55 lines
1.4 KiB
TeX
55 lines
1.4 KiB
TeX
\chapter{Theoretical Background}%
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\label{chapter:theoretical_background}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Preliminaries: Channel Model and Modulation}
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\label{sec:theo:Preliminaries: Channel Model and Modulation}
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\begin{itemize}
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\item AWGN
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\item BPSK
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\end{itemize}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Notation}
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\label{sec:theo:Notation}
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\begin{itemize}
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\item General remarks on notation (matrices, PDF, etc.)
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\item Diagram from midterm presentation
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\end{itemize}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Channel Coding with LDPC Codes}
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\label{sec:theo:Channel Coding with LDPC Codes}
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\begin{itemize}
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\item Introduction
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\item Binary linear codes
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\item LDPC codes
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\end{itemize}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Decoding LDPC Codes using Belief Propagation}
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\label{sec:theo:Decoding LDPC Codes using Belief Propagation}
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\begin{itemize}
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\item Introduction to message passing
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\item Overview of BP altorithm
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\end{itemize}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Optimization Methods}
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\label{sec:theo:Optimization Methods}
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\begin{itemize}
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\item ADMM
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\item Proximal gradient method
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\end{itemize}
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