\documentclass[10pt]{beamer} \usetheme{umbc2} \useinnertheme{umbcboxes} \setbeamercolor{umbcboxes}{bg=violet!12,fg=black} \usepackage{longtable} \usepackage{tabu} \newcommand{\ul}{\underline} \newcommand{\be}{\begin{equation}} \newcommand{\ee}{\end{equation}} \newcommand{\bdm}{\begin{displaymath}} \newcommand{\edm}{\end{displaymath}} \newcommand{\bea}{\begin{eqnarray}} \newcommand{\eea}{\end{eqnarray}} \newcommand{\bsea}{\begin{subeqnarray}} \newcommand{\esea}{\end{subeqnarray}} \newcommand{\mb}[1]{\mbox{#1}} \newcommand{\mc}[3]{\multicolumn{#1}{#2}{#3}} \newcommand{\bm}[1]{\mbox{\bf #1}} \newcommand{\bmm}[1]{\mbox{\boldmath$#1$\unboldmath}} \newcommand{\bmell}{\bmm\ell} \newcommand{\hateps}{\widehat{\bmm\varepsilon}} \newcommand{\graybox}[1]{\psboxit{box .9 setgray fill}{\fbox{#1}}} \newcommand{\mdeg}[1]{\mbox{$#1^{\mbox{\scriptsize o}}$}} \newcommand{\dd}{\mbox{\footnotesize{$\nabla \! \Delta$}}} \newcommand{\p}{\partial\,} \renewcommand{\d}{\mbox{d}} \newcommand{\dspfrac}{\displaystyle\frac} \newcommand{\nl}{\\[4mm]} \title{GNSS-Auswertung in Echtzeit} \author{Leo\v{s} Mervart} \institute{TU Prag} \date{Frankfurt, Januar 2014} % \AtBeginSection[] % { % \begin{frame} % \frametitle{Table of Contents} % \tableofcontents[currentsection] % \end{frame} % } \begin{document} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame} \titlepage \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \begin{frame} \frametitle{Table of Contents} \tableofcontents \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \section{PPP NB} \subsection{Principles} \begin{frame} \frametitle{Principles of PPP NB (Non-Bias) Service} \framesubtitle{Observation Equations} The PPP~NB is based on the processing of the ionosphere-free linear combination of phase observations \be L^{ij}_3 = \varrho^{ij} - c\delta^{ij} + T^{ij} + \bar{N}^{ij}_3 ~, \ee where the ambiguity term is given by \be \bar{N}^{ij}_3 = N^{ij}_3 - l^{ij}_3 = \frac{c\;f_2}{f^2_1-f^2_2}\;(n^{ij}_1-n^{ij}_2) + \lambda_3\;n^{ij}_1 - l^{ij}_3 \ee and the ionosphere-free linear combination of code observations \be P^{ij}_3 = \varrho^{ij} - c\delta^{ij} + T^{ij} + p^{ij}_3 ~, \ee where the code bias $p^{ij}_3$ is the linear combination of biases $p^{ij}_1,p^{ij}_2$ \end{frame} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \end{document}