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-rw-r--r--doc/slides/slides.tex159
1 files changed, 148 insertions, 11 deletions
diff --git a/doc/slides/slides.tex b/doc/slides/slides.tex
index 5ec08bc..ae1e81b 100644
--- a/doc/slides/slides.tex
+++ b/doc/slides/slides.tex
@@ -1,3 +1,5 @@
+% !TeX program = xelatex
+% !TeX encoding = utf8
\documentclass[xetex, onlymath, handout]{beamer}
\usefonttheme{serif}
\usetheme{hsr}
@@ -5,6 +7,26 @@
% 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}
@@ -37,31 +59,146 @@
\section{Multipath Fading}
-\begin{frame}{Multipath fading}
- \begin{itemize}
- \item Hello
- \end{itemize}
+\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}
-\begin{frame}{Multipath fading}
+
+\subsection{Statistical model}
+
+\begin{frame}[fragile]{Statistical model}
\begin{columns}
\begin{column}{.5\linewidth}
\begin{itemize}
- \item Hello
- \end{itemize}
+ \item Raileigh distribution (NLOS)
+ \item Rician distribution (LOS)
+ \end{itemize}
\end{column}
\begin{column}{.5\linewidth}
- \begin{itemize}
- \item Hello
- \end{itemize}
+ \begin{figure}
+ \centering
+ \resizebox{!}{4cm}{%
+ \input{figures/tikz/ring-of-scattering-objects}
+ }
+ \end{figure}
\end{column}
\end{columns}
\end{frame}
-\section{Channel model}
+
+
+
\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}
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