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Diffstat (limited to 'doc/slides/slides.tex')
| -rw-r--r-- | doc/slides/slides.tex | 173 |
1 files changed, 101 insertions, 72 deletions
diff --git a/doc/slides/slides.tex b/doc/slides/slides.tex index ae1e81b..e355794 100644 --- a/doc/slides/slides.tex +++ b/doc/slides/slides.tex @@ -1,5 +1,6 @@ % !TeX program = xelatex % !TeX encoding = utf8 +% !TeX root = slides.tex \documentclass[xetex, onlymath, handout]{beamer} \usefonttheme{serif} \usetheme{hsr} @@ -7,6 +8,8 @@ % use lmodern for math \usepackage{lmodern} +\usepackage{tex/docmacros} + %% Pretty figures \usepackage{circuitikz} % Electric diagrams \usepackage{pgfplots} % Pretty plots @@ -59,100 +62,88 @@ \section{Multipath Fading} -\begin{frame}{Multipath Fading sketch} +\begin{frame}{Multipath fading} \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} + \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}{Spectrum of a multipath fading channel} +\begin{frame}[fragile]{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{frame}[fragile]{Discrete-time and FIR} \begin{figure} \centering - \input{figures/tikz/tapped-delay-line} + \resizebox{\linewidth}{!}{ + \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} + \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}{.5\linewidth} - \begin{itemize} - \item Raileigh distribution (NLOS) - \item Rician distribution (LOS) - \end{itemize} + \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}{.5\linewidth} - \begin{figure} - \centering - \resizebox{!}{4cm}{% - \input{figures/tikz/ring-of-scattering-objects} - } - \end{figure} + \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}{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{frame}{Block Diagram} \begin{figure} \centering \resizebox{.9\linewidth}{!}{ @@ -162,26 +153,65 @@ \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} -\subsection{Transmitter and Receiver chain} - -\begin{frame}{Transmitter chain} - +\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 chain} - +\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{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} @@ -198,7 +228,6 @@ %%Tools - \end{document} % vim:et:ts=2:sw=2:wrap:nolinebreak: |