source: ntrip/trunk/BNC/txt/frankfurt.tex@ 5606

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2\documentclass[10pt]{beamer}
3\usetheme{umbc2}
4\useinnertheme{umbcboxes}
5\setbeamercolor{umbcboxes}{bg=violet!12,fg=black}
6
7\usepackage{longtable}
8\usepackage{tabu}
9
10\newcommand{\ul}{\underline}
11\newcommand{\be}{\begin{equation}}
12\newcommand{\ee}{\end{equation}}
13\newcommand{\bdm}{\begin{displaymath}}
14\newcommand{\edm}{\end{displaymath}}
15\newcommand{\bea}{\begin{eqnarray}}
16\newcommand{\eea}{\end{eqnarray}}
17\newcommand{\bsea}{\begin{subeqnarray}}
18\newcommand{\esea}{\end{subeqnarray}}
19\newcommand{\mb}[1]{\mbox{#1}}
20\newcommand{\mc}[3]{\multicolumn{#1}{#2}{#3}}
21\newcommand{\bm}[1]{\mbox{\bf #1}}
22\newcommand{\bmm}[1]{\mbox{\boldmath$#1$\unboldmath}}
23\newcommand{\bmell}{\bmm\ell}
24\newcommand{\hateps}{\widehat{\bmm\varepsilon}}
25\newcommand{\graybox}[1]{\psboxit{box .9 setgray fill}{\fbox{#1}}}
26\newcommand{\mdeg}[1]{\mbox{$#1^{\mbox{\scriptsize o}}$}}
27\newcommand{\dd}{\mbox{\footnotesize{$\nabla \! \Delta$}}}
28\newcommand{\p}{\partial\,}
29\renewcommand{\d}{\mbox{d}}
30\newcommand{\dspfrac}{\displaystyle\frac}
31\newcommand{\nl}{\\[4mm]}
32
33\title{Processing GNSS Data in Real-Time}
34
35\author{Leo\v{s} Mervart}
36
37\institute{TU Prague}
38
39\date{Frankfurt, January 2014}
40
41% \AtBeginSection[]
42% {
43% \begin{frame}
44% \frametitle{Table of Contents}
45% \tableofcontents[currentsection]
46% \end{frame}
47% }
48
49\begin{document}
50
51%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
52
53\begin{frame}
54 \titlepage
55\end{frame}
56
57%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
58
59\begin{frame}
60\frametitle{Medieval Times of GNSS (personal memories)}
61
62\begin{description}
63\item[1991] Prof. Gerhard Beutler became the director of the Astronomical Institute, University of
64 Berne. The so-called Bernese GPS Software started to be used for (post-processing) analyzes of
65 GNSS data.
66\item[1992] LM started his PhD study at AIUB.
67\item[1992] Center for Orbit Determination in Europe (consortium of AIUB, Swisstopo, BKG, IGN, and
68 IAPG/TUM) established. Roughly at that time LM met Dr. Georg Weber for the first time.
69\item[1993] International GPS Service formally recognized by the IAG.
70\item[1994] IGS began providing GPS orbits and other products routinely (January, 1).
71\item[1995] GPS declared fully operational.
72\end{description}
73
74\end{frame}
75
76%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
77
78\begin{frame}
79\frametitle{CODE-Related Works in 1990's}
80
81\begin{itemize}
82\item The Bernese GPS Software was the primary tool for CODE analyzes (Fortran~77).
83\item IGS reference network was sparse.
84\item Real-time data transmission limited (Internet was still young, TCP/IP widely accepted 1989).
85\item CPU power of then computers was limited (VAX/VMS OS used at AIUB).
86\end{itemize}
87
88In 1990's high precision GPS analyzes were almost exclusively performed in post-processing mode.
89The typical precise application of GPS at that time was the processing of a network of static
90GPS-only receivers for the estimation of station coordinates.
91
92\end{frame}
93
94%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
95
96\begin{frame}
97\frametitle{Tempora mutantur (and maybe ``nos mutamur in illis'')}
98
99\includegraphics[width=0.7\textwidth,angle=0]{pp_vs_rt.png}
100
101\vspace*{-2cm}
102\hspace*{6cm}
103\includegraphics[width=0.4\textwidth,angle=0]{ea_ztd_21h.png}
104
105
106\end{frame}
107
108
109%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
110
111\begin{frame}
112\frametitle{O tempora! O mores!}
113
114\begin{itemize}
115\item people want more and more \ldots
116\item everybody wants everything immediately \ldots
117\item \hspace*{2cm} and, of course, free of charge \ldots
118\end{itemize}
119\vspace*{5mm}
120In GNSS-world it means:
121\begin{itemize}
122\item There are many new kinds of GNSS applications - positioning is becoming just one of many
123 purposes of GNSS usage.
124\item Many results of GNSS processing are required in real-time (or, at least, with very small
125 delay).
126\item GPS is not the only positioning system. Other GNSS are being established (for practical but
127 also for political reasons).
128\item People are used that many GNSS services are available free of charge (but the development and
129 maintenance has to be funded).
130\end{itemize}
131
132\begin{block}{But \ldots}
133\end{block}
134
135\end{frame}
136
137%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
138
139\begin{frame}
140\frametitle{Nihil novi sub sole}
141
142Each GNSS-application is based on processing code and/or phase observations
143\vspace*{-3mm}
144 \begin{eqnarray*}
145 P^i & = & \varrho^i + c\;\delta - c\;\delta^i + T^i + I^i + b_P \\
146 L^i & = & \varrho^i + c\;\delta - c\;\delta^i + T^i - I^i + b^i
147 \end{eqnarray*}
148 where
149 \begin{tabbing}
150 $P^i$, $L^i$ ~~~~~~~ \= are the code and phase measurements, \\
151 $\varrho^i$ \> is the travel distance between the satellite
152 and the receiver, \\
153 $\delta$, $\delta^i$ \> are the receiver and satellite clock errors, \\
154 $I^i$ \> is the ionospheric delay, \\
155 $T^i$ \> is the tropospheric delay, \\
156 $b_P$ \> is the code bias, and \\
157 $b^i$ \> is the phase bias (including initial
158 phase ambiguity).
159 \end{tabbing}
160Observation equations reveal what information can be gained from processing GNSS data:
161\begin{itemize}
162\item geometry (receiver positions, satellite orbits), and
163\item state of atmosphere (both dispersive and non-dispersive part)
164\end{itemize}
165The observation equations also show that, in principle, GNSS is an
166\textcolor{blue!90}{interferometric} technique -- precise results are actually always relative.
167
168\end{frame}
169
170%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
171
172\begin{frame}
173\frametitle{Challenges of Real-Time GNSS Application}
174\begin{itemize}
175\item Reliable data links have to been established (between rover station and a reference station,
176 between receivers and processing center, or between processing center and DGPS correction
177 provider).
178\item Suitable algorithms for the parameter adjustment have to be used (filter techniques instead
179 of classical least-squares).
180\item Software tools for handling real-time data (Fortran is not the best language for that).
181\item Fast CPUs.
182\end{itemize}
183
184As said above -- GNSS is an interferometric technique. Processing of a single station cannot give
185precise results. However, data of reference station(s) can be replaced by the so-called corrections
186(DGPS corrections, precise-point positioning etc.) These techniques are particularly suited for
187real-time applications because the amount of data being transferred can be considerably reduced.
188
189\end{frame}
190
191\end{document}
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