Reworked introduction with feedback

presentations/2022-02-03_group_meeting/2022-02-03_group_meeting.tex

@@ -32,10 +32,24 @@
 \begin{document}
 \frame{\titlepage}
 
-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
 \section{Timing Mechanisms in Detectors}
 \begin{frame}{Timing Mechanisms}
-	\begin{block}{Timing Mechanisms}
+	\begin{block}{Why improve timing accuracy?}
+		\begin{itemize}
+			\item Better statistics (narrow down direction of air showers)
+			\item Interferometry
+		\end{itemize}
+	\end{block}
+	\begin{block}{Strategy}
+		\begin{itemize}
+			\item Simulations for synchronisation techniques
+			\item Characterising current methods
+		\end{itemize}
+	\end{block}
+\end{frame}
+\begin{frame}{Characterising current methods}
+	\begin{block}{Current Timing Methods}
 	\begin{itemize}
 		\item GNSS (online)
 		\item Beacon (offline)
@@ -43,18 +57,11 @@
 	\end{block}
 	\vspace{2em}
 	\begin{itemize}
+		\item GPS Accuracy $\leq 30 \mathrm{ns}$ for $95$\% time (often better)
+		\item Total time accuracy in the order of 5 -- 10~ns
 		\item More accurate reference timing needed to characterise/improve current mechanisms.
 	\end{itemize}
-\end{frame}
 
-%%%%%%%%%%%%%
-\subsection{GNSS}
-\begin{frame}{Timing Mechanisms: GNSS}
-	\begin{block}{}
-		\begin{itemize}
-			\item Accuracy $\sim 5 ns$
-		\end{itemize}
-	\end{block}
 \end{frame}
 
 %%%%%%%%%%%%%
@@ -64,7 +71,7 @@
 				\item Beating between frequency signals indicate timing
 				\item PA: located in physics band $\mapsto$ offline analysis, \\
 						  corrects for GPS drift.
-				\item different frequency responses for antenna models
+				\item different frequency responses for antenna models and directions
 			\end{itemize}
 		\begin{columns}
 		\begin{column}{.5\textwidth}
@@ -134,7 +141,7 @@
 		\hspace{-2em}
 		u(t) = \exp(i2\pi ft + \phi_t)	\xrightarrow{\mathrm{Fourier\; Transform}} f', \phi_f
 	\end{equation*}
-	\begin{block}{Discrete}
+	\begin{block}{Discrete Fourier Transform}
 		\begin{equation*}
 			N_\mathrm{required} := f_\mathrm{sample\_rate} / f_\mathrm{signal}
 		\end{equation*}