Merge branch 'master' of https://git.frank-ebner.de/FHWS/IPIN2018
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@@ -26,6 +26,7 @@
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\usepackage{siunitx}
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\usepackage{siunitx}
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\usepackage{array}
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\usepackage{array}
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\usepackage{multirow}
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\usepackage{multirow}
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\usepackage{booktabs}
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%added for comments to reviewers
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%added for comments to reviewers
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\usepackage[draft]{todonotes} %the orange todos
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\usepackage[draft]{todonotes} %the orange todos
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@@ -216,26 +216,23 @@ In contrast, the $D_\text{KL}$-based method extends the transition and thus uses
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We set $l_\text{max} =$ \SI{-75}{dBm} and $l_\text{min} =$ \SI{-90}{dBm}.
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We set $l_\text{max} =$ \SI{-75}{dBm} and $l_\text{min} =$ \SI{-90}{dBm}.
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For a better overview, we only used the KDE-based estimation, as the errors compared to the weighted-average estimation differ by only a few centimeter.
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For a better overview, we only used the KDE-based estimation, as the errors compared to the weighted-average estimation differ by only a few centimeter.
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\newcommand{\STAB}[1]{\begin{tabular}{@{}c@{}}#1\end{tabular}}
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\begin{table}[t]
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\begin{table}[t]
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\centering
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\centering
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\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|}
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\begin{tabular}{rrrrcrrrcrrr}
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\hline
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\toprule
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Method & \multicolumn{3}{c|}{none} & \multicolumn{3}{c|}{simple} & \multicolumn{3}{c|}{$D_\text{KL}$}\\
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& \multicolumn{3}{c}{none} & \phantom{abc} & \multicolumn{3}{c}{simple} & \phantom{abc} & \multicolumn{3}{c}{$D_\text{KL}$} \\
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\hline
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\cmidrule{2-4} \cmidrule{6-8} \cmidrule{10-12}
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& $\bar{x}$ & $\bar{\sigma}$ & $\tilde{x}_{75}$ & $\bar{x}$ & $\bar{\sigma}$ & $\tilde{x}_{75}$ & $\bar{x}$ & $\bar{\sigma}$ & $\tilde{x}_{75}$ \\
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& \multicolumn{1}{c}{$\bar{x}$} & \multicolumn{1}{c}{$\bar{\sigma}$} & \multicolumn{1}{c}{$\tilde{x}_{75}$} && \multicolumn{1}{c}{$\bar{x}$} & \multicolumn{1}{c}{$\bar{\sigma}$} & \multicolumn{1}{c}{$\tilde{x}_{75}$} && \multicolumn{1}{c}{$\bar{x}$} & \multicolumn{1}{c}{$\bar{\sigma}$} & \multicolumn{1}{c}{$\tilde{x}_{75}$} \\
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\hline \hline
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\midrule
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walk 0 & \SI{13.4}{\meter} & \SI{11.2}{\meter} & \SI{22.6}{\meter} & \SI{7.1}{\meter} & \SI{6.6}{\meter} & \SI{9.4}{\meter} & \SI{5.8}{\meter} & \SI{4.9}{\meter} & \SI{7.3}{\meter} \\ \hline
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walk 0 & \SI{13.4}{\meter} & \SI{11.2}{\meter} & \SI{22.6}{\meter} && \SI{7.1}{\meter} & \SI{6.6}{\meter} & \SI{9.4}{\meter} && \SI{5.8}{\meter} & \SI{4.9}{\meter} & \SI{7.3}{\meter} \\
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walk 1 & \SI{3.2}{\meter} & \SI{2.4}{\meter} & \SI{4.1}{\meter} & \SI{3.2}{\meter} & \SI{2.6}{\meter} & \SI{4.0}{\meter} & \SI{3.8}{\meter} & \SI{3.2}{\meter} & \SI{4.6}{\meter} \\ \hline
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walk 1 & \SI{3.2}{\meter} & \SI{2.4}{\meter} & \SI{4.1}{\meter} && \SI{3.2}{\meter} & \SI{2.6}{\meter} & \SI{4.0}{\meter} && \SI{3.8}{\meter} & \SI{3.2}{\meter} & \SI{4.6}{\meter} \\
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walk 2 & \SI{8.3}{\meter} & \SI{4.1}{\meter} & \SI{10.9}{\meter} & \SI{3.6}{\meter} & \SI{2.3}{\meter} & \SI{4.9}{\meter} & \SI{3.6}{\meter} & \SI{2.3}{\meter} & \SI{4.8}{\meter} \\ \hline
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walk 2 & \SI{8.3}{\meter} & \SI{4.1}{\meter} & \SI{10.9}{\meter} && \SI{3.6}{\meter} & \SI{2.3}{\meter} & \SI{4.9}{\meter} && \SI{3.6}{\meter} & \SI{2.3}{\meter} & \SI{4.8}{\meter} \\
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walk 3 & \SI{7.0}{\meter} & \SI{5.9}{\meter} & \SI{13.5}{\meter} & \SI{5.4}{\meter} & \SI{4.7}{\meter} & \SI{7.7}{\meter} & \SI{4.8}{\meter} & \SI{4.3}{\meter} & \SI{6.5}{\meter} \\
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walk 3 & \SI{7.0}{\meter} & \SI{5.9}{\meter} & \SI{13.5}{\meter} && \SI{5.4}{\meter} & \SI{4.7}{\meter} & \SI{7.7}{\meter} && \SI{4.8}{\meter} & \SI{4.3}{\meter} & \SI{6.5}{\meter} \\
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\hline
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\bottomrule
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\end{tabular}
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\end{tabular}
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\caption{Overall localization results in meter using the different impoverishment methods. For estimation we used the KDE-based method, as the errors compared to the weighted-average differ by only a few centimeter. The results are presented given the average positioning error $\bar{x}$, the standard deviation $\bar{\sigma}$ and the \SI{75}{\percent}-quantil of positioning errors $\tilde{x}_{75}$.}
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\caption{Overall localization results in meter using the different impoverishment methods. For estimation we used the KDE-based method, as the errors compared to the weighted-average differ by only a few centimeter. The results are presented given the average positioning error $\bar{x}$, the standard deviation $\bar{\sigma}$ and the \SI{75}{\percent}-quantil of positioning errors $\tilde{x}_{75}$.}
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\label{table:overall}
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\label{table:overall}
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\end{table}
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\end{table}
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All walks, except for walk 1, suffer in some way from sample impoverishment.
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All walks, except for walk 1, suffer in some way from sample impoverishment.
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We discuss the single results of table \ref{table:overall} starting with walk 0.
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We discuss the single results of table \ref{table:overall} starting with walk 0.
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Here, the pedestrians started at the top most level, walking down to the lowest point of the building.
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Here, the pedestrians started at the top most level, walking down to the lowest point of the building.
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