PROB_Normal1}
\caption{Probability of Un-recoverability}
\end{figure}
\clearpage
%------------------------------------------------
\begin{figure}[h]
\centering\includegraphics[width=0.7\linewidth]{RAYLEIGH_nonprime}
\caption{Probability of Un-recoverability}
\end{figure}
\clearpage
%------------------------------------------------
\begin{figure}[h]
\centering\includegraphics[width=0.69\linewidth]{RAYLEIGH_prime}
\caption{Probability of Un-recoverability}
\end{figure}
\clearpage
%------------------------------------------------
\begin{figure}[h]
\centering\includegraphics[width=0.7\linewidth]{OUTAGE10}
\caption{Outage Probability}
\end{figure}
\clearpage
%------------------------------------------------
\begin{figure}[h]
\centering\includegraphics[width=0.7\linewidth]{OUTAGE_ray}
\caption{Outage Probability}
\end{figure}
\clearpage
%------------------------------------------------
\section{Implementation}
\begin{figure}[h]
\centering\includegraphics[width=0.59\linewidth]{implement}
\end{figure}
\clearpage
%------------------------------------------------
%\subsection{Table}
%\begin{table}[h]
%\centering
%\begin{tabular}{l l l}
%\toprule
%\textbf{Treatments} & \textbf{Response 1} & \textbf{Response 2}\\
%\midrule
%Treatment 1 & 0.0003262 & 0.562 \\
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%\caption{Table caption}
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%\clearpage
%------------------------------------------------
%\subsection{Figure}
%\begin{figure}[h]
%\centering\includegraphics[width=0.4\linewidth]{placeholder}
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%\clearpage
%------------------------------------------------
%\subsection{Theorem}
%The most common definition of \mygreen{Murphy's Law} is as follows.
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%\begin{theorem}[Murphy (1949)]
%Anything that can go wrong, will go wrong.
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%A special case of this theorem is proven in the textbook.
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%------------------------------------------------
%\section{Citations}
%An example of the \texttt{\textbackslash cite} command to cite within %the presentation:
%This statement requires citation \cite{Smith:2012qr}.
%\clearpage
%------------------------------------------------
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%------------------------------------------------
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% Text within the box
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\color{white}\sffamily
{\bfseries\LARGE Thank you\par}
{\bfseries\LARGE Marek Zacharda\par}% Request for questions text
\vfill
\end{flushright}
\clearpage
%----------------------------------------------------------------------------------------
\section{Questions}
\begin{remark}
Vysvetlite presne matematicky ako suvisi siet typu motyl s obr. 2.
\end{remark}
%\vspace{\figurespace}
\begin{center}
\includegraphics[width=0.2\linewidth]{butterfly}
\includegraphics[width=0.49\linewidth]{achievable_rates}
\end{center}
%\begin{figure}[h]
%\left\includegraphics[width=0.2\linewidth]{butterfly}
%\end{figure}
\clearpage
%----------------------------------------------------------------------------------------
\begin{proof}
fdfs
\end{proof}
\end{document}