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Thesis+Figure: Split Cable Measurements at 50MHz
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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.
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Since each channel corresponds to a polarisation, it is important that relative systematic delays between the channels can be accounted for.
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Since each channel corresponds to a polarisation, it is important that relative systematic delays between the channels can be accounted for.
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\\
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\\
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\begin{figure}[h]
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\begin{figure}
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\centering
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\centering
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\includegraphics[width=0.4\textwidth]{grand/setup/channel-delay-setup.pdf}
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\includegraphics[width=0.4\textwidth]{grand/setup/channel-delay-setup.pdf}
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\caption{
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\caption{
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@ -115,12 +115,36 @@ However, because it is symmetric for both setups, this does not affect the measu
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\label{fig:split-cable:waveform}
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\label{fig:split-cable:waveform}
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\end{subfigure}
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\end{subfigure}
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\caption{
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\caption{
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Waveforms of the sine wave measured in the ``forward'' setup and the phase shift between the channels.
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Waveforms of the sine wave measured in the ``forward'' setup and their spectra near the testing frequency of $50\MHz$..
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The sine wave was emitted at $50\MHz$ at $200\;\mathrm{mVpp}$.
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The sine wave was emitted at $200\;\mathrm{mVpp}$.
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}
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}
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\label{fig:grand:signal}
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\label{fig:grand:signal}
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\end{figure}% >>>
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\end{figure}% >>>
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\begin{figure}% <<< fig:grand:phaseshift
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\centering
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\includegraphics[width=0.47\textwidth]{grand/split-cable/sine-sweep/ch2ch4fig8-histogram.50.pdf}
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\caption{
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Histogram of the measured phase shifts in Figure~\ref{fig:grand:phaseshift:measruement}.
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}
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\label{fig:grand:phaseshift}
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\end{figure}% >>>
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\begin{figure}% <<< fig:grand:phaseshift:measurements
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\centering
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\begin{subfigure}{0.47\textwidth}
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\includegraphics[width=0.47\textwidth]{grand/split-cable/sine-sweep/ch2ch4fig9-measurements.forward.50.pdf}
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\end{subfigure}
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\hfill
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\begin{subfigure}{0.47\textwidth}
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\includegraphics[width=0.47\textwidth]{grand/split-cable/sine-sweep/ch2ch4fig9-measurements.backward.50.pdf}
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\end{subfigure}
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\caption{
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The measured phase shifts at $50\MHz$ converted to a time delay.
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}
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\label{fig:grand:phaseshift}
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\end{figure}
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%\begin{figure}% <<<<
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%\begin{figure}% <<<<
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% \centering
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% \centering
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% \begin{subfigure}{0.45\textwidth}
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% \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
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The green dashed lines indicate the measured beacon parameters.
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The green dashed lines indicate the measured beacon parameters.
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The amplitude spectrum clearly shows a strong component at roughly $50\MHz$.
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The amplitude spectrum clearly shows a strong component at roughly $50\MHz$.
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The phase spectrum of the original waveform shows the typical behaviour for a short pulse.
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The phase spectrum of the original waveform shows the typical behaviour for a short pulse.
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\protect\Todo{ft amplitude airshower x1000}
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}
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}
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\label{fig:single:proton}
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\label{fig:single:proton}
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\end{figure}% >>>
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\end{figure}% >>>
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@ -211,7 +210,7 @@ Since the beacon can be recorded for much longer than the air shower signal, we
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The remaining waveform is fed into a \gls{DTFT} \eqref{eq:fourier:dtft} to measure the beacon's phase $\pMeas$ and amplitude.
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The remaining waveform is fed into a \gls{DTFT} \eqref{eq:fourier:dtft} to measure the beacon's phase $\pMeas$ and amplitude.
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Note that due to explicitly including a time axis in a \gls{DTFT}, a number of samples can be omitted without introducing artifacts.
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Note that due to explicitly including a time axis in a \gls{DTFT}, a number of samples can be omitted without introducing artifacts.
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\\
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\\
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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?}
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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.
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\\
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\\
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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.
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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.
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\\
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\\
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@ -284,7 +283,7 @@ Afterwards, a new grid zooms in on the power maximum and the process is repeated
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\begin{subfigure}[t]{0.45\textwidth}
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\begin{subfigure}[t]{0.45\textwidth}
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\includegraphics[width=\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.reconstruction.run0.power.pdf}
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\includegraphics[width=\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.reconstruction.run0.power.pdf}
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\caption{
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\caption{
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Power measurement with the $k$s belonging to the overall maximum of the amplitude maxima.
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Power measurement with the $k$'s belonging to the overall maximum of the amplitude maxima.
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}
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}
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\label{fig:findks:reconstruction}
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\label{fig:findks:reconstruction}
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\end{subfigure}
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\end{subfigure}
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@ -308,7 +307,7 @@ Afterwards, a new grid zooms in on the power maximum and the process is repeated
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\begin{subfigure}[t]{0.45\textwidth}
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\begin{subfigure}[t]{0.45\textwidth}
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\includegraphics[width=\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.maxima.run2.pdf}
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\includegraphics[width=\textwidth]{ZH_simulation/findks/ca_period_from_shower.py.maxima.run2.pdf}
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\caption{
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\caption{
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Final test grid obtaining the same $k$ as Figure~\ref{fig:findks:maxima:zoomed}.
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Final test grid obtaining the same $k$'s as Figure~\ref{fig:findks:maxima:zoomed}.
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}
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}
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\label{fig:findks:maxima:zoomed2}
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\label{fig:findks:maxima:zoomed2}
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\end{subfigure}
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\end{subfigure}
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@ -476,7 +475,6 @@ Additionally, since the true period shifts are static per event, evaluating the
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their effect on (\textit{right}) the alignment of the waveforms at the true axis
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their effect on (\textit{right}) the alignment of the waveforms at the true axis
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and (\textit{left}) the interferometric power near the simulation axis (red plus).
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and (\textit{left}) the interferometric power near the simulation axis (red plus).
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The maximum power is indicated by the blue cross.
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The maximum power is indicated by the blue cross.
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% \protect\Todo{x-axis relative to reference waveform, remove titles, no SNR}
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}
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}
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\label{fig:grid_power_time_fixes}
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\label{fig:grid_power_time_fixes}
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\end{figure}%>>>
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\end{figure}%>>>
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figures/grand/split-cable/sine-sweep/ch2ch4fig8-histogram.50.pdf
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