tex + gfx
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@@ -1,5 +1,18 @@
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\newcommand{\mPosAP}{\varrho} % char for access point position vector
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\newcommand{\mPos}{\rho} % char for positions
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\newcommand{\mPosVec}{\vec{\mPos}} % position vector
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\newcommand{\mRssi}{s} % client signal strength measurements
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\newcommand{\mRssiVec}{\vec{s}} % client signal strength measurements
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\newcommand{\mRssiVecWiFi}{\vec{s}} % client signal strength measurements
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\newcommand{\mPLE}{\ensuremath{\gamma}} % path-loss exponent
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\newcommand{\mTXP}{\ensuremath{P_0}} % tx-power
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\newcommand{\mWAF}{\ensuremath{\beta}} % wall attenuation factor
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\newcommand{\mGaussNoise}{\ensuremath{\mathcal{X}}}
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\newcommand{\mMdlDist}{\ensuremath{d}} % distance used within propagation models
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\newcommand{\mState}{q} % state variable
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\newcommand{\mStateVec}{\vec{q}} % state vector variable
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@@ -24,10 +37,22 @@
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\newcommand{\R}{\mathbb{R}}
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%\newcommand{\N}{\mathbb{N}}
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\begin{frame}[fragile]
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\frametitle{System}
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%\includegraphics[width=4cm]{gfx/map1}
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\section{Indoor Lokalisierung}
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\subsection{Überblick}
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\begin{frame}[fragile]
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\frametitle{Indoor Lokalisierung}
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\begin{figure}
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\centering
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\includegraphics[width=\linewidth]{gfx/info_graphic}
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\end{figure}%
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Indoor Lokalisierung}
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\small
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@@ -74,6 +99,56 @@
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\end{aligned}
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\end{equation*}
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\end{frame}
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\subsection{Bewegungsmodell}
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\begin{frame}[fragile]
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\frametitle{Bewegungsmodell}% $p(\mStateVec_{t} \mid \mStateVec_{t-1}, \mObsVec_{t-1})$ }
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%\emph{Wo könnte ich in 10 Sekunden sein?}
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%
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\centering\includegraphics<1>[height=6cm]{gfx/plan1.pdf}%
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\centering\includegraphics<2>[height=6cm]{gfx/plan2.pdf}%
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\centering\includegraphics<3>[height=6cm]{gfx/importance.pdf}%
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\centering\includegraphics<4>[height=6cm]{gfx/dijkstra.pdf}%
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\centering\includegraphics<5>[height=6cm]{gfx/map1}%
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\end{frame}
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\subsection{Sensorik}
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\begin{frame}[fragile]
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\frametitle{Sensorik - Wi-Fi}
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\begin{equation*}
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p(\vec{o}_t \mid \vec{q}_t)_\text{wifi} =
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p(\mRssiVecWiFi \mid \mPosVec) =
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\prod_{\mRssi_{i} \in \mRssiVec{}} p(\mRssi_{i} \mid \mPosVec)
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\footnote{\tiny Annahme: Messungen von Access-Points sind statistisch unabhängig}
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,\enskip
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%\mPos = (x,y,z)^T
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\mPosVec \in \R^3
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%\label{eq:wifiObs}
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\end{equation*}
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%
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\begin{equation*}
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p(\mRssi_i \mid \mPosVec) =
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\mathcal{N}(\mRssi_i \mid \mu_{i,\mPosVec}, \sigma_{i,\mPosVec}^2)
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%\label{eq:wifiProb}
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\end{equation*}
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%
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\begin{equation*}
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\mRssi = {\mTXP{}} - 10 \mPLE{} + \log_{10} \frac{d}{d_0} + n \beta + \mGaussNoise{}
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%\label{eq:logDistModel}
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\end{equation*}
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\includegraphics[width=4.5cm]{gfx/fingerprints.pdf}
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\includegraphics[width=4.5cm]{gfx/opt.pdf}
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\includegraphics[width=4.5cm]{gfx/wifiMultimodality.pdf}
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\end{frame}
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\end{frame}
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@@ -16,8 +16,10 @@
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\end{frame}
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\subsection{Smoothing}
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\begin{frame}[fragile]
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\frametitle{Indoor Localisation System}
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\frametitle{Indoor Localization System}
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\begin{figure}
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\centering
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presentation/gfx/dijkstra.pdf
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presentation/gfx/dijkstra.pdf
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presentation/gfx/fingerprints.pdf
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presentation/gfx/importance.pdf
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presentation/gfx/importance.pdf
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presentation/gfx/opt.pdf
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presentation/gfx/opt.pdf
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presentation/gfx/plan1.pdf
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presentation/gfx/plan2.pdf
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presentation/gfx/wifiMultimodality.pdf
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presentation/gfx/wifiMultimodality.pdf
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@@ -74,6 +74,8 @@
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% https://en.wikibooks.org/wiki/LaTeX/Presentations
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%--------------------------------------------------------------------------
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\renewcommand{\thefootnote}{\fnsymbol{footnote}}
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\begin{document}
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\maketitle
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@@ -81,6 +83,8 @@
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% TODO: remove examples!
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%\input{chapters/examples.tex}
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\tableofcontents
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\input{chapters/bib}
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\input{chapters/achievements}
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