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@@ -30,27 +30,27 @@ Here, a set of weighted random samples is used to solve the state estimation pro
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Based on this general methodology, many different approaches for estimating a position in indoor environments have been developed.
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All these approaches differ mainly in how the dynamics are modelled in the transition step and how a specific sensor measurement can be used for evaluation.
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For example, recent approaches are using a graph-based structure to consider environmental restrictions (walking through walls) and the characteristics of human movement (walking speed) within the transition model \cite{Ebner-15, Nurminen2014, Hilsenbeck2014}.
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For example, recent approaches are using a graph-based structure to consider environmental restrictions (walking through walls) and the characteristics of human movements (walking speed) within the transition model \cite{Ebner-15, Nurminen2014, Hilsenbeck2014}.
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The evaluation model is mostly separated into any number of sensor models, each representing the probability for a noisy measurement in regard to the current position.
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For example, a barometer can be used to determine the probability of being on a certain floor \cite{Binghao13-UBI}.
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%Another example that demonstrates the big differences between single approaches is the large number of sensor models using Wi-Fi signal strengths. There are fingerprinting methods, which require an extensive offline calibration phase, signal strength prediction models like the log-distance model or wall-attenuation-factor model and many others \cite{Ville09, Fang09, Ebner:Thesis:2013}.
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Despite the many advances made in the last years, nearly all systems suffer from more or less the same problems.
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Like mentioned before, PDR suffers from an accumulating bias,
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the signal of \docWIFI{} gets attenuated by walls
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As mentioned before, PDR suffers from an accumulating bias,
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the signal of \docWIFI{} becomes attenuated by walls
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%\commentByFrank{falls noch platz ist: noch mehr nachteile :P \docWIFI{} location estimation strongly depends on the quality of the signal-strength estimation model (oder fingerprinting) and the way the smartphone is held}
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and the barometric pressure is highly affected by weather patterns and humidity
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%\commentByFrank{spontane fenster/tuer oeffnung}
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\cite{Binghao13-UBI}.
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That is the reason for the use of statistical methods in the first place. Nevertheless, there are even more profound problems regarding the whole position estimation procedure.
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This is the reason for the use of statistical methods in the first place. Nevertheless, there are even more profound problems regarding the whole position estimation procedure.
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Current transition models, which aim to approximate the movement, are still very restrictive and unable to handle unforeseen events.
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Faulty sensor measurements, like a falsely detected turn, can cause the estimation to lose track.
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For example by recognising a turn too soon and walking into a room instead of another big hallway.
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Due to this, the filter needs some time to recover, which again takes a while because of the restrictive model (e.g. no walking through walls and only realistic walking speed).
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This temporal delay worsens the estimate immensely.
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This temporal delay worsens the estimation immensely.
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A solution to recover from such filter divergences faster, involves methods to re-initialize the filtering procedure \cite{Nurminen2014}.
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However, even this can not completely prevent delays.
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However, even this cannot completely prevent delays.
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Another reason for possible time delays are slow sensor updates.
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For example, most mobile devices restrict the \docWIFI{} module to update only every few seconds, to save on battery.
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%
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@@ -67,7 +67,7 @@ For example, most mobile devices restrict the \docWIFI{} module to update only e
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%
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Further critical problems arise from multimodal distributions.
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Those are caused by multiple possible position estimates.
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Fig. \ref{fig:multimodalPath} illustrates an example where a floor gets separated by a wall.
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Fig. \ref{fig:multimodalPath} illustrates an example where a floor is separated by a wall.
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Due to inaccurate measurements and a PDR approach for evaluating the movement, the distribution splits apart.
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Depending on the chosen estimator, the approximated position might be located somewhere in-between as seen in fig. \ref{fig:multimodalPath}.
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Only after the pedestrian turns right, the distribution is again unimodal, since moving through walls is impossible.
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@@ -80,14 +80,14 @@ However, standard filtering methods are not able to use any future information a
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One promising way to deal with these problems is smoothing.
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Smoothing methods are able to make use of future measurements for computing their estimation.
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By running backwards in time, they are also able to remove multimodalities and improve the overall localisation result.
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Since the problem of navigation, especially the representation of complex movement patterns, results in a non-linear and non-Gaussian state space, this work focuses mainly on smoothing techniques based on the broad class of MC methods.
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Since the problem of navigation, especially the representation of complex movement patterns, results in a non-linear and non-Gaussian state space, this work focuses mainly on smoothing techniques based on the broad class of MC methods, namely
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%Of course, this excludes linear procedures like Kalman filtering.
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Namely, forward-backward smoothing \cite{doucet2000} and backward simulation \cite{Godsill04:MCS}.
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forward-backward smoothing \cite{doucet2000} and backward simulation \cite{Godsill04:MCS}.
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Within this work, we investigate the benefits and drawbacks of those techniques using a conventional localisation system \cite{Ebner-16}.
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We provide both, fixed-lag and fixed-interval smoothing as well as a novel approach for incorporating them easily within the localisation procedure.
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We provide both fixed-lag and fixed-interval smoothing as well as a novel approach for incorporating them easily within the localisation procedure.
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Additionally, we enrich the state transition model with an activity recognition to distinguish between walking, standing and walking stairs.
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The main goal is to solve the above mentioned problems and to investigate new possibilities for even more advanced systems.
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The main goal is to solve the above-mentioned problems and to investigate new possibilities for even more advanced systems.
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All of our contributions are supported by an extensive experimental evaluation.
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