1 |
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2 | \documentclass[10pt]{beamer}
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3 | \usetheme{umbc2}
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4 | \useinnertheme{umbcboxes}
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5 | \setbeamercolor{umbcboxes}{bg=violet!12,fg=black}
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6 |
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7 | \usepackage{longtable}
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8 | \usepackage{tabu}
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9 |
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10 | \newcommand{\ul}{\underline}
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11 | \newcommand{\be}{\begin{equation}}
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12 | \newcommand{\ee}{\end{equation}}
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13 | \newcommand{\bdm}{\begin{displaymath}}
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14 | \newcommand{\edm}{\end{displaymath}}
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15 | \newcommand{\bea}{\begin{eqnarray}}
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16 | \newcommand{\eea}{\end{eqnarray}}
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17 | \newcommand{\bsea}{\begin{subeqnarray}}
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18 | \newcommand{\esea}{\end{subeqnarray}}
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19 | \newcommand{\mb}[1]{\mbox{#1}}
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20 | \newcommand{\mc}[3]{\multicolumn{#1}{#2}{#3}}
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21 | \newcommand{\bm}[1]{\mbox{\bf #1}}
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22 | \newcommand{\bmm}[1]{\mbox{\boldmath$#1$\unboldmath}}
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23 | \newcommand{\bmell}{\bmm\ell}
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24 | \newcommand{\hateps}{\widehat{\bmm\varepsilon}}
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25 | \newcommand{\graybox}[1]{\psboxit{box .9 setgray fill}{\fbox{#1}}}
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26 | \newcommand{\mdeg}[1]{\mbox{$#1^{\mbox{\scriptsize o}}$}}
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27 | \newcommand{\dd}{\mbox{\footnotesize{$\nabla \! \Delta$}}}
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28 | \newcommand{\p}{\partial\,}
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29 | \renewcommand{\d}{\mbox{d}}
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30 | \newcommand{\dspfrac}{\displaystyle\frac}
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31 | \newcommand{\nl}{\\[4mm]}
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32 |
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33 | \title{GNSS-Auswertung in Echtzeit}
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34 |
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35 | \author{Leo\v{s} Mervart}
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36 |
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37 | \institute{TU Prag}
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38 |
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39 | \date{Frankfurt, Januar 2014}
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40 |
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41 | % \AtBeginSection[]
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42 | % {
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43 | % \begin{frame}
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44 | % \frametitle{Table of Contents}
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45 | % \tableofcontents[currentsection]
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46 | % \end{frame}
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47 | % }
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48 |
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49 | \begin{document}
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50 |
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51 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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52 |
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53 | \begin{frame}
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54 | \titlepage
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55 | \end{frame}
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56 |
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57 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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58 |
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59 | \begin{frame}
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60 | \frametitle{Table of Contents}
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61 | \tableofcontents
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62 | \end{frame}
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63 |
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64 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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65 |
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66 | \section{PPP NB}
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67 | \subsection{Principles}
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68 |
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69 | \begin{frame}
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70 | \frametitle{Principles of PPP NB (Non-Bias) Service}
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71 | \framesubtitle{Observation Equations}
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72 |
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73 | The PPP~NB is based on the processing of the ionosphere-free linear combination of phase
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74 | observations
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75 | \be
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76 | L^{ij}_3 = \varrho^{ij} - c\delta^{ij} + T^{ij} + \bar{N}^{ij}_3 ~,
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77 | \ee
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78 | where the ambiguity term is given by
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79 | \be
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80 | \bar{N}^{ij}_3 = N^{ij}_3 - l^{ij}_3
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81 | = \frac{c\;f_2}{f^2_1-f^2_2}\;(n^{ij}_1-n^{ij}_2) + \lambda_3\;n^{ij}_1 - l^{ij}_3
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82 | \ee
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83 | and the ionosphere-free linear combination of code observations
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84 | \be
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85 | P^{ij}_3 = \varrho^{ij} - c\delta^{ij} + T^{ij} + p^{ij}_3 ~,
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86 | \ee
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87 | where the code bias $p^{ij}_3$ is the linear combination of biases
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88 | $p^{ij}_1,p^{ij}_2$
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89 | \end{frame}
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90 |
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91 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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92 |
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93 | \end{document}
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