% $Header: /cvsroot/latex-beamer/latex-beamer/solutions/conference-talks/conference-ornate-20min.en.tex,v 1.7 2007/01/28 20:48:23 tantau Exp $

\documentclass{beamer}

% This file is a solution template for:

% - Talk at a conference/colloquium.

% - Talk length is about 20min.

% - Style is ornate.

% Copyright 2004 by Till Tantau <tantau@users.sourceforge.net>.

%

% In principle, this file can be redistributed and/or modified under

% the terms of the GNU Public License, version 2.

%

% However, this file is supposed to be a template to be modified

% for your own needs. For this reason, if you use this file as a

% template and not specifically distribute it as part of a another

% package/program, I grant the extra permission to freely copy and

% modify this file as you see fit and even to delete this copyright

% notice.

\mode<presentation>

{

  \usetheme{Hannover}

  % or ...

  \setbeamercovered{transparent}

  % or whatever (possibly just delete it)

}

%\usepackage{setspace} %for "\begin{onehalfspace}"

\usepackage[english]{babel}

% or whatever

\usepackage[utf8]{inputenc}

% or whatever

\usepackage{times}

\usepackage[T1]{fontenc}

% Or whatever. Note that the encoding and the font should match. If T1

% does not look nice, try deleting the line with the fontenc.

\def\isac{${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal AC}$}

\def\sisac{{\footnotesize${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal AC}$}}

\title[TODO] % (optional, use only with long paper titles)

{TODO}

\subtitle{TODO}

\author[Rocnik] % (optional, use only with lots of authors)

{Jan~Rocnik}

% - Give the names in the same order as the appear in the paper.

% - Use the \inst{?} command only if the authors have different

%   affiliation.

\institute % (optional, but mostly needed)

{

  Technische Universit\"at Graz\\

  Institut f\"ur TODO

}

% - Use the \inst command only if there are several affiliations.

% - Keep it simple, no one is interested in your street address.

% \date[CFP 2003] % (optional, should be abbreviation of conference name)

% {Conference on Fabulous Presentations, 2003}

% - Either use conference name or its abbreviation.

% - Not really informative to the audience, more for people (including

%   yourself) who are reading the slides online

% \subject{Theoretical Computer Science}

% This is only inserted into the PDF information catalog. Can be left

% out.

% If you have a file called "university-logo-filename.xxx", where xxx

% is a graphic format that can be processed by latex or pdflatex,

% resp., then you can add a logo as follows:

% \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}

% \logo{\pgfuseimage{university-logo}}

% Delete this, if you do not want the table of contents to pop up at

% the beginning of each subsection:

\AtBeginSubsection[]

{

  \begin{frame}<beamer>{Outline}

    \tableofcontents[currentsection,currentsubsection]

  \end{frame}

}

% If you wish to uncover everything in a step-wise fashion, uncomment

% the following command:

%\beamerdefaultoverlayspecification{<+->}

\begin{document}

\begin{frame}

  \titlepage

\end{frame}

\begin{frame}{Outline}

  \tableofcontents

  % You might wish to add the option [pausesections]

\end{frame}

% Structuring a talk is a difficult task and the following structure

% may not be suitable. Here are some rules that apply for this

% solution:

% - Exactly two or three sections (other than the summary).

% - At *most* three subsections per section.

% - Talk about 30s to 2min per frame. So there should be between about

%   15 and 30 frames, all told.

% - A conference audience is likely to know very little of what you

%   are going to talk about. So *simplify*!

% - In a 20min talk, getting the main ideas across is hard

%   enough. Leave out details, even if it means being less precise than

%   you think necessary.

% - If you omit details that are vital to the proof/implementation,

%   just say so once. Everybody will be happy with that.

\section[Fourier]{Fourier Transformation}

\subsection[]{Fourier Reihenentwicklung}

\begin{frame}\frametitle{TODO}

TODO

\end{frame}

\subsection[]{Fourier Transformation}

\begin{frame}\frametitle{Fourier Transformation Bsp 1}

TODO

\end{frame}

\subsection[]{}

\begin{frame}\frametitle{Fourier Transformation Bsp 2a}

TODO

\end{frame}

\begin{frame}\frametitle{Fourier Transformation Bsp 2b}

Aufgabenstellung von Bernhard

\end{frame}

\begin{frame}\frametitle{Fourier Transformation Bsp 2b}

\footnotesize{

\begin{tabbing}

000\=\kill

01 \> ${\cal F}\;(x(t-2)) =$\\

      \`${\cal F}\;(x(t-T)) = e^{-j\cdot\omega\cdot T}\cdot X\;j\cdot\omega$\\

02 \> $e^{-j\cdot\omega\cdot 2}\cdot X\;(j\cdot\omega)$\\

      \`definition $X\;(j\cdot\omega)$\\

03 \> $e^{-j\cdot\omega\cdot 2}\cdot \int_{-\infty}^\infty x\;t\;\cdot e^{-j\cdot\omega\cdot t} d t$\\

      \` $x\;t = 1\;{\it for}\;\{x.\;-1\leq t\;\land\;t\leq 1\}\;{\it and}\;x\;t=0\;{\it otherwise}$\\

04 \> $e^{-j\cdot\omega\cdot 2}\cdot \int_{-1}^1 1\cdot e^{-j\cdot\omega\cdot t} d t$\\

      \` $\int_a^b f\;t\;dt = \int f\;t\;dt\;|_a^b$\\

05 \> $e^{-j\cdot\omega\cdot 2}\cdot \int 1\cdot e^{-j\cdot\omega\cdot t} d t\;|_{-1}^1$\\

      \` $\int e^{a\cdot t} = \frac{1}{a}\cdot e^{a\cdot t}$\\

06 \> $e^{-j\cdot\omega\cdot 2}\cdot (\frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot t} \;|_{-1}^1)$\\

      \` $f\;t\;|_a^b = f\;b-f\;a$\\

07 \> $e^{-j\cdot\omega\cdot 2}\cdot (\frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot 1} -  \frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot -1})$\\

\vdots\` simplification+factorization in $\cal C$\\

08 \> $e^{-j\cdot\omega\cdot 2}\cdot \frac{1}{-j\cdot\omega}\cdot(e^{j\cdot\omega} - e^{-j\cdot\omega})$\\

      \` trick~!\\

09 \> $e^{-j\cdot\omega\cdot 2}\cdot \frac{1}{\omega}\cdot(\frac{-e^{j\cdot\omega} + e^{-j\cdot\omega}}{j})$\\

      \` table\\

10 \> $e^{-j\cdot\omega\cdot 2}\cdot 2\cdot\frac{\sin\;\omega}{\omega}$

\end{tabbing}

}

\end{frame}

\begin{frame}\frametitle{Fourier Transformation Bsp 2b}

Voraussetzungen

\end{frame}

\begin{frame}\frametitle{Fourier Transformation Bsp 2b - Tabelle}

TODO

\end{frame}

\section[]{Faltung}

%\subsection[Isabelle \& \isac]{Isabelle and \isac}

\begin{frame}\frametitle{TODO}

TODO

\end{frame}

\section[]{Inverse ${\cal Z}$ Transformation}

%\subsection[Isabelle \& \isac]{Isabelle and \isac}

\begin{frame}\frametitle{TODO}

TODO

\end{frame}

\section[]{Indextranformation}

%\subsection[Isabelle \& \isac]{Isabelle and \isac}

\begin{frame}\frametitle{TODO}

TODO

\end{frame}

\end{document}