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% !TeX program = xelatex
% !TeX encoding = utf8
% !TeX root = slides.tex
\documentclass[xetex, onlymath, handout]{beamer}
\usefonttheme{serif}
\usetheme{hsr}
% use lmodern for math
\usepackage{lmodern}
\usepackage{tex/docmacros}
%% Pretty figures
\usepackage{circuitikz} % Electric diagrams
\usepackage{pgfplots} % Pretty plots
\usepackage{tikz} % Pretty drawings
\usepackage{tikz-3dplot} % More dimensions!
\usetikzlibrary{
external,
calc,
positioning,
backgrounds,
decorations.pathreplacing,
calligraphy,
decorations.markings,
matrix,
arrows,
patterns,
}
\pgfplotsset{compat=newest}
% math packages
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage[T1]{fontenc}
\usepackage{beramono} % monospaced
\usepackage{roboto} % other
\renewcommand*\familydefault{\sfdefault}
% metadata
\title{Multipath Fading Demonstration Platform using Software Defined Radio}
\author{Naoki Sean Pross \and Sara Cinzia Halter}
\date{23. December 2021}
\institute[OST]{OST FHO Campus Rapperswil}
\AtBeginSection[]
{
\begin{frame}{Table of Contents}
\tableofcontents[currentsection]
\end{frame}
}
\begin{document}
\frame{
\maketitle
}
\section{Multipath Fading}
\begin{frame}{Multipath fading}
\begin{figure}
\centering
\input{figures/tikz/multipath-sketch}
\end{figure}
\vspace{\baselineskip}
\[
r(t) = \sum_k c_k s(t - \tau_k).
\]
\end{frame}
\begin{frame}[fragile]{Impulse reponse of a multipath fading channel}
\begin{figure}
\centering
\input{figures/tikz/multipath-impulse-response}
\end{figure}
\[
h(\tau, t) = \sum_k c_k(t) \delta(\tau - \tau_k(t))
\]
\end{frame}
\begin{frame}[fragile]{Spectrum of a multipath fading channel}
\begin{figure}
\centering
\resizebox{\linewidth}{!}{
\input{figures/tikz/multipath-frequency-response-plots}
}
\end{figure}
\end{frame}
\subsection{Discrete-time model}
\begin{frame}[fragile]{Discrete-time and FIR}
\begin{figure}
\centering
\resizebox{\linewidth}{!}{
\input{figures/tikz/tapped-delay-line}
}
\end{figure}
\vspace{\baselineskip}
\[
h_l(m) = \sum_k c_k(mT) \sinc\left(l - \frac{\tau_k(mT)}{T}\right)
\]
\end{frame}
\subsection{Statistical model}
\begin{frame}[fragile]{Statistical model}
\begin{columns}
\begin{column}{.4\linewidth}
Assuming WSSUS
\[
\theta_k \sim \mathcal{U}(0, 2\pi)
\]
The NLOS Fading
\[
f = \lim_{N \to \infty} \frac{1}{\sqrt{N}} \sum_{k=1}^N e^{j\theta_k}
\]
\[
f \sim \mathrm{ Rayleigh}
\]
if there is a LOS
\[
f \sim \mathrm{ Rice}(K)
\]
\end{column}
\begin{column}{.6\linewidth}
\begin{figure}
\centering
\resizebox{\linewidth}{!}{%
\input{figures/tikz/ring-of-scattering-objects}
}
\end{figure}
\end{column}
\end{columns}
\end{frame}
\section{Implementation}
%TODO: Mabe picture Hardware, Bicture GR.
\begin{frame}{Block Diagram}
\begin{figure}
\centering
\resizebox{.9\linewidth}{!}{
\input{figures/tikz/overview}
}
\end{figure}
\end{frame}
\subsection{Transmitter and Receiver Chains}
\begin{frame}{Transmitter}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{figures/picture/PC210002}
\end{figure}
\end{frame}
\begin{frame}{Framed data packets}
\begin{figure}
\centering
\resizebox{\linewidth}{!}{
\input{figures/tikz/packet-frame}
}
\end{figure}
\begin{itemize}
\item Very short payload
\item \(k\)-Byte preamble is a Barker code \texttt{0x1f35} for Sync
\item Should be replaced with CAZAC
\end{itemize}
\end{frame}
\begin{frame}{Receiver}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{figures/picture/PC210011}
\end{figure}
\end{frame}
% \begin{frame}{Tools}
% \begin{columns}
% \begin{column}{.5\linewidth}
% \begin{itemize}
% \item Software Stack
% \begin{itemize}
% \item GNU Radio
% \item Dear PyGUI
% \end{itemize}
% \item Hardware
% \begin{itemize}
% \item USRP B210
% \end{itemize}
% \end{itemize}
% \end{column}
% \begin{column}{.5\linewidth}
% \begin{figure}
% \centering
% \includegraphics[width = \linewidth]{figures/screenshots/gui_screenshot}
% \end{figure}
% \end{column}
% \end{columns}
% \end{frame}
\subsection{Channel model}
\begin{frame}{Discrete-time model}
\begin{columns}
\begin{column}{.4\linewidth}
\includegraphics[width=\linewidth]{figures/screenshots/FIR_block}
\vspace{1cm}
\begin{itemize}
\item FIR filter
\item Allows non integer delays
\end{itemize}
\end{column}
\begin{column}{.6\linewidth}
\begin{figure}
\centering
\includegraphics[width=0.8\linewidth]{figures/screenshots/Fractional_delay_6}\\
\includegraphics[width=0.8\linewidth]{figures/screenshots/Fractional_delay_637}
\end{figure}
\end{column}
\end{columns}
\end{frame}
\begin{frame}{Statistical model}
\begin{figure}
\centering
\includegraphics[width=\linewidth]{figures/screenshots/FSFM}
\end{figure}
\end{frame}
\section{Conclusion}
\begin{frame}{Further steps}
\begin{figure}
\centering
\includegraphics[width = \linewidth]{figures/xiaoyi-psam-figures}
\end{figure}
\begin{itemize}
\item Improve BER measurements and simulations
\item Improvements in the GUI front-end
\item Portable transmitter on a Raspberry PI
\item Channel parameters estimation with PSAM
\end{itemize}
\end{frame}
\section{Demonstration}
\begin{frame}{Demonstration}
\begin{itemize}
\item Simulation
\begin{itemize}
\item Discrete-time model
\item Statistical model
\end{itemize}
\item Hardware
\end{itemize}
\end{frame}
%%Tools
\end{document}
% vim:et:ts=2:sw=2:wrap:nolinebreak:
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