45 lines
2.1 KiB
TeX
45 lines
2.1 KiB
TeX
\chapter*{Abstract (Master Theses only)}
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This is an abstract. It should be about half a page to a page in length.
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It mostly serves as clarification for what to expect when reading the thesis:
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What is your topic, what are the most striking results, what's the process of
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getting these.
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It is \emph{not} an introduction to the topic (that's what the introduction
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chapter is for). Now, for a few lines of content:
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Polar codes are the first codes to asymptotically achieve channel capacity with low complexity encoders and decoders.
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They were first introduced by Erdal Arikan in 2009 \cite{polar:arikan09}.
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Channel coding has always been a challenging task because it draws a lot of resources, especially in software implementations.
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Software Radio is getting more prominent because it offers several advantages among which are higher flexibility and better maintainability.
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Future radio systems are aimed at being run on virtualized servers instead of dedicated hardware in base stations \cite{cloudran:2015}.
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Polar codes may be a promising candidate for future radio systems if they can be implemented efficiently in software.
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In this thesis the theory behind polar codes and a polar code implementation in GNU Radio is presented.
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This implementation is then evaluated regarding parameterization options and their impact on error correction performance.
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The evaluation includes a comparison to state-of-the-art \ac{LDPC} codes.
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\begin{figure}[h]
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\begin{subfigure}[t]{.49\textwidth}
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\begin{center}
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\def\dist{1.5}
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\def\power{3}
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\input{figures/polar_nbit_encoder_natural}
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\caption{8 bit polar encoder}
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\label{abs:polar_8bit_encoder_natural}
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\end{center}
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\end{subfigure}\,%
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\begin{subfigure}[t]{.49\textwidth}
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\begin{center}
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\def\dist{1.5}
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\def\power{3}
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\input{figures/polar_nbit_decoder}
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\caption{8 bit polar decoder}
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\label{abs:polar_8bit_decoder}
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\end{center}
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\end{subfigure}%
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\caption{Polar code encoding and decoding}
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\label{abs:encoder-decoder}
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\end{figure}
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The polar encoder is shown in Fig. \ref{abs:polar_8bit_encoder_natural}.
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