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added nv integral sentence

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toni
2016-02-23 17:39:04 +01:00
parent 3c35203df1
commit 4042b615d7
1 changed files with 5 additions and 2 deletions
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tex/chapters/grid.tex
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@@ -315,7 +315,6 @@ represents the most proper state of the posterior distribution at time $t-1$, is
%
\subsubsection{Multipath}
The shortest-path algorithm mentioned in \ref{sec:pathEstimation} already calculated the distance
@@ -353,4 +352,8 @@ represents the most proper state of the posterior distribution at time $t-1$, is
%\commentByFrank{so besser?}
\label{fig:multiHeatMap}
\end{figure}
%
It should be noted that the normal distribution in \eqref{eq:transShortestPath} and \eqref{eq:transMultiPath} does not integrate to \SI{1}{} due to circularity of angular data.
This normally requires wrapped distributions like the von Mises distribution.
However, in our case, the normal distribution can be assumed as sufficient for small enough $\sigma^2$.