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CRHEP presentation as planned to give

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presentations/2022-10-06_group_meeting/2022-10-06_CRHEP.tex
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@ -156,40 +156,52 @@
\end{figure} \end{figure}
\end{frame} \end{frame}
\begin{frame}{Beacon: Sine (multi baseline)} \begin{frame}{Beacon: Sine (multi baseline reference antenna)}
\begin{figure} \begin{figure}
\includegraphics<1>[width=\textwidth]{beacon/field_square_ref0_phase.pdf} \includegraphics<1>[width=\textwidth]{beacon/field_square_ref0_phase.pdf}
\includegraphics<2>[width=\textwidth]{beacon/field_square_all_phase.pdf} \includegraphics<2>[width=\textwidth]{beacon/field_square_ref0_phase_zoomtx.pdf}
\end{figure} \end{figure}
\end{frame} \end{frame}
\begin{frame}{Beacon: Sine (all baselines)}
\begin{figure}
\includegraphics<1>[width=\textwidth]{beacon/field_square_all_phase.pdf}
\includegraphics<2>[width=\textwidth]{beacon/field_square_all_phase_zoomtx.pdf}
\end{figure}
\end{frame}
\subsection{Solving Sine Beacon}
\begin{frame}{Beacon: Sine: Two traces} \begin{frame}{Beacon: Sine: Two traces}
\begin{equation*} \begin{equation*}
t'_i = [t_i + \sigma_i] \mod T + n_i T = (\frac{\varphi'_i}{2\pi} + n_i)T = A_i + B_i t'_i = (\frac{\varphi'_i}{2\pi} + n_i)T = A_i + B_i
\end{equation*} \end{equation*}
\begin{figure} \begin{figure}
\includegraphics[width=1\textwidth]{beacon/08_beacon_sync_timing_outline.pdf} \includegraphics[width=1\textwidth]{beacon/08_beacon_sync_timing_outline.pdf}
\end{figure} \end{figure}
\begin{align*} \begin{align*}
\Delta t_{ij} &= (A_j + B_j) - (A_i + B_i) + \Delta t_\varphi \\ \Delta t_{ij} &= (A_j + B_j) - (A_i + B_i) + \Delta t_\varphi \\
&= \Delta A_{ij} + t_\varphi + k_{ij}T\\ &= \Delta A_{ij} + \Delta t_\varphi + k_{ij}T\\
\end{align*} \end{align*}
\end{frame} \end{frame}
\begin{frame}{Beacon: Sine: Two traces: Discrete solutions} \begin{frame}{Beacon: Sine: Two traces: Discrete solutions}
\begin{figure} \begin{figure}
\includegraphics<1>[width=1\textwidth]{beacon/08_beacon_sync_timing_outline.pdf} \includegraphics<1>[width=1\textwidth]{beacon/08_beacon_sync_timing_outline.pdf}
\includegraphics<2-3>[width=1\textwidth]{beacon/08_beacon_sync_synchronised_period_alignment.pdf} \includegraphics<2>[width=1\textwidth]{beacon/08_beacon_sync_synchronised_period_alignment.pdf}
\end{figure} \end{figure}
\alt<1-2>
{
\begin{figure} \begin{figure}
\includegraphics[width=1\textwidth]{beacon/08_beacon_sync_coherent_sum.pdf} \includegraphics[width=1\textwidth]{beacon/08_beacon_sync_coherent_sum.pdf}
\end{figure} \end{figure}
}{ \end{frame}
\begin{block}{Work in Progress}
Simulated airshower + sine beacon and determining the relative offsets between the antennas... \begin{frame}{Work in Progress}
\begin{block}{Repeat analysis on simulated airshower (without noise)}
\begin{enumerate}
\item Add beacon to each antenna
\item Assign clock offsets
\end{enumerate}
then determine the relative offsets between the antennas
\end{block} \end{block}
}
\end{frame} \end{frame}
\end{document} \end{document}