current state

tex/chapters/work.tex

@@ -1,4 +1,5 @@
-\section{WiFi Optimization}
+\section{WiFi Location Estimation}
+\label{sec:optimization}
 		
 	The WiFi sensor infers the pedestrian's current location based on a comparison between live measurements
 	(the smartphone continuously scans for nearby \docAP{}s) and reference measurements / predictions 
@@ -146,17 +147,46 @@
 
 	\subsection{Modified Signal Strength Model}
 	
-		\todo{nicht: during initial eval, sondern gleich sagen, dass die vermutung nahe liegt, dass das modell
-		nicht gut klappen wird, weil waende und unser metall-glas nicht beruecksichtigt werden. deshalb
-		versuchen wir ein anderes modell das immernoch live arbeiten kann}
-		During the initial eval, some issues were discovered. While aforementioned optimization was able to 
-		reduce the error between reference measurements and model estimations to \SI{50}{\percent},
-		the position estimation \ref{eq:wifiProb} did not benefit from improved model parameters. 
-		To the contrary, there were several situations throughout the testing walks, where
-		the inferred location was more erroneous than before.
+		%\todo{nicht: during initial eval, sondern gleich sagen, dass die vermutung nahe liegt, dass das modell
+		%nicht gut klappen wird, weil waende und unser metall-glas nicht beruecksichtigt werden. deshalb
+		%versuchen wir ein anderes modell das immernoch live arbeiten kann}
+		
+		%During the initial eval, some issues were discovered. While aforementioned optimization was able to 
+		%reduce the error between reference measurements and model estimations to \SI{50}{\percent},
+		%the position estimation \ref{eq:wifiProb} did not benefit from improved model parameters. 
+		%To the contrary, there were several situations throughout the testing walks, where
+		%the inferred location was more erroneous than before.
+		
+		As the used model does not consider walls, it is expected to provide erroneous values
+		for regions that are heavily attenuated by e.g. concrete or metallised glass.
+		
+		
+
+	\subsection{\docWIFI{} quality factor}
+	
+		\todo{wifi quality factor??}
+		\todo{formel für toni}
+	
+		\begin{equation}
+			\newcommand{\leMin}{l_\text{min}}
+			\newcommand{\leMax}{l_\text{max}}
+			q(\mRssiVec) = 
+				\max(0,
+					\min(
+						\frac{
+							\bar\mRssi - \leMin
+						}{
+							\leMax - \leMin
+						},
+						1
+					)
+				)
+			\label{eq:wifiQuality}
+		\end{equation}
 
 
 	\subsection {VAP grouping}
+	\label{sec:vap}
 		
 		Assuming normal conditions, the received signal strength at one location will (strongly) vary 
 		due to environmental conditions like temperature, humidity, open/closed doors, RF interference.