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@@ -106,24 +106,41 @@ In total there are eight phone AP combinations.
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\autoref{fig:DistMeasMeanNucPixel}~\subref{fig:DistMeasMeanNucPixel:a} shows the average measured distance per smartphone in respect to the ground truth distance.
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Likewise, \autoref{fig:DistMeasMeanNucPixel}~\subref{fig:DistMeasMeanNucPixel:b} depicts the average measured distance per access point.
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The corresponding values of these figures are shown in \autoref{tab:distvaluesPixels} and \autoref{tab:distvaluesNUCs}.
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Interestingly, both the wireless cards and the Pixel devices exhibit some tendency regarding the measurement error.
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Interestingly, both the wireless cards and the Pixel devices exhibit some similar tendency regarding the measurement error.
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As seen in \autoref{fig:DistMeasMeanNucPixel}~\subref{fig:DistMeasMeanNucPixel:a} the Pixel3a tends to underestimate the distance.
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As seen in \autoref{fig:DistMeasMeanNucPixel}~\subref{fig:DistMeasMeanNucPixel:a} the Pixel 3a tends to underestimate the distance.
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Only at \SI{6}{m} and \SI{10}{m} the estimated distance is slightly larger compared to the true distance.
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The overall
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The overall error is mostly negative and the mean absolute error is $\SI{1}{m}$.
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Contrarily, the Pixel 2 XL tends to overestimates the distance compared to the groundtruth distance.
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Here the mean absolute error is $\SI{1.4}{m}$.
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However, at the \SI{16}{m} mark the measured mean distance of the Pixel 2 XL significantly increases.
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Computing the mean absolute error only in the interval of $[\SI{2}{m}, \SI{16}{m}]$ reduces the Pixel 2 XL error to $\SI{0.6986}{m}$, while the Pixel 3a error changes negligible.
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At \SI{16}{m} the Pixel 3a stops to underestimate the distance and the measurements at \SI{18}{m} and \SI{20}{m} are quite close to the true distance.
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In contrast, the Pixel 2 XL starts to increasingly overestimate the true distance which results in large error values ($\approx \SI{4}{m}$).
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The same behavior is observable for the Intel AC 8260 and 9460 cards.
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Again at \SI{16}{m} both cards start to overestimate the true distance.
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For distances smaller than \SI{16}{m} the \intelOld also underestimates the distance with a mean absolute error of \SI{1.11}{m} in that range.
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Like the \pixelOld the error increases for larger distances, however, somewhat smaller with $\approx \SI{2}{m}$.
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In total the \intelNew card tends to provide an accurate distance estimate but has some outliers at \SI{6}{m} and \SI{10}{m} but never underestimates the true distance.
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While the mean distance over many measurements is relevant for stationary measure points, in our scenario a pedestrian is moving with the smartphone.
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Therefore, only one or a few measurements can be observed at a given position.
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A more expressive visualization for this scenario is given with the CDF graph in \autoref{fig:DistMeasMeanNucPixel}~\subref{fig:DistMeasMeanNucPixel:c}.
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\begin{figure}[ht]
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\begin{minipage}{.5\textwidth}
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\centering
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\subfloat[]{\label{fig:DistMeasMeanNucPixel:a}\includegraphics[width=\textwidth]{DistMeasMeanPerPixel.png}}
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\subfloat[]{\label{fig:DistMeasMeanNucPixel:a}\includegraphics[width=0.8\textwidth]{DistMeasMeanPerPixel.png}}
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\end{minipage}%
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\begin{minipage}{.5\textwidth}
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\centering
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\subfloat[]{\label{fig:DistMeasMeanNucPixel:b}\includegraphics[width=\textwidth]{DistMeasMean.png}}
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\subfloat[]{\label{fig:DistMeasMeanNucPixel:b}\includegraphics[width=0.8\textwidth]{DistMeasMeanPerNuc.png}}
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\end{minipage}\par\medskip
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\centering
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\subfloat[CDF of error]{\label{main:c}\includegraphics[width=\textwidth]{DistMeasCDF.png}}
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\subfloat[CDF of error]{\label{fig:DistMeasMeanNucPixel:c}\includegraphics[width=\textwidth]{DistMeasCDF.png}}
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\caption{my fig}
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\label{fig:DistMeasMeanNucPixel}
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@@ -18,6 +18,12 @@
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\newcommand{\ieeWifiN} {\mbox{IEEE 802.11n}\xspace}
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\newcommand{\ieeWifiAC} {\mbox{IEEE 802.11ac}\xspace}
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\newcommand{\pixelOld}{Pixel~2~XL\xspace}
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\newcommand{\pixelNew}{Pixel~3a\xspace}
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\newcommand{\intelOld}{Intel~AC~8260\xspace}
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\newcommand{\intelNew}{Intel~AC~9460\xspace}
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% keyword macros
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\newcommand{\docIBeacon}{iBeacon}
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