Reworked introduction with feedback

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Eric Teunis de Boone 2022-02-03 10:48:29 +01:00
parent ec4405217b
commit e862e98fd6

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@ -32,10 +32,24 @@
\begin{document} \begin{document}
\frame{\titlepage} \frame{\titlepage}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\section{Timing Mechanisms in Detectors} \section{Timing Mechanisms in Detectors}
\begin{frame}{Timing Mechanisms} \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} \begin{itemize}
\item GNSS (online) \item GNSS (online)
\item Beacon (offline) \item Beacon (offline)
@ -43,18 +57,11 @@
\end{block} \end{block}
\vspace{2em} \vspace{2em}
\begin{itemize} \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. \item More accurate reference timing needed to characterise/improve current mechanisms.
\end{itemize} \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} \end{frame}
%%%%%%%%%%%%% %%%%%%%%%%%%%
@ -64,7 +71,7 @@
\item Beating between frequency signals indicate timing \item Beating between frequency signals indicate timing
\item PA: located in physics band $\mapsto$ offline analysis, \\ \item PA: located in physics band $\mapsto$ offline analysis, \\
corrects for GPS drift. corrects for GPS drift.
\item different frequency responses for antenna models \item different frequency responses for antenna models and directions
\end{itemize} \end{itemize}
\begin{columns} \begin{columns}
\begin{column}{.5\textwidth} \begin{column}{.5\textwidth}
@ -134,7 +141,7 @@
\hspace{-2em} \hspace{-2em}
u(t) = \exp(i2\pi ft + \phi_t) \xrightarrow{\mathrm{Fourier\; Transform}} f', \phi_f u(t) = \exp(i2\pi ft + \phi_t) \xrightarrow{\mathrm{Fourier\; Transform}} f', \phi_f
\end{equation*} \end{equation*}
\begin{block}{Discrete} \begin{block}{Discrete Fourier Transform}
\begin{equation*} \begin{equation*}
N_\mathrm{required} := f_\mathrm{sample\_rate} / f_\mathrm{signal} N_\mathrm{required} := f_\mathrm{sample\_rate} / f_\mathrm{signal}
\end{equation*} \end{equation*}