Merge branch 'master' of https://git.frank-ebner.de/FHWS/IPIN2018
This commit is contained in:
@@ -1,7 +1,7 @@
|
||||
\abstract{
|
||||
Within this work we present an updated version of our \del{award-winning} indoor localization system for smartphones.
|
||||
The \add{pedestrian's} position is given by means of recursive state estimation using a particle filter to incorporate different probabilistic sensor models.
|
||||
Our \del{rapid computation} \add{recently presented approximation} scheme of the kernel density estimation allows to find an exact estimation of the current position\add{, instead of classical methods like weighted-average}.
|
||||
Our \del{rapid computation} \add{recently presented approximation} scheme of the kernel density estimation allows to find an exact estimation of the current position\add{, compared to classical methods like weighted-average}.
|
||||
%
|
||||
Absolute positioning information is given by a comparison between recent \docWIFI{} measurements of nearby access points and signal strength predictions.
|
||||
Instead of using time-consuming approaches like classic fingerprinting or measuring the exact positions of access points, we use an optimization scheme based on a few reference measurements to estimate a corresponding \docWIFI{} model.
|
||||
|
||||
@@ -30,7 +30,7 @@ In the case of particle filters the MMSE estimate equals to the weighted-average
|
||||
where $W_t=\sum_{i=1}^{N}w^i_t$ is the sum of all weights.
|
||||
While producing an overall good result in many situations, it fails when the posterior is multimodal.
|
||||
In these situations the weighted-average estimate will find the estimate somewhere between the modes.
|
||||
Clearly, such a position between modes is extremely unlikely the position of the pedestrian.
|
||||
\del{Clearly}\add{It is expected that}, such a position between modes is extremely unlikely the position of the pedestrian.
|
||||
The real position is more likely to be found at the position of one of the modes, but virtually never somewhere between.
|
||||
|
||||
In the case of a multimodal posterior the system should estimate the position based on the highest mode.
|
||||
@@ -39,7 +39,7 @@ A straightforward approach is to select the particle with the highest weight.
|
||||
However, this is in fact not necessarily a valid MAP estimate, because only the weight of the particle is taken into account.
|
||||
In order to compute the true MAP estimate the local density of the particles needs to be considered as well \cite{cappe2007overview}.
|
||||
|
||||
\del{It is obvious,} A computation of the probability density function of the posterior could solve the above, but finding such an analytical solution is clearly an intractable problem, which is the reason for applying a sample representation in the first place.
|
||||
\del{It is obvious,} A computation of the probability density function of the posterior could solve the above, but finding such an analytical solution is \del{clearly} an intractable problem, which is the reason for applying a sample representation in the first place.
|
||||
A feasible alternative is to estimate the parameters of a specific parametric model based on the sample set, assuming that the unknown distribution is approximately a parametric distribution or a mixture of parametric distributions, \eg{} Gaussian mixture distributions.
|
||||
Given the estimated parameters the most probable state can be obtained from the parameterised density function.
|
||||
%In the case of multi-modalities several parametric distributions can be combined into a mixture distribution.
|
||||
|
||||
@@ -28,7 +28,7 @@ Many unknown quantities, like the walls definitive material or thickness, make i
|
||||
Additionally, \del{most wireless} \add{many of these} approaches are based on a line-of-sight assumption.
|
||||
Thus, the performance will be even more limited due to the irregularly shaped spatial structure of such buildings.
|
||||
Our approach tries to avoid those problems using an optimization scheme for Wi-Fi based on a \del{few} \add{set of} reference measurements.
|
||||
We distribute a \del{small number} \add{set} of \del{simple} \add{small (\SI{2.8}{\centi\meter} x \SI{3.5}{\centi\meter})} and cheap \add{($\approx \SI{10}{\$}$)} \docWIFI{} beacons over the whole building \add{to ensure a reasonable coverage} and instead of measuring their position \add{and necessary parameters, we use our optimization scheme, initially presented in \cite{Ebner-17}}.
|
||||
We distribute a \del{small number} \add{set} of \del{simple} \add{small (\SI{2.8}{\centi\meter} x \SI{3.5}{\centi\meter})} and cheap \add{($\approx \$10$)} \docWIFI{} beacons over the whole building \add{to ensure a reasonable coverage} and instead of measuring their position \add{and necessary parameters, we use our optimization scheme, initially presented in \cite{Ebner-17}}.
|
||||
|
||||
\add{An optimization scheme is able to compensate for wrongly measured access point positions, inaccurate building plans or other knowledge necessary for the Wi-Fi component.
|
||||
}
|
||||
@@ -69,7 +69,7 @@ The existing Wi-Fi infrastructure can consist of the aforementioned Wi-Fi beacon
|
||||
The combination of both technologies is feasible, depending on the scenario and building.
|
||||
Nevertheless, the museum considered in this work has no Wi-Fi infrastructure at all, not even a single access point.
|
||||
Thus, we distributed a set of \SI{42}{beacons} throughout the complete building by simply plugging them into available power outlets.
|
||||
Despite evaluating the novel contributions and the overall performance of the system, we have carried out additional experiments to determine the performance of our Wi-Fi optimization in such a complex scenario as well as a detailed comparison between KDE-based and weighted-average position estimation.}
|
||||
In addition to evaluating the novel contributions and the overall performance of the system, we have carried out further experiments to determine the performance of our Wi-Fi optimization in such a complex scenario as well as a detailed comparison between KDE-based and weighted-average position estimation.}
|
||||
|
||||
%novel experiments to previous methods due to the complex scenario blah und blub.}
|
||||
%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}.
|
||||
|
||||
Reference in New Issue
Block a user