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% !TeX program = xelatex
% !TeX encoding = utf8
\documentclass[xetex, onlymath, handout]{beamer}
\usefonttheme{serif}
\usetheme{hsr}
% use lmodern for math
\usepackage{lmodern}
%% 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 sketch}
\begin{figure}
\centering
\input{figures/tikz/multipath-sketch}
\end{figure}
\begin{equation} \label{eqn:multipath-impulse-response}
h(\tau, t) = \sum_k c_k(t) \delta(\tau - \tau_k(t)),
\end{equation}
\end{frame}
\begin{frame}{Spectrum of a multipath fading channel}
\begin{figure}
\centering
\resizebox{\linewidth}{!}{
\input{figures/tikz/multipath-frequency-response-plots}
% \skelfig[width = .8 \linewidth, height = 3cm]{}
}
\end{figure}
\begin{equation}
H(f, t) = \int_\mathbb{R} \sum_k c_k(t) \delta(\tau - \tau_k(t)) e^{-2\pi jf\tau} \, d\tau
= \sum_k c_k(t) e^{-2\pi jf \tau_k(t)}.
\end{equation}
\end{frame}
\subsection{Discrete-time model}
\begin{frame}{Discrete-time model}
\begin{figure}
\centering
\input{figures/tikz/tapped-delay-line}
\end{figure}
\begin{equation}
h_l(m) = \sum_k c_k(mT) \sinc(l - \tau(mT)/T)
\end{equation}
\end{frame}
\subsection{Statistical model}
\begin{frame}[fragile]{Statistical model}
\begin{columns}
\begin{column}{.5\linewidth}
\begin{itemize}
\item Raileigh distribution (NLOS)
\item Rician distribution (LOS)
\end{itemize}
\end{column}
\begin{column}{.5\linewidth}
\begin{figure}
\centering
\resizebox{!}{4cm}{%
\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}{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[frame, width = \linewidth]{figures/screenshots/gui_screenshot}
\end{figure}
\end{column}
\end{columns}
\end{frame}
\begin{frame}{Blockdiagram}
\begin{figure}
\centering
\resizebox{.9\linewidth}{!}{
\input{figures/tikz/overview}
}
\end{figure}
\end{frame}
\subsection{Transmitter and Receiver chain}
\begin{frame}{Transmitter chain}
\end{frame}
\begin{frame}{Receiver chain}
\end{frame}
\subsection{Channel model}
\begin{frame}{Discrete-time model}
\begin{figure}
\centering
\input{figures/tikz/qpsk-simulations-static}
\end{figure}
the 1 tap model the fading tap was \(0.2\delta(n - 0.25)\), and for the 4 tap model uses \(0.2 \delta(n - 0.25) + 0.08 \delta(n - 3.25) + 0.5 \delta(n - 4) + 0.4 \delta(n - 6.3)\). In both cases the delays are given in samples.
\end{frame}
\begin{frame}{Statistical model}
\end{frame}
\section{Conclusion}
\begin{frame}{Further steps}
\end{frame}
\section{Measurement/Demonstration}
%%Tools
\end{document}
% vim:et:ts=2:sw=2:wrap:nolinebreak:
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