\chapter{Decoding Techniques}% \label{chapter:decoding_techniques} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Decoding using Optimization Methods}% \label{sec:dec:Decoding using Optimization Methods} \begin{itemize} \item General methodology \end{itemize} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{LP Decoding using ADMM}% \label{sec:dec:LP Decoding using ADMM} \begin{itemize} \item Equivalent ML optimization problem \item LP relaxation \item ADMM as a solver \end{itemize} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{Proximal Decoding}% \label{sec:dec:Proximal Decoding} \begin{itemize} \item Formulation of optimization problem \item Proximal gradient method as a solver \end{itemize}