Thesis+Figure: Split Cable Measurements at 50MHz

This commit is contained in:
Eric Teunis de Boone 2023-11-13 10:28:33 +01:00
parent f9071eeeff
commit 677105d651
5 changed files with 30 additions and 8 deletions

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@ -68,7 +68,7 @@ Both the \gls{ADC} and the filterchains introduce systematic delays.
Since each channel corresponds to a polarisation, it is important that relative systematic delays between the channels can be accounted for. Since each channel corresponds to a polarisation, it is important that relative systematic delays between the channels can be accounted for.
\\ \\
\begin{figure}[h] \begin{figure}
\centering \centering
\includegraphics[width=0.4\textwidth]{grand/setup/channel-delay-setup.pdf} \includegraphics[width=0.4\textwidth]{grand/setup/channel-delay-setup.pdf}
\caption{ \caption{
@ -115,12 +115,36 @@ However, because it is symmetric for both setups, this does not affect the measu
\label{fig:split-cable:waveform} \label{fig:split-cable:waveform}
\end{subfigure} \end{subfigure}
\caption{ \caption{
Waveforms of the sine wave measured in the ``forward'' setup and the phase shift between the channels. Waveforms of the sine wave measured in the ``forward'' setup and their spectra near the testing frequency of $50\MHz$..
The sine wave was emitted at $50\MHz$ at $200\;\mathrm{mVpp}$. The sine wave was emitted at $200\;\mathrm{mVpp}$.
} }
\label{fig:grand:signal} \label{fig:grand:signal}
\end{figure}% >>> \end{figure}% >>>
\begin{figure}% <<< fig:grand:phaseshift
\centering
\includegraphics[width=0.47\textwidth]{grand/split-cable/sine-sweep/ch2ch4fig8-histogram.50.pdf}
\caption{
Histogram of the measured phase shifts in Figure~\ref{fig:grand:phaseshift:measruement}.
}
\label{fig:grand:phaseshift}
\end{figure}% >>>
\begin{figure}% <<< fig:grand:phaseshift:measurements
\centering
\begin{subfigure}{0.47\textwidth}
\includegraphics[width=0.47\textwidth]{grand/split-cable/sine-sweep/ch2ch4fig9-measurements.forward.50.pdf}
\end{subfigure}
\hfill
\begin{subfigure}{0.47\textwidth}
\includegraphics[width=0.47\textwidth]{grand/split-cable/sine-sweep/ch2ch4fig9-measurements.backward.50.pdf}
\end{subfigure}
\caption{
The measured phase shifts at $50\MHz$ converted to a time delay.
}
\label{fig:grand:phaseshift}
\end{figure}
%\begin{figure}% <<<< %\begin{figure}% <<<<
% \centering % \centering
% \begin{subfigure}{0.45\textwidth} % \begin{subfigure}{0.45\textwidth}

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@ -190,7 +190,6 @@ Of course, a gaussian white noise component is introduced to the waveform as a s
The green dashed lines indicate the measured beacon parameters. The green dashed lines indicate the measured beacon parameters.
The amplitude spectrum clearly shows a strong component at roughly $50\MHz$. The amplitude spectrum clearly shows a strong component at roughly $50\MHz$.
The phase spectrum of the original waveform shows the typical behaviour for a short pulse. The phase spectrum of the original waveform shows the typical behaviour for a short pulse.
\protect\Todo{ft amplitude airshower x1000}
} }
\label{fig:single:proton} \label{fig:single:proton}
\end{figure}% >>> \end{figure}% >>>
@ -211,7 +210,7 @@ Since the beacon can be recorded for much longer than the air shower signal, we
The remaining waveform is fed into a \gls{DTFT} \eqref{eq:fourier:dtft} to measure the beacon's phase $\pMeas$ and amplitude. The remaining waveform is fed into a \gls{DTFT} \eqref{eq:fourier:dtft} to measure the beacon's phase $\pMeas$ and amplitude.
Note that due to explicitly including a time axis in a \gls{DTFT}, a number of samples can be omitted without introducing artifacts. Note that due to explicitly including a time axis in a \gls{DTFT}, a number of samples can be omitted without introducing artifacts.
\\ \\
With the obtained beacon parameters, the air shower signal is in turn reconstructed by subtracting the beacon from the full waveform in the time domain.\Todo{cite GAP note?} With the obtained beacon parameters, the air shower signal is in turn reconstructed by subtracting the beacon from the full waveform in the time domain.
\\ \\
The small clock defect $\tClockPhase$ is then finally calculated from the beacon's phase $\pMeas$ by subtracting the phase introduced by the propagation from the beacon transmitter. The small clock defect $\tClockPhase$ is then finally calculated from the beacon's phase $\pMeas$ by subtracting the phase introduced by the propagation from the beacon transmitter.
\\ \\
@ -284,7 +283,7 @@ Afterwards, a new grid zooms in on the power maximum and the process is repeated
\begin{subfigure}[t]{0.45\textwidth} \begin{subfigure}[t]{0.45\textwidth}
\includegraphics[width=\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.reconstruction.run0.power.pdf} \includegraphics[width=\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.reconstruction.run0.power.pdf}
\caption{ \caption{
Power measurement with the $k$s belonging to the overall maximum of the amplitude maxima. Power measurement with the $k$'s belonging to the overall maximum of the amplitude maxima.
} }
\label{fig:findks:reconstruction} \label{fig:findks:reconstruction}
\end{subfigure} \end{subfigure}
@ -308,7 +307,7 @@ Afterwards, a new grid zooms in on the power maximum and the process is repeated
\begin{subfigure}[t]{0.45\textwidth} \begin{subfigure}[t]{0.45\textwidth}
\includegraphics[width=\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.maxima.run2.pdf} \includegraphics[width=\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.maxima.run2.pdf}
\caption{ \caption{
Final test grid obtaining the same $k$ as Figure~\ref{fig:findks:maxima:zoomed}. Final test grid obtaining the same $k$'s as Figure~\ref{fig:findks:maxima:zoomed}.
} }
\label{fig:findks:maxima:zoomed2} \label{fig:findks:maxima:zoomed2}
\end{subfigure} \end{subfigure}
@ -476,7 +475,6 @@ Additionally, since the true period shifts are static per event, evaluating the
their effect on (\textit{right}) the alignment of the waveforms at the true axis their effect on (\textit{right}) the alignment of the waveforms at the true axis
and (\textit{left}) the interferometric power near the simulation axis (red plus). and (\textit{left}) the interferometric power near the simulation axis (red plus).
The maximum power is indicated by the blue cross. The maximum power is indicated by the blue cross.
% \protect\Todo{x-axis relative to reference waveform, remove titles, no SNR}
} }
\label{fig:grid_power_time_fixes} \label{fig:grid_power_time_fixes}
\end{figure}%>>> \end{figure}%>>>