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Andreas Tsouchlos 2023-04-24 20:57:02 +02:00
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latex/thesis/chapters/lp_dec_using_admm.tex
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@ -1379,7 +1379,7 @@ using \ac{ADMM} and \ac{BP} are shown for various codes.
To ensure comparability, in all cases the number of iterations was set to To ensure comparability, in all cases the number of iterations was set to
$K=200$. $K=200$.
The values of the other parameters were chosen as $\mu = 5$, $\rho = 1$, The values of the other parameters were chosen as $\mu = 5$, $\rho = 1$,
$\epsilon = 10^{-5}$ and $\epsilon=10^{-5}$. $\epsilon_\text{pri} = 10^{-5}$ and $\epsilon_\text{dual}=10^{-5}$.
Comparing the simulation results for the different codes, it is apparent that Comparing the simulation results for the different codes, it is apparent that
the difference in decoding performance depends on the code being the difference in decoding performance depends on the code being
considered. considered.

9
latex/thesis/chapters/proximal_decoding.tex
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@ -1,4 +1,4 @@
\chapter{Proximal Decoding and Implementation}% \chapter{Proximal Decoding}%
\label{chapter:proximal_decoding} \label{chapter:proximal_decoding}
In this chapter, the proximal decoding algorithm is examined. In this chapter, the proximal decoding algorithm is examined.
@ -10,7 +10,7 @@ Finally, an improvement on proximal decoding is proposed.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Decoding Algorithm}% \section{Decoding Algorithm and Implementation}%
\label{sec:prox:Decoding Algorithm} \label{sec:prox:Decoding Algorithm}
Proximal decoding was proposed by Wadayama et al. as a novel formulation of Proximal decoding was proposed by Wadayama et al. as a novel formulation of
@ -1265,9 +1265,8 @@ error are strongly correlated, a relationship being depicted in figure
\label{fig:prox:correlation} \label{fig:prox:correlation}
\end{figure}% \end{figure}%
% %
The y-axis depicts whether there is a bit error and the x-axis the The x-axis depicts the variance in $\nabla h\left( \tilde{\boldsymbol{x}} \right)$
variance in $\nabla h\left( \tilde{\boldsymbol{x}} \right)$ after the after the 100th iteration, and the y-axis depicts whether there is a bit error.
100th iteration.
While this is not exactly the magnitude of the oscillation, it is While this is not exactly the magnitude of the oscillation, it is
proportional and easier to compute. proportional and easier to compute.
The datapoints are taken from a single decoding operation. The datapoints are taken from a single decoding operation.