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Diffstat (limited to 'doc')
| -rw-r--r-- | doc/slides/slides.tex | 159 |
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} % vim:et:ts=2:sw=2:wrap:nolinebreak: |