added wi-fi part, path lengths, discussion to walk1
This commit is contained in:
@@ -1,3 +1,9 @@
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\section{Conclusion}
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KDE besser machen, nicht nur maximumg
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simple impoverishment nur dann einschalten wenn wirklich gebraucht
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wifi optimierung noch besser machen und wände mitnehmen also raytracing
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Conclusion Conclusion
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@@ -22,9 +22,8 @@ However, similar to our previous, award-winning system, the setup is able to run
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The experiments are separated into four sections:
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At first, we discuss the performance of the novel transition model and compare it to a grid-based approach.
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In section \ref{sec:exp:opti} we have a look at \docWIFI{} optimization and how the real \docAPshort{} positions differ from it.
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Following, we conducted several test walks throughout the building to examine the estimation accuracy (in \SI{}{\meter}) of the localisation system and try to resolve sample impoverishment with the here presented methods.
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Finally, the different estimation methods are compared in section \ref{sec:exp:est}.
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Following, we conducted several test walks throughout the building to examine the estimation accuracy (in \SI{}{\meter}) of the localisation system and discuss the here presented solutions for sample impoverishment.
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Finally, the respective estimation methods are discussed in section \ref{sec:eval:est}.
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\subsection{Transition}
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To make a statement about the performance of our novel transition model presented within section \ref {}, we chose a simple scenario, in which a tester walks up and down a staircase three times.
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@@ -67,8 +66,10 @@ Other transmitters like smart TVs or smartphone hotspots are ignored as they mig
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\end{figure}
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%
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The 4 chosen walking paths can be seen in fig. \ref{fig:floorplan}.
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\todo{wie lang sind die walks meter und zeit?}
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They were carried out be 4 different male testers using either a Samsung Note 2, Google Pixel One or Motorola Nexus 6 for recording the measurements.
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Walk 0 is \SI{152}{\meter} long and took about \SI{2.30}{\minutes} to walk.
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Walk 2 has a length of \SI{223}{\meter} and Walk 3 a length of \SI{231}{\meter}, both required about \SI{6}{\minutes} to walk.
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Finally, walk 3 is \SI{310}{\meter} long and needs \SI{10}{\minutes} to walk.
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All walks were carried out be 4 different male testers using either a Samsung Note 2, Google Pixel One or Motorola Nexus 6 for recording the measurements.
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All in all, we recorded \SI{28}{} distinct measurement series, \SI{7}{} for each walk.
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The picked walks intentionally contain erroneous situations, in which many of the above treated problems occur.
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Thus we are able to discuss everything in detail.
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@@ -145,8 +146,15 @@ Without a method to recover from impoverishment, the system lost track in \SI{10
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By using the simple method, the overall error can be reduced and the impoverishment resolved. Nevertheless, unpredictable jumps of the estimation are causing the system to be highly uncertain in some situations, even if those jumps do not last to long.
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Only the use of the $D_\text{KL}$ method is able to produce reasonable results.
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As described in chapter \ref{}, we use a Wi-Fi model optimized for each floor instead of a single global one.
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A good example why we do this, can be seen in fig. \ref{}, considering walk 3.
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\begin{figure}[bt]
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\centering
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\includegraphics[width=0.9\textwidth]{gfx/wifiOptGlobalFloor/combined_dummy.png}
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\caption{A small section of walk 3. Optimizing the system with a global Wi-Fi optimization scheme (blue) causes a big jump and thus high errors. This happens due to highly attenuated Wi-Fi signals and inappropriate Wi-Fi parameters. We compare this to a system optimized for each floor individually (red), resolving the situation a producing reasonable results.}
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\label{fig:wifiopt}
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\end{figure}
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%
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As described in chapter \ref{sec:wifi}, we use a Wi-Fi model optimized for each floor instead of a single global one.
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A good example why we do this, can be seen in fig. \ref{fig:wifiopt}, considering a small section of walk 3.
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Here, the system using the global Wi-Fi model makes a big jump into the right-hand corridor and requires \SI{5}{\second} to recover.
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This happens through a combination of environmental occurrences, like the many different materials and thus attenuation factors, as well as the limitation of the here used Wi-Fi model, only considering ceilings and ignoring walls.
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Following, \docAPshort{}'s on the same floor level, which are highly attenuated by \SI{2}{\meter} thick stone walls, are neglected and \docAPshort{}'s from the floor above, which are only separated by a thin wooden ceiling, have a greater influence within the state evaluation process.
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@@ -156,48 +164,47 @@ In contrast, the model optimized for each floor only considers the respective \d
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A major disadvantage of the method is the reduced number of visible \docAPshort{}'s and thus measurements within an area.
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This could lead to an underrepresentation of \docAPshort{}'s for triangulation.
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%walk 1
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Looking at the results of table \ref{table:overall} again, it can be seen that the $D_\text{KL}$ method is able to improve the results in three of the four walks.
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Those walks have in common, that they suffer in some way from sample impoverishment or other problems causing the system to stuck.
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The only exception is walk 1.
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It was set up to provide a challenging scenario, leading to as many multimodalities as possible.
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We intentionally searched for situations in which there was a great chance that the particle set would separate, e.g. by providing multiple possible whereabouts through crossings or by blocking and thus separating a straight path with objects like movable walls.
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Similar to the other walks, we added different pausing intervals of \SI{10}{\second} to \SI{60}{\second}.
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This helps to analyse how the particles behave in such situations, especially in this multimodal setting.
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\todo{fuer eins brauchen wir aber noch estimated path}
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\todo{boxkde 0.2 point2(1,1);}
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\todo{
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BILD: Von einem Pfad der steckenbleibt und den beiden anderen verfahren mit fehler über die zeit.
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BILD: WIFI-Fehler unten bei den Kellern.
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BILD: Estimation Fehler
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}
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%To analyse the drawbacks and benefits of the here presented method to resolve sample impoverishment,
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%The benefits of the here presented solution to resolve sample impoverishment can be seen in the example shown in fig. \ref{}.
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%probleme mit impoverishment aufzeigen, wo bringt es was, was macht es kaputt etc pp
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Besides uncertain measurements, one of the main sources for multimodalities are restrictive transition models, e.g. no walking through walls.
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As shown in section \ref{sec:impo}, the $D_\text{KL}$ method compares the current posterior $p(\mStateVec_{t} \mid \mObsVec_{1:t})$ with the probability grid $\probGrid_{t, \text{wifi}}$ using the Kullback-Leibler divergence and a Wi-Fi quality factor.
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Environmental restriction like walls are not considered while creating $\probGrid_{t, \text{wifi}}$, that is why the grid is not effected by a transition-based multimodal setting.
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Given accurate Wi-Fi measurements, it is therefore very likely that $\probGrid_{t, \text{wifi}}$ represents a unimodal distribution, even if the particles got separated by an obstacle or wall.
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This leads to a situation, in which posterior and grid differ.
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As a result, the radius $r_\text{sub}$ increases and thus the diversity of particles.
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We are able to confirm the above by examining the different scenarios integrated into walk 1.
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For this, we compared the error development with the corresponding radius $r_\text{sub}$ over time.
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In situations where the errors given by the $D_\text{KL}$ method and the simple method differ the most, $r_\text{sub}$ also increases the most.
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Here, the radius grows to a maximum of $r_\text{sub} = $ \SI{666}{\meter}.
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In contrast, a real sample impoverishment scenario, as seen in walk 0 (cf. fig. \ref{fig:errorOverTimeWalk0}), provides a maximum radius of \SI{777}{\meter}.
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Nevertheless, such an slightly increased diversity is enough to influence the estimation error of the $D_\text{KL}$ in a negative way (cf. walk 1 in table \ref{table:overall}).
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Ironically, this is again some type of sample impoverishment, caused by the aforementioned environmental restrictions not allowing particles inside walls or other out of reach areas.
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%%estimation
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\subsection{Estimation Methods}
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\label{sec:exp:est}
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\subsection{Estimation}
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\label{sec:eval:est}
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As discussed before, the single estimation methods only vary by a few centimetres in the overall localization error.
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As mentioned before, the single estimation methods (cf. chapter \ref{sec:estimation}) only vary by a few centimetres in the overall localization error.
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That means, they differ mainly in the representation of the estimated locations.
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More easily spoken, in which way the estimated path is drawn and thus presented to the user.
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Regarding the underlying particle set, different shapes of probability distributions need to be considered, especially those with multimodalities.
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%
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\begin{figure}
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\centering
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\input{gfx/walk.tex}
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\caption{Occurring bimodal distribution caused by uncertain measurements in the first \SI{13.4}{\second} of the walk. After \SI{20.8}{\second}, the distribution gets unimodal. The weigted-average estimation (blue) provides a high error compared to the ground truth (solid black), while the BoxKDE approach (orange) does not. }
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\caption{Occurring bimodal distribution caused by uncertain measurements in the first \SI{13.4}{\second} of walk 1. After \SI{20.8}{\second}, the distribution gets unimodal. The weigted-average estimation (blue) provides a high error compared to the ground truth (solid black), while the KDE approach (orange) does not. }
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\label{fig:realWorldMulti}
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\end{figure}
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%
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The main advantage of a KDE-based estimation is that it provides the "correct" mode of a density, even under a multimodal setting (cf. section \ref{sec:estimation}).
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That is why we again have a look at walk 1.
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A situation in which the system highly benefits from this is illustrated in fig. \ref{fig:realWorldMulti}.
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Here, a set of particles splits apart, due to uncertain measurements and multiple possible walking directions.
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Indicated by the black dotted line, the resulting bimodal posterior reaches its maximum distance between the modes at \SI{13.4}{\second}.
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@@ -223,15 +230,24 @@ Only with new measurements coming from the hallway or other parts of the buildin
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\label{fig:realWorldTime}
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\end{figure}
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This lead to the conclusion, that a weighted average approach provides a more smooth representation of the estimated locations and thus a higher robustness.
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This leads to the conclusion, that a weighted average approach provides a more smooth representation of the estimated locations and thus a higher robustness.
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\todo{bild vom gesamten walk 2 und den unterschied zwischen weighted average estimation und kde estimation zeigen. wie sich das auf dne estimated path auswirkt. also der eine pfad springt viel und der andere ist halt smoother}
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In contrast, a KDE-based approach for estimation is able to resolve multimodalities.
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It does not always provide the lowest error, since it depends more on an accurate sensor model then a weighted average approach, but is very suitable as a good indicator about the real performance of a sensor fusion system.
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At the end, in the here shown examples we only searched for a global maxima, even though this approach opens a wide range of other possibilities for finding a best estimate.
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%wie in bulli paper.
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\todo{boxkde 0.2 point2(1,1);}
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\todo{
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BILD: Von einem Pfad der steckenbleibt und den beiden anderen verfahren mit fehler über die zeit.
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BILD: WIFI-Fehler unten bei den Kellern.
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BILD: Estimation Fehler
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}
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%letzer absatz nochmal gesamtergebniss des gesamten systems
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%was läuft noch schief? wo macht was probleme?
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@@ -45,3 +45,5 @@ The goal of this work is to propose a fast to deploy and low-cost localization s
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Consequently, we believe that by utilizing our localization approach to such a challenging scenario, it is possible to prove those characteristics.
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Finally, it should be mentioned that the here presented work is an highly updated version of the winner of the smartphone-based competition at IPIN 2016 \cite{Ebner-15}.
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\todo{Dankesagung Moehring oder einfach mit als Autor?}
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@@ -0,0 +1,589 @@
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22.7193 13.3973 1.8
|
||||
22.9765 13.951 1.8
|
||||
22.7193 14.2278 1.8
|
||||
23.2337 14.5046 1.8
|
||||
23.2337 14.2278 1.8
|
||||
22.7193 13.951 1.8
|
||||
22.7193 13.951 1.8
|
||||
26.0627 15.0582 1.8
|
||||
26.577 14.2278 1.8
|
||||
27.0914 13.6741 1.8
|
||||
27.863 13.3973 1.8
|
||||
28.6345 12.8437 1.8
|
||||
29.1489 12.5669 1.8
|
||||
29.4061 12.2901 1.8
|
||||
29.6632 11.4597 1.8
|
||||
29.6632 9.24525 1.8
|
||||
29.6632 7.86122 1.8
|
||||
29.6632 7.3076 1.8
|
||||
29.4061 7.58441 1.8
|
||||
33.0066 12.0133 1.8
|
||||
33.0066 13.3973 1.8
|
||||
33.2638 14.2278 1.8
|
||||
33.2638 15.335 1.8
|
||||
33.2638 16.719 1.8
|
||||
33.2638 17.8262 1.8
|
||||
33.0066 18.6567 1.8
|
||||
33.0066 19.7639 1.8
|
||||
33.521 20.3175 1.8
|
||||
33.2638 20.8711 1.8
|
||||
33.521 21.1479 1.8
|
||||
33.521 21.7015 1.8
|
||||
33.521 22.5319 1.8
|
||||
33.2638 22.8087 1.8
|
||||
33.2638 23.0856 1.8
|
||||
33.2638 23.916 1.8
|
||||
33.2638 24.4696 1.8
|
||||
33.521 25.5768 1.8
|
||||
33.521 25.8536 1.8
|
||||
33.521 26.684 1.8
|
||||
33.521 27.5144 1.8
|
||||
33.521 28.0681 1.8
|
||||
33.521 28.8985 1.8
|
||||
33.521 29.7289 1.8
|
||||
33.521 30.5593 1.8
|
||||
33.521 31.3897 1.8
|
||||
33.521 32.2202 1.8
|
||||
33.521 33.0506 1.8
|
||||
33.521 33.6042 1.8
|
||||
33.521 34.1578 1.8
|
||||
33.521 34.7114 1.8
|
||||
33.0066 35.265 1.8
|
||||
31.9779 35.5418 1.8
|
||||
31.7207 34.9882 1.8
|
||||
31.4635 34.7114 1.8
|
||||
31.7207 34.9882 1.8
|
||||
33.521 36.0954 1.8
|
||||
33.7782 37.4795 1.8
|
||||
33.521 38.0331 1.8
|
||||
33.521 38.0331 1.8
|
||||
34.2925 38.5867 1.8
|
||||
34.5497 38.3099 1.8
|
||||
35.5785 38.0331 1.8
|
||||
36.0928 37.7563 1.7
|
||||
45.3514 38.0331 1.7
|
||||
46.123 37.7563 1.7
|
||||
46.6373 38.0331 1.8
|
||||
47.4089 38.0331 1.8
|
||||
48.1804 38.0331 1.8
|
||||
48.6948 38.0331 1.8
|
||||
49.4663 38.3099 1.8
|
||||
49.9807 38.3099 1.8
|
||||
50.7523 38.3099 1.8
|
||||
51.5238 38.5867 1.8
|
||||
52.0382 38.5867 1.8
|
||||
40.9793 38.0331 1.7
|
||||
40.4649 38.0331 1.5
|
||||
39.6934 38.0331 1.3
|
||||
32.2351 46.0605 1.1
|
||||
31.7207 46.0605 1
|
||||
33.2638 44.9532 0.8
|
||||
33.0066 42.7388 0.9
|
||||
33.0066 41.6316 0.9
|
||||
33.0066 41.3548 1
|
||||
33.0066 40.8011 1.1
|
||||
21.1762 39.6939 1.7
|
||||
20.6618 39.6939 1.8
|
||||
20.6618 39.9707 1.8
|
||||
20.919 39.4171 1.8
|
||||
20.4046 39.4171 1.8
|
||||
21.1762 38.5867 1.8
|
||||
19.3759 39.9707 1.8
|
||||
18.8615 41.0779 1.7
|
||||
19.3759 42.1852 1.4
|
||||
19.3759 43.2924 0.8
|
||||
19.3759 43.5692 0.3
|
||||
19.6331 44.3996 0.2
|
||||
e
|
||||
61.5539 13.951 2
|
||||
62.8399 16.4422 1.9
|
||||
62.8399 16.719 1.9
|
||||
62.8399 15.6118 1.8
|
||||
61.2968 12.8437 1.8
|
||||
60.7824 12.0133 1.8
|
||||
60.7824 11.1829 1.8
|
||||
60.7824 10.6293 1.8
|
||||
61.0396 9.52205 1.8
|
||||
61.0396 9.24525 1.8
|
||||
60.7824 8.69164 1.8
|
||||
60.7824 7.86122 1.8
|
||||
61.5539 7.3076 1.8
|
||||
62.3255 6.75399 1.8
|
||||
62.3255 5.92357 1.8
|
||||
62.3255 5.36996 1.8
|
||||
62.5827 4.53954 1.8
|
||||
63.097 4.26274 1.8
|
||||
63.097 3.98593 1.8
|
||||
63.097 3.98593 1.8
|
||||
63.097 3.70913 1.8
|
||||
63.097 2.87871 1.8
|
||||
63.097 3.15551 1.8
|
||||
62.8399 4.53954 1.8
|
||||
62.5827 4.26274 1.8
|
||||
66.6976 5.09316 1.8
|
||||
67.4692 5.09316 1.8
|
||||
68.2407 3.43232 1.8
|
||||
68.7551 3.70913 1.8
|
||||
59.2393 3.98593 1.8
|
||||
64.8973 3.15551 1.8
|
||||
65.4117 2.87871 1.8
|
||||
65.4117 3.43232 1.8
|
||||
60.0108 3.70913 1.8
|
||||
65.6689 3.98593 1.8
|
||||
65.1545 4.53954 1.8
|
||||
62.3255 5.92357 1.8
|
||||
61.5539 6.47719 1.8
|
||||
62.8399 6.47719 1.8
|
||||
62.3255 7.0308 1.8
|
||||
61.8111 7.3076 1.8
|
||||
61.0396 7.58441 1.8
|
||||
60.7824 7.86122 1.8
|
||||
61.0396 9.24525 1.8
|
||||
61.2968 10.0757 1.8
|
||||
61.0396 10.6293 1.8
|
||||
61.5539 11.1829 1.8
|
||||
54.61 3.98593 1.8
|
||||
54.3528 3.98593 1.9
|
||||
52.5525 4.53954 2
|
||||
52.8097 4.53954 2.2
|
||||
52.2954 4.81635 2.2
|
||||
51.5238 4.81635 2.2
|
||||
50.7523 4.81635 2.3
|
||||
50.4951 5.09316 2.3
|
||||
49.4663 5.36996 2.3
|
||||
48.952 5.64677 2.3
|
||||
48.1804 5.64677 2.1
|
||||
47.4089 5.64677 2
|
||||
46.8945 5.92357 1.9
|
||||
45.8658 5.64677 1.9
|
||||
45.8658 5.92357 1.9
|
||||
45.3514 5.92357 1.8
|
||||
44.5799 5.92357 1.8
|
||||
44.0655 5.92357 1.8
|
||||
43.2939 5.92357 1.8
|
||||
42.5224 5.92357 1.8
|
||||
41.7508 5.92357 1.8
|
||||
40.9793 5.92357 1.8
|
||||
40.4649 5.92357 1.8
|
||||
39.6934 5.92357 1.8
|
||||
38.9218 5.92357 1.8
|
||||
38.6646 5.64677 1.8
|
||||
37.6359 6.20038 1.8
|
||||
37.1216 5.92357 1.8
|
||||
36.6072 5.92357 1.8
|
||||
35.8356 6.75399 1.8
|
||||
34.8069 7.0308 1.8
|
||||
34.0354 7.0308 1.8
|
||||
33.521 7.0308 1.8
|
||||
33.521 7.3076 1.8
|
||||
33.0066 7.3076 1.8
|
||||
36.0928 6.20038 1.8
|
||||
34.5497 7.0308 1.8
|
||||
34.2925 7.0308 1.8
|
||||
33.2638 7.86122 1.8
|
||||
32.7494 8.41483 1.8
|
||||
32.2351 8.69164 1.8
|
||||
32.4923 9.52205 1.8
|
||||
31.9779 9.79886 1.8
|
||||
31.2063 9.52205 1.9
|
||||
30.9492 9.24525 1.8
|
||||
30.9492 8.69164 1.8
|
||||
29.6632 12.0133 1.8
|
||||
28.8917 12.0133 1.8
|
||||
28.3773 11.7365 1.8
|
||||
28.1201 11.7365 1.8
|
||||
27.6058 11.4597 1.8
|
||||
27.3486 11.1829 1.8
|
||||
26.577 11.1829 1.8
|
||||
26.0627 11.1829 1.8
|
||||
26.3199 9.79886 1.8
|
||||
27.3486 8.69164 1.8
|
||||
27.863 8.41483 1.8
|
||||
27.3486 8.13802 1.8
|
||||
27.863 8.41483 1.8
|
||||
26.577 7.86122 1.8
|
||||
25.8055 7.3076 1.8
|
||||
25.0339 7.0308 1.8
|
||||
23.748 7.86122 1.8
|
||||
23.748 8.41483 1.8
|
||||
22.9765 9.24525 1.8
|
||||
22.7193 8.69164 1.8
|
||||
22.7193 8.96844 1.8
|
||||
23.2337 9.52205 1.8
|
||||
22.9765 8.96844 1.8
|
||||
22.7193 8.96844 1.8
|
||||
22.9765 9.52205 1.8
|
||||
23.748 9.79886 1.8
|
||||
24.2624 10.9061 1.8
|
||||
25.0339 10.3525 1.8
|
||||
25.5483 10.9061 1.8
|
||||
23.2337 10.3525 1.8
|
||||
24.7768 11.4597 1.8
|
||||
24.0052 11.4597 1.8
|
||||
24.0052 12.2901 1.8
|
||||
24.2624 12.8437 1.8
|
||||
24.0052 13.1205 1.8
|
||||
24.0052 13.6741 1.8
|
||||
24.2624 13.6741 1.8
|
||||
24.7768 13.6741 1.8
|
||||
24.5196 12.8437 1.8
|
||||
24.7768 13.3973 1.8
|
||||
25.2911 13.6741 1.8
|
||||
27.863 13.6741 1.8
|
||||
28.3773 13.3973 1.8
|
||||
29.1489 13.3973 1.8
|
||||
29.6632 12.8437 1.8
|
||||
29.6632 12.5669 1.8
|
||||
29.6632 12.0133 1.8
|
||||
29.6632 12.0133 1.8
|
||||
32.2351 11.4597 1.8
|
||||
32.4923 11.7365 1.8
|
||||
33.0066 11.4597 1.8
|
||||
33.2638 12.0133 1.8
|
||||
33.0066 13.1205 1.8
|
||||
33.2638 13.6741 1.8
|
||||
33.2638 14.7814 1.8
|
||||
32.7494 15.8886 1.8
|
||||
33.2638 17.5494 1.8
|
||||
33.2638 18.3798 1.8
|
||||
33.2638 19.2103 1.8
|
||||
33.2638 19.7639 1.8
|
||||
33.2638 20.0407 1.8
|
||||
33.0066 20.3175 1.8
|
||||
33.2638 20.8711 1.8
|
||||
33.2638 21.7015 1.8
|
||||
33.2638 21.7015 1.8
|
||||
33.2638 21.7015 1.8
|
||||
33.0066 21.9783 1.8
|
||||
33.0066 23.0856 1.8
|
||||
33.0066 23.916 1.8
|
||||
33.0066 24.7464 1.8
|
||||
33.521 25.3 1.8
|
||||
33.521 25.5768 1.8
|
||||
33.521 25.8536 1.8
|
||||
33.521 25.8536 1.8
|
||||
33.521 26.4072 1.8
|
||||
33.521 26.684 1.8
|
||||
33.2638 27.7913 1.8
|
||||
33.521 29.4521 1.8
|
||||
33.2638 30.8361 1.8
|
||||
33.2638 31.6665 1.8
|
||||
33.0066 32.497 1.8
|
||||
33.0066 33.0506 1.8
|
||||
32.7494 34.1578 1.8
|
||||
32.7494 34.1578 1.8
|
||||
32.2351 34.9882 1.8
|
||||
31.7207 35.5418 1.8
|
||||
31.7207 35.5418 1.8
|
||||
31.9779 35.5418 1.8
|
||||
31.7207 36.3722 1.8
|
||||
31.9779 37.2027 1.8
|
||||
31.4635 38.0331 1.8
|
||||
30.9492 38.3099 1.8
|
||||
31.4635 38.5867 1.8
|
||||
30.692 38.8635 1.8
|
||||
28.8917 38.0331 1.8
|
||||
28.3773 38.0331 1.8
|
||||
27.6058 38.0331 1.8
|
||||
26.8342 38.0331 1.8
|
||||
26.3199 38.0331 1.8
|
||||
25.8055 38.0331 1.8
|
||||
25.5483 38.3099 1.8
|
||||
24.7768 38.3099 1.8
|
||||
24.0052 38.3099 1.8
|
||||
23.2337 38.3099 1.8
|
||||
22.7193 38.5867 1.8
|
||||
18.3472 39.6939 1.8
|
||||
17.8328 39.4171 1.8
|
||||
17.8328 39.4171 1.8
|
||||
17.8328 39.4171 1.8
|
||||
17.8328 39.4171 1.8
|
||||
17.5756 38.8635 1.8
|
||||
18.09 39.6939 1.8
|
||||
17.5756 38.8635 1.8
|
||||
19.1187 41.9084 1.6
|
||||
20.919 38.8635 1.8
|
||||
20.919 38.8635 1.8
|
||||
20.6618 38.5867 1.8
|
||||
19.8903 39.4171 1.8
|
||||
19.3759 39.9707 1.8
|
||||
19.8903 40.2475 1.8
|
||||
20.4046 40.2475 1.8
|
||||
20.4046 40.2475 1.8
|
||||
18.8615 40.2475 1.8
|
||||
18.8615 39.4171 1.8
|
||||
18.09 39.4171 1.8
|
||||
18.3472 39.4171 1.8
|
||||
19.1187 40.8011 1.7
|
||||
19.3759 42.462 1.5
|
||||
19.3759 43.0156 1.2
|
||||
19.3759 43.2924 1
|
||||
19.3759 43.5692 1
|
||||
19.3759 43.846 1.2
|
||||
19.6331 44.1228 1.3
|
||||
18.6044 39.4171 1.5
|
||||
18.8615 38.8635 1.4
|
||||
18.09 38.8635 1.4
|
||||
18.09 39.1403 1.5
|
||||
22.7193 45.7837 0.7
|
||||
23.2337 46.0605 0.2
|
||||
e
|
||||
|
||||
pause -1
|
||||
BIN
tex/gfx/wifiOptGlobalFloor/combined_dummy.png
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BIN
tex/gfx/wifiOptGlobalFloor/combined_dummy.png
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|
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630
tex/gfx/wifiOptGlobalFloor/global.csv
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tex/gfx/wifiOptGlobalFloor/global.csv
Normal file
@@ -0,0 +1,630 @@
|
||||
935 3.37744
|
||||
2418 2.61961
|
||||
3031 2.8039
|
||||
3582 3.2869
|
||||
4132 2.14532
|
||||
4689 1.05611
|
||||
5263 0.58046
|
||||
5773 0.370401
|
||||
6229 0.62646
|
||||
6734 0.817983
|
||||
7353 1.01709
|
||||
7903 1.28711
|
||||
8471 1.54028
|
||||
8969 1.6342
|
||||
9522 1.39373
|
||||
10087 1.33773
|
||||
10655 1.50997
|
||||
11194 1.16285
|
||||
11679 2.16394
|
||||
12358 2.60174
|
||||
13000 3.11666
|
||||
13689 2.32636
|
||||
14143 2.70312
|
||||
14790 2.66065
|
||||
15333 1.53309
|
||||
15970 1.50754
|
||||
16711 1.61012
|
||||
17504 2.29428
|
||||
18138 2.74911
|
||||
19481 2.86313
|
||||
24685 4.11052
|
||||
37648 1.4347
|
||||
38383 2.24361
|
||||
41551 2.52692
|
||||
41982 2.6566
|
||||
42590 2.47945
|
||||
43264 2.22912
|
||||
43876 2.50013
|
||||
44401 2.45235
|
||||
45076 2.17915
|
||||
45531 2.25418
|
||||
46108 3.09171
|
||||
46774 4.09682
|
||||
47183 3.30524
|
||||
47741 4.55706
|
||||
48412 5.2523
|
||||
48901 6.16501
|
||||
49541 6.75941
|
||||
50001 7.67147
|
||||
50533 8.36573
|
||||
51164 9.37429
|
||||
51702 10.3562
|
||||
52231 11.0995
|
||||
52662 1.6854
|
||||
53288 1.60292
|
||||
53824 4.2151
|
||||
54355 4.19943
|
||||
54891 4.0094
|
||||
55403 4.35427
|
||||
55927 4.3963
|
||||
56465 4.21048
|
||||
57002 4.2834
|
||||
57527 4.11684
|
||||
58078 4.17491
|
||||
58579 4.29926
|
||||
59037 4.22323
|
||||
59637 3.98302
|
||||
60191 3.81222
|
||||
60724 3.9262
|
||||
61252 3.53561
|
||||
61787 3.90652
|
||||
62319 3.77148
|
||||
62834 3.62479
|
||||
63392 1.68196
|
||||
63908 1.82908
|
||||
64475 1.67586
|
||||
65003 1.98296
|
||||
65527 1.81834
|
||||
66048 1.19329
|
||||
66574 1.3621
|
||||
67148 3.45714
|
||||
67681 3.54997
|
||||
68228 3.60173
|
||||
68774 1.18557
|
||||
69301 2.49635
|
||||
69848 3.98945
|
||||
70438 2.9178
|
||||
70886 3.10215
|
||||
71517 2.0563
|
||||
72099 2.20594
|
||||
72763 2.99841
|
||||
73207 3.37907
|
||||
73872 3.1873
|
||||
74489 3.74747
|
||||
74925 3.19097
|
||||
75444 3.53698
|
||||
76194 2.33997
|
||||
76676 2.50524
|
||||
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|
||||
589741 5.40974
|
||||
590507 6.22289
|
||||
590979 6.47376
|
||||
==========================================================
|
||||
Average of all statistical data:
|
||||
Median: 3.01603
|
||||
Average: 3.93866
|
||||
Standard Deviation: 3.67323
|
||||
75 Quantil: 4.84232
|
||||
|
10583
tex/gfx/wifiOptGlobalFloor/global.gp
Normal file
10583
tex/gfx/wifiOptGlobalFloor/global.gp
Normal file
File diff suppressed because it is too large
Load Diff
576
tex/gfx/wifiOptGlobalFloor/local.csv
Normal file
576
tex/gfx/wifiOptGlobalFloor/local.csv
Normal file
@@ -0,0 +1,576 @@
|
||||
2418 2.5482
|
||||
3041 0.961315
|
||||
3590 1.67789
|
||||
4143 1.16452
|
||||
4694 1.54299
|
||||
5268 2.06934
|
||||
5773 2.30173
|
||||
6229 2.37072
|
||||
6737 2.73572
|
||||
7357 2.42279
|
||||
7907 2.55427
|
||||
8475 2.76569
|
||||
8973 2.49902
|
||||
9523 2.40722
|
||||
10095 2.65859
|
||||
10663 2.63747
|
||||
11201 2.94528
|
||||
11686 3.01971
|
||||
12368 3.21608
|
||||
13008 3.24365
|
||||
13689 3.63774
|
||||
14143 4.54674
|
||||
14795 4.501
|
||||
15445 3.85643
|
||||
15974 4.57246
|
||||
16717 2.10704
|
||||
17504 2.13861
|
||||
18143 3.95023
|
||||
19500 3.94104
|
||||
24706 7.62465
|
||||
37670 3.59044
|
||||
41986 3.94598
|
||||
42595 3.43345
|
||||
43269 5.00966
|
||||
43884 3.0943
|
||||
44401 2.36738
|
||||
45078 0.741691
|
||||
45531 1.33262
|
||||
46169 1.36848
|
||||
46781 2.20311
|
||||
47183 2.64756
|
||||
47741 3.19568
|
||||
48412 3.9176
|
||||
49021 5.65522
|
||||
49548 6.68033
|
||||
50010 7.25763
|
||||
50533 8.21924
|
||||
51164 2.02418
|
||||
51702 1.63955
|
||||
52232 2.79709
|
||||
52668 2.29254
|
||||
53296 2.08307
|
||||
53824 2.15854
|
||||
54359 2.23401
|
||||
54892 2.11739
|
||||
55407 2.35406
|
||||
55931 2.28559
|
||||
56469 1.98842
|
||||
57002 1.87373
|
||||
57531 1.77462
|
||||
58078 1.93816
|
||||
58587 1.37693
|
||||
59126 1.16453
|
||||
59645 1.23341
|
||||
60199 1.03902
|
||||
60736 1.11181
|
||||
61260 1.21169
|
||||
61793 1.30902
|
||||
62319 1.42194
|
||||
62834 1.29673
|
||||
63392 1.38074
|
||||
63908 1.52
|
||||
64475 1.20676
|
||||
65003 1.4348
|
||||
65527 1.37696
|
||||
66050 1.28443
|
||||
66579 1.28723
|
||||
67148 1.63868
|
||||
67681 1.72885
|
||||
68228 1.55225
|
||||
68777 0.943601
|
||||
69304 0.781924
|
||||
69851 3.17526
|
||||
70446 1.86313
|
||||
70888 2.01102
|
||||
71530 1.46524
|
||||
72099 1.55439
|
||||
72763 2.17234
|
||||
73332 2.08082
|
||||
73872 1.80684
|
||||
74493 2.0874
|
||||
75027 2.37461
|
||||
75444 2.99742
|
||||
76202 0.466375
|
||||
76676 0.419083
|
||||
77439 0.672429
|
||||
78068 1.4774
|
||||
78685 2.09991
|
||||
79268 2.59353
|
||||
79782 3.50553
|
||||
80681 4.25767
|
||||
81166 2.9714
|
||||
82529 1.38048
|
||||
84518 0.828254
|
||||
86454 0.724769
|
||||
94533 1.12008
|
||||
106114 0.602604
|
||||
106563 0.347289
|
||||
107175 1.06734
|
||||
108306 2.10155
|
||||
119254 1.35512
|
||||
120817 2.37384
|
||||
122173 2.14309
|
||||
123193 2.22217
|
||||
123883 2.25186
|
||||
124526 1.93749
|
||||
125068 2.08957
|
||||
125687 2.30113
|
||||
126346 2.00874
|
||||
127063 2.21191
|
||||
127751 1.18261
|
||||
128412 1.47797
|
||||
129137 1.26169
|
||||
129630 0.645919
|
||||
130331 1.14191
|
||||
130943 1.04158
|
||||
131468 1.09626
|
||||
132365 1.46639
|
||||
133881 1.10457
|
||||
145190 4.92926
|
||||
145716 4.63325
|
||||
146267 4.98671
|
||||
146839 5.01883
|
||||
147430 4.81272
|
||||
148055 2.6764
|
||||
148604 2.30853
|
||||
149199 1.91002
|
||||
149727 1.3647
|
||||
150332 1.46931
|
||||
150851 1.54403
|
||||
151530 1.80449
|
||||
152162 0.602381
|
||||
152686 0.613139
|
||||
153403 1.19207
|
||||
154011 1.50893
|
||||
154602 1.08279
|
||||
155158 1.36368
|
||||
155706 1.19998
|
||||
156207 0.682676
|
||||
156747 1.6601
|
||||
157276 1.77043
|
||||
157818 1.8749
|
||||
158347 1.7729
|
||||
158875 1.47151
|
||||
159405 1.00696
|
||||
159965 1.13335
|
||||
160507 1.1851
|
||||
161025 1.00012
|
||||
161512 1.18386
|
||||
162057 1.28396
|
||||
162554 0.910122
|
||||
163105 0.813935
|
||||
163647 0.725723
|
||||
164166 1.22464
|
||||
164703 1.39721
|
||||
165245 1.6561
|
||||
165769 2.18186
|
||||
166282 2.25566
|
||||
166809 2.59625
|
||||
167359 2.10863
|
||||
167918 1.43506
|
||||
168455 0.809694
|
||||
168957 0.744245
|
||||
169525 0.462122
|
||||
170049 0.454262
|
||||
170613 0.345752
|
||||
171044 0.287735
|
||||
171738 0.27849
|
||||
172204 0.678601
|
||||
172918 0.835065
|
||||
173606 1.28329
|
||||
174102 0.950558
|
||||
174609 0.54339
|
||||
175362 0.504686
|
||||
175992 0.989147
|
||||
176798 0.779365
|
||||
177326 0.420637
|
||||
177911 1.59442
|
||||
178487 1.57756
|
||||
179109 1.6988
|
||||
179694 1.85246
|
||||
180236 1.85327
|
||||
180774 1.85703
|
||||
181277 1.50723
|
||||
181825 1.69701
|
||||
182346 1.91902
|
||||
182897 2.12617
|
||||
183416 2.01376
|
||||
183960 5.68342
|
||||
184477 5.68761
|
||||
185041 5.13791
|
||||
185510 4.68086
|
||||
186056 4.14888
|
||||
186459 4.06291
|
||||
186862 3.1106
|
||||
187290 3.27016
|
||||
187937 2.68192
|
||||
188458 1.4567
|
||||
188963 1.9092
|
||||
189623 2.38154
|
||||
190167 1.60452
|
||||
190665 1.08135
|
||||
191343 1.66708
|
||||
191971 2.34041
|
||||
192456 2.60762
|
||||
193439 2.93631
|
||||
194275 4.35779
|
||||
194900 5.06228
|
||||
195457 5.55113
|
||||
196035 4.80087
|
||||
196590 3.70838
|
||||
197423 3.53579
|
||||
198235 3.62272
|
||||
211605 4.8236
|
||||
213412 5.22759
|
||||
214209 5.0676
|
||||
215325 9.2098
|
||||
215863 9.57839
|
||||
216496 9.94323
|
||||
217065 9.88609
|
||||
217656 2.00758
|
||||
218307 0.905007
|
||||
219124 0.662573
|
||||
219654 3.97064
|
||||
220415 0.990355
|
||||
221045 1.06952
|
||||
221600 1.01066
|
||||
222317 1.205
|
||||
223542 2.32322
|
||||
227211 3.11826
|
||||
255706 4.16628
|
||||
256340 3.97235
|
||||
256982 3.40304
|
||||
257742 3.50338
|
||||
258413 3.16586
|
||||
258982 2.85229
|
||||
259541 3.18707
|
||||
260194 2.79981
|
||||
260747 3.05196
|
||||
261545 2.63541
|
||||
262329 3.28585
|
||||
262862 3.65476
|
||||
263399 3.31366
|
||||
263909 3.25055
|
||||
264416 3.42033
|
||||
265095 1.92116
|
||||
265839 2.84171
|
||||
266912 2.11525
|
||||
267484 1.61136
|
||||
268115 1.39038
|
||||
268657 0.993702
|
||||
269295 1.40688
|
||||
269845 1.16704
|
||||
270467 1.63497
|
||||
270956 1.4906
|
||||
271462 1.51028
|
||||
272022 2.62305
|
||||
272620 2.96958
|
||||
273193 2.67619
|
||||
273769 4.21225
|
||||
274223 4.63943
|
||||
274816 4.68063
|
||||
275371 6.22773
|
||||
275947 7.27467
|
||||
276462 7.24162
|
||||
277062 7.80441
|
||||
277616 9.434
|
||||
278079 9.82845
|
||||
278674 10.6976
|
||||
279273 10.6574
|
||||
279849 11.1818
|
||||
280399 11.7046
|
||||
280928 8.65264
|
||||
281505 2.51716
|
||||
282029 2.69264
|
||||
282505 2.91761
|
||||
283030 2.51156
|
||||
283496 2.27445
|
||||
284135 1.33925
|
||||
284905 1.50233
|
||||
285708 1.57259
|
||||
286381 2.31014
|
||||
286959 2.03479
|
||||
287649 2.25229
|
||||
288213 2.52279
|
||||
288753 2.45922
|
||||
289248 2.50946
|
||||
289742 2.56023
|
||||
290317 2.59985
|
||||
290867 2.47682
|
||||
291378 1.79389
|
||||
291911 1.65
|
||||
292414 1.70874
|
||||
292937 1.42951
|
||||
293443 1.61624
|
||||
293989 1.48514
|
||||
294500 0.585846
|
||||
295055 0.455205
|
||||
295565 0.861499
|
||||
296112 0.765383
|
||||
296605 0.455065
|
||||
297162 0.610709
|
||||
297653 0.184103
|
||||
298219 0.281158
|
||||
298729 0.888634
|
||||
299283 0.787971
|
||||
299768 1.19005
|
||||
300338 0.488492
|
||||
300845 0.88292
|
||||
301374 1.164
|
||||
301871 0.780495
|
||||
302422 1.09092
|
||||
302937 0.804457
|
||||
303488 0.934444
|
||||
304008 1.00435
|
||||
304558 0.926466
|
||||
305091 1.05436
|
||||
305652 0.890037
|
||||
306138 1.0206
|
||||
306682 0.682184
|
||||
307227 0.815448
|
||||
307768 1.09813
|
||||
308338 1.62301
|
||||
308826 1.40825
|
||||
309504 2.00219
|
||||
310072 0.565492
|
||||
310682 0.47027
|
||||
311259 0.353614
|
||||
311778 0.0787535
|
||||
312411 5.22445
|
||||
312842 6.0735
|
||||
314111 7.17424
|
||||
314767 7.26271
|
||||
315349 6.72959
|
||||
315816 6.23895
|
||||
316563 5.37447
|
||||
317128 1.03861
|
||||
317563 1.1696
|
||||
318065 1.5829
|
||||
318498 1.97222
|
||||
319016 2.45705
|
||||
319492 5.294
|
||||
320046 6.44505
|
||||
320451 2.42023
|
||||
320961 2.32881
|
||||
321389 2.61391
|
||||
322006 3.60897
|
||||
322411 4.55551
|
||||
322983 4.79951
|
||||
323500 4.33895
|
||||
324143 3.95687
|
||||
324650 3.06339
|
||||
325218 1.98075
|
||||
325622 1.66933
|
||||
326599 2.59178
|
||||
327147 3.56173
|
||||
327555 5.79015
|
||||
328131 6.94007
|
||||
328532 7.85222
|
||||
329143 9.0611
|
||||
329610 10.1813
|
||||
330183 11.2712
|
||||
330698 12.2684
|
||||
331230 13.4973
|
||||
331750 14.6105
|
||||
332368 15.7985
|
||||
333329 15.9852
|
||||
333993 16.0742
|
||||
334646 13.2851
|
||||
335398 13.5851
|
||||
336011 13.8316
|
||||
336569 13.8871
|
||||
337168 14.0481
|
||||
337659 14.2355
|
||||
338243 14.3363
|
||||
338793 14.546
|
||||
339308 14.8158
|
||||
339769 14.8182
|
||||
340404 14.7309
|
||||
340848 14.7008
|
||||
341518 14.7825
|
||||
342017 14.8479
|
||||
342665 14.922
|
||||
343453 15.0644
|
||||
346315 14.8055
|
||||
355507 14.8467
|
||||
358982 14.7286
|
||||
359656 14.5946
|
||||
362184 14.5894
|
||||
362915 14.7997
|
||||
371463 15.4469
|
||||
385603 16.2857
|
||||
386379 16.0399
|
||||
387034 16.5711
|
||||
387617 16.996
|
||||
388352 17.0209
|
||||
388921 17.2568
|
||||
389514 17.748
|
||||
390123 18.1841
|
||||
390893 5.79475
|
||||
391427 6.49895
|
||||
392116 6.65378
|
||||
392623 8.28732
|
||||
393156 8.87924
|
||||
393716 10.1171
|
||||
394295 8.68055
|
||||
395040 9.84972
|
||||
407040 10.668
|
||||
413248 9.53184
|
||||
419249 7.88751
|
||||
419656 7.65055
|
||||
432554 8.40441
|
||||
453107 9.7778
|
||||
457347 8.97023
|
||||
458038 9.2487
|
||||
459379 8.7753
|
||||
460005 8.80387
|
||||
460589 8.00831
|
||||
461272 7.77215
|
||||
461750 6.75686
|
||||
462359 6.7927
|
||||
463184 6.18462
|
||||
463650 5.80955
|
||||
464285 5.7455
|
||||
465046 5.89504
|
||||
477627 4.8242
|
||||
478161 4.53392
|
||||
478871 4.36869
|
||||
479597 4.82152
|
||||
480291 4.26508
|
||||
480934 3.36191
|
||||
481603 3.04222
|
||||
482220 1.87135
|
||||
483287 1.64425
|
||||
483959 1.33122
|
||||
484612 2.5118
|
||||
485093 1.73696
|
||||
485735 0.632515
|
||||
486255 1.27077
|
||||
486717 3.28788
|
||||
487259 3.77343
|
||||
487764 3.75548
|
||||
488423 3.56621
|
||||
488873 4.10184
|
||||
489413 4.03901
|
||||
489983 4.22128
|
||||
490630 4.03929
|
||||
491074 3.81144
|
||||
491607 3.75982
|
||||
492162 3.75826
|
||||
492721 14.8972
|
||||
493409 13.1629
|
||||
493885 11.7739
|
||||
494763 11.1992
|
||||
495414 11.1316
|
||||
496098 10.0165
|
||||
496576 9.27619
|
||||
497259 8.91764
|
||||
497709 9.57476
|
||||
498391 8.15295
|
||||
498950 7.65385
|
||||
499406 7.03603
|
||||
499988 6.53812
|
||||
500595 6.02482
|
||||
501301 5.68478
|
||||
501975 5.68052
|
||||
502421 5.2306
|
||||
503081 5.57101
|
||||
503812 5.99706
|
||||
504689 6.18679
|
||||
505243 6.63462
|
||||
505899 7.19081
|
||||
506489 7.95001
|
||||
507119 8.5195
|
||||
507705 9.84844
|
||||
508322 10.578
|
||||
508946 11.5455
|
||||
509726 11.5589
|
||||
511580 10.8646
|
||||
517838 7.73628
|
||||
519202 6.80744
|
||||
519824 6.71395
|
||||
520371 6.64485
|
||||
521039 5.10198
|
||||
521502 4.9332
|
||||
522170 4.87856
|
||||
522614 5.42461
|
||||
523212 6.23737
|
||||
523932 6.21022
|
||||
524610 7.02927
|
||||
525020 7.47532
|
||||
525425 8.12362
|
||||
525891 6.67237
|
||||
526333 7.06939
|
||||
526812 6.70685
|
||||
527292 6.97072
|
||||
527748 7.19584
|
||||
528169 7.26873
|
||||
528632 3.64766
|
||||
529092 1.10612
|
||||
529546 1.21371
|
||||
529999 1.19866
|
||||
530445 2.07784
|
||||
530985 2.05019
|
||||
531462 1.55402
|
||||
531969 1.33781
|
||||
532439 1.15789
|
||||
532936 1.26473
|
||||
533422 0.979284
|
||||
533856 1.14777
|
||||
534478 1.27268
|
||||
535110 1.52161
|
||||
535761 1.78096
|
||||
536377 2.71338
|
||||
537017 2.9151
|
||||
537479 2.8227
|
||||
538020 4.96541
|
||||
538645 5.5891
|
||||
539161 4.65842
|
||||
539645 5.58029
|
||||
540165 6.93976
|
||||
540686 6.86248
|
||||
541234 3.09955
|
||||
541783 4.35721
|
||||
542367 4.09857
|
||||
543046 3.54351
|
||||
543608 3.84445
|
||||
544163 3.97808
|
||||
544727 4.97707
|
||||
545203 6.20857
|
||||
545767 6.72879
|
||||
546361 6.78487
|
||||
547069 0.671932
|
||||
547621 5.82008
|
||||
548197 5.42823
|
||||
548743 1.93752
|
||||
549307 2.06086
|
||||
549904 1.3945
|
||||
550442 2.1108
|
||||
551033 2.03564
|
||||
551598 1.3256
|
||||
552177 1.51403
|
||||
552781 1.65053
|
||||
553378 2.17683
|
||||
554836 2.25527
|
||||
559738 2.73829
|
||||
560922 2.74273
|
||||
561658 2.77552
|
||||
574171 3.88248
|
||||
582190 4.43344
|
||||
586049 3.86081
|
||||
586466 2.90364
|
||||
587109 0.559653
|
||||
587563 0.550365
|
||||
588175 1.02689
|
||||
588629 1.40344
|
||||
589287 8.90757
|
||||
589746 12.1738
|
||||
590524 12.8458
|
||||
590992 13.2814
|
||||
==========================================================
|
||||
Average of all statistical data:
|
||||
Median: 2.62305
|
||||
Average: 4.2586
|
||||
Standard Deviation: 3.98062
|
||||
75 Quantil: 5.79015
|
||||
|
558
tex/gfx/wifiOptGlobalFloor/local.gp
Normal file
558
tex/gfx/wifiOptGlobalFloor/local.gp
Normal file
@@ -0,0 +1,558 @@
|
||||
set terminal x11 size 2000,1500
|
||||
set ticslevel 0
|
||||
unset key
|
||||
set xrange [0.700000:72.000000]
|
||||
set xtics autofreq
|
||||
set format x '%h'
|
||||
unset xlabel
|
||||
set yrange [-1.100000:51.700001]
|
||||
set ytics autofreq
|
||||
set format y '%h'
|
||||
unset ylabel
|
||||
set zrange [0.000000:11.000000]
|
||||
set ztics autofreq
|
||||
set format z '%h'
|
||||
unset zlabel
|
||||
set cbtics autofreq
|
||||
set format cb '%h'
|
||||
unset cblabel
|
||||
set ticslevel 0
|
||||
unset lmargin
|
||||
unset rmargin
|
||||
unset tmargin
|
||||
unset bmargin
|
||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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||||
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e
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pause -1
|
||||
Reference in New Issue
Block a user