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@@ -74,10 +74,52 @@ kann man auch testen wenn man beim particle-filter das resampling ganz aus macht
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mit grafik: exp-dist vergroesert teils den abstand zu anderen locations , der GT selbst wird also besser,
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aber an anderen stellen geht dafür der fehler hoch und kann zu verlaufen führen (z.B. treppenhaus)
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}
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% -------------------------------- other distributions, unseen APs, etc -------------------------------- %
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To reduce the amount of misclassifications, where other locations within the building are (almost)
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as likely (see \refeq{eq:wifiProb}) as the pedestrians actual location, we examined various
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approaches. Unfortunately, none of which provided a viable enhancement under all conditions within
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the performed walks.
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One possibility to dissolve an equal \docWIFI{}-likelihood between two (or more) locations within in the building
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is, to not only consider the \docAPshort{}s seen by the Smartphone, but also the \docAPshort{}s not seen
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by the Smartphone. Maybe there is an \docAP{} that should be visible at the other locations. However,
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as the Smartphone did not see this \docAPshort{} the other location can be ruled out.
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While this works in theory, evaluations revealed several issues:
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There is a chance that an \docAPshort{} is unseen during a scan due to packet collisions or
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temporal effects within the surrounding. It thus might make sense to opt-out other locations
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only, if at least two \docAPshort{}s are missing. On the other hand, this obviously requires (at least)
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two \docAPshort{}s to actually be different between the two locations, which might not always be
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the case.
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Also, this requires the signal strength prediction model to be fairly accurate. Within our testing
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walks there are several places surrounded by concrete walls, which cause a harsh, local drop in signal strength.
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The models used within this work will not accurately predict the signal strength for such locations.
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Including \docAPshort{}s unseen by the Smartphone thus often increases the estimation error instead
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of fixing the multimodality.
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We therefore examined variations of the probability calculation from \refeq{eq:wifiProb}.
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Removing the strongest/weakest \docAPshort{} from $\mRssiVecWiFi{}$ yielded similar results.
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While some estimations were improved, the overall estimation error increased for our walks,
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as there are many situations where only a handful \docAP{}s can be seen. Removing (valid)
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information will highly increase the error for such situations.
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Using a more strict exponential distribution for
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\begin{figure}
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\input{gfx/wifiCompare_normalVsExp_cross.tex}
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\input{gfx/wifiCompare_normalVsExp_meter.tex}
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\label{normal vs exponential}
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\label{fig:normalVsExponential}
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\caption{
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Comparison between normal- (black) and exponential-distribution (red) for \refeq{eq:wifiProb}.
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While misclassifications are slightly reduced (upper chart),
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the error between ground-truth and estimation (lower chart) increases by
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about \SI{1}{\meter} for the median.
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}
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\end{figure}
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\todo{
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