From b6be12f834052b87a13823d47067e5bbb0170db6 Mon Sep 17 00:00:00 2001
From: Refik Hadzialic
Date: Mon, 4 Jun 2012 19:06:46 +0200
Subject: Modification and writing appendix

---
 vorlagen/thesis/src/kapitel_A.tex | 82 ++++++++++++++++++++++++++++++++++++---
 1 file changed, 77 insertions(+), 5 deletions(-)

(limited to 'vorlagen/thesis/src/kapitel_A.tex')

diff --git a/vorlagen/thesis/src/kapitel_A.tex b/vorlagen/thesis/src/kapitel_A.tex
index 92875c6..30e02da 100644
--- a/vorlagen/thesis/src/kapitel_A.tex
+++ b/vorlagen/thesis/src/kapitel_A.tex
@@ -1,5 +1,6 @@
 \addchap{Appendix}
-\numberwithin{equation}{section}
+\numberwithin{equation}{subsection}
+\numberwithin{table}{subsection}
 \section{Installation and configuration guide}
 In order to evaluate the localization system, it is required to install OpenBSC
 and to modify the proper source files and compile the system. The aim of this
@@ -9,8 +10,9 @@ was successfully tested out on the following operating systems:
 Ubuntu 10.04 LTS 64 bit and Ubuntu 12.04 LTS 64 bit. A self-bootable test 
 USB system is supplied with the thesis and it can be evaluated without executing
 the given steps. There is a marking difference between text given in light and
-dark grey background color, the first ought to be typed in into the terminal window
-whereas the later emphasizes a file modification process. 
+dark grey background color, the first ought to be typed in into or
+is produced by the terminal window whereas the later emphasizes a
+file modification case. 
 \subsection{Installation of OpenBSC}
 In order to compile OpenBSC it is required to install the following precompiled
 packages\footnote{If more details are required for the installation process a guide can be found at \citep{openbscInstall}.}:
@@ -177,8 +179,9 @@ A table with frequency channels can be found at the following URL:
 %\end{equation}
 
 
-On line 53, the last configuration file modification has to be made.
-The Unit ID from the output above has to be set\footnote{Indentation has to match the one of the configuration file.}. 
+On line numbered 53, the last configuration file modification has to be made for the final configuration of the OpenBSC
+software. The Unit ID from the output above has to be set\footnote{Indentation has to match the one of the
+configuration file.}. 
 \begin{lstlisting}
 ip.access unit_id 1801 0
 \end{lstlisting}
@@ -265,6 +268,75 @@ settings =
 };
 \end{lstlisting}
 
+The uncertainty of the latitude and longitude correctness can be described
+using equation \ref{eq:unclatlong} \citep{3gppequations}. The uncertainty of
+$r$ is expressed in meters, it defines how accurate is the specified location
+of the BTS. In the configuration file, $K$ is set to 7, which corresponds to
+$r$ = 9.4872 m. Instead of using the parameter $K$ as the known variable,
+the equation \ref{eq:unclatlong} can be rewritten as in \ref{eq:unclatlongnew}, 
+where we can get $K$ for a chosen $r$.
+\begin{equation}
+\label{eq:unclatlong}
+\centering
+\begin{array}{l}
+\displaystyle r=C\cdot((1+x)^{K}-1) \\
+\displaystyle \\
+\displaystyle where \left\{ \begin{array}{rcl}
+ C & = & 10 \\ 
+ x & = & 0.1 \\
+ K & \in & [0,127] \cap \mathbb{N}_{0}
+\end{array}\right.
+\end{array}
+\end{equation}
+
+\begin{equation}
+\label{eq:unclatlongnew}
+\centering
+\begin{array}{l}
+\displaystyle K=\bigg\lceil\frac{ln(\frac{r}{C}+1)}{ln(1+x)}\bigg\rceil \\
+\displaystyle \\
+\displaystyle where \left\{ \begin{array}{rcl}
+ C & = & 10 \\ 
+ x & = & 0.1 \\
+ r & \in & [0,1800]\, \mathrm{km}
+\end{array}\right.
+\end{array}
+\end{equation}
+
+Some uncertainties $r$ are given in table \ref{tab:unclatlong} for $K$.
+\begin{table}[h]
+\centering
+\begin{tabular}{|c|c|}
+\hline
+Value of $K$ & Value of uncertainty $r$\\
+\hline
+0 & 0 m\\
+\hline
+1 & 1 m \\
+\hline
+2 & 2.1 m\\
+\hline
+3 & 3.3 m\\
+\hline
+- & - \\
+\hline
+20 & 57.3 m\\
+\hline
+- & -\\
+\hline 
+60 & 3.0348 km\\
+\hline 
+- & -\\
+\hline 
+100 & 137.8 km\\
+\hline 
+- & -\\
+\hline 
+\end{tabular}
+\caption{Uncertainties for different values of $K$}
+\label{tab:unclatlong}
+\end{table}
+
 \newpage
 
 \section{Sourcecode}
-- 
cgit v1.2.3-55-g7522

