diff --git a/tex/chapters/grid.tex b/tex/chapters/grid.tex index 992e9e5..67a8d66 100644 --- a/tex/chapters/grid.tex +++ b/tex/chapters/grid.tex @@ -313,8 +313,7 @@ represents the most proper state of the posterior distribution at time $t-1$, is \end{equation} %\commentByFrank{$\mUsePath$ als variable} % - - + \subsubsection{Multipath} @@ -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 $\sigma^2$.