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Thesis: removing invalid Todos

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Eric Teunis de Boone 2023-11-14 16:45:35 +01:00
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2 changed files with 3 additions and 11 deletions
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6
documents/thesis/chapters/grand_characterisation.tex
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@ -38,18 +38,16 @@ This chapter starts an investigation into these systematic delays within \gls{GR
% ADC % ADC
At the base of every single antenna, a \gls{DU} is mounted. At the base of every single antenna, a \gls{DU} is mounted.
%The \gls{DU} (see Figure~\ref{fig:grand_du}), at the base of every single antenna, is the workhorse of \gls{GRAND}.\Todo{rephrase}
Its protective encasing has three inputs to which the different polarisations of the antenna are connected. Its protective encasing has three inputs to which the different polarisations of the antenna are connected.
These inputs are connected to their respective filterchains, leaving a fourth filterchain as spare. These inputs are connected to their respective filterchains, leaving a fourth filterchain as spare.
Each filterchain bandpasses the signal between $30\MHz$ and $200\MHz$. Each filterchain bandpasses the signal between $30\MHz$ and $200\MHz$.
Finally, the signals are digitised by a four channel 14-bit \gls{ADC} sampling at $500\MHz$. Finally, the signals are digitised by a four channel 14-bit \gls{ADC} sampling at $500\MHz$.
%The input voltage ranges from $-900\mV$ to $+900\mV$. %The input voltage ranges from $-900\mV$ to $+900\mV$.
In our setup, the channels are read out after one of two internal ``monitoring'' triggers fire. In our setup, the channels are read out after one of two internal ``monitoring'' triggers fire with the ten-second trigger (TD) linked to the \gls{1PPS} of the \gls{GNSS} chip and the other (MD) a variable randomising trigger.
%The ten-second trigger (TD) is linked to the \gls{1PPS} of the \gls{GNSS} chip.
\\ \\
% timestamp = GPS + local oscillator % timestamp = GPS + local oscillator
%The \gls{DU} timestamps an event using a combination of the 1\gls{PPS} of a Trimble ICM 360 \gls{GNSS} chip\Todo{ref?} and counting the local oscillator running at $500\MHz$. %The \gls{DU} timestamps an event using a combination of the 1\gls{PPS} of a Trimble ICM 360 \gls{GNSS} chip and counting the local oscillator running at $500\MHz$.
%At trigger time, the counter value is stored to obtain a timing accuracy of roughly $2\ns$. %At trigger time, the counter value is stored to obtain a timing accuracy of roughly $2\ns$.
%The counter is also used to correct for fluctuating intervals of the 1\gls{PPS} by storing and resetting it at each incoming 1\gls{PPS}. %The counter is also used to correct for fluctuating intervals of the 1\gls{PPS} by storing and resetting it at each incoming 1\gls{PPS}.

8
documents/thesis/chapters/single_sine_interferometry.tex
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@ -77,7 +77,6 @@ Note that the period mismatch term $\Delta k_{ij}$ in \eqref{eq:synchro_mismatch
% \includegraphics[width=\textwidth]{beacon/08_beacon_sync_synchronised_period_alignment.pdf} % \includegraphics[width=\textwidth]{beacon/08_beacon_sync_synchronised_period_alignment.pdf}
% \caption{ % \caption{
% Lifting period degeneracy ($k=n-m=7$ periods) using the optimal overlap between impulsive signals. % Lifting period degeneracy ($k=n-m=7$ periods) using the optimal overlap between impulsive signals.
% \protect\Todo{note misaligned overlap due to different locations}
% } % }
% \label{fig:beacon_sync:period_alignment} % \label{fig:beacon_sync:period_alignment}
% \end{subfigure} % \end{subfigure}
@ -91,10 +90,6 @@ Note that the period mismatch term $\Delta k_{ij}$ in \eqref{eq:synchro_mismatch
% \subref{fig:beacon_sync:period_alignment}: Expecting the impulsive signals to come from the same source, the overlap between the two impulsive signals is used to lift the period degeneracy ($k=n-m$). % \subref{fig:beacon_sync:period_alignment}: Expecting the impulsive signals to come from the same source, the overlap between the two impulsive signals is used to lift the period degeneracy ($k=n-m$).
% } % }
% \label{fig:beacon_sync:sine} % \label{fig:beacon_sync:sine}
% \protect\Todo{
% Redo figure without xticks and spines,
% rename $\Delta \tClockPhase$
% }
\end{figure}%>>> \end{figure}%>>>
% Same transmitter / Static setup % Same transmitter / Static setup
@ -253,7 +248,6 @@ At each location, after removing propagation delays, each waveform and the refer
\footnote{%<<< \footnote{%<<<
Note that one could use a correlation method instead of a maximum to select the best time delay. Note that one could use a correlation method instead of a maximum to select the best time delay.
However, for simplicity and ease of computation, this has not been implemented. However, for simplicity and ease of computation, this has not been implemented.
%\Todo{incomplete p}
%As shown in Figure~\ref{fig:single:annotated_full_waveform}, the air shower signal has a length in the order of a few nanoseconds. %As shown in Figure~\ref{fig:single:annotated_full_waveform}, the air shower signal has a length in the order of a few nanoseconds.
%Since it is this peak that is of interest, it would have been possible to cut the waveforms such to only correlate the peaks. %Since it is this peak that is of interest, it would have been possible to cut the waveforms such to only correlate the peaks.
} %>>> } %>>>
@ -346,7 +340,7 @@ The restriction of the possible delays is therefore important to limit the numbe
\\ \\
% fall in local extremum, maximum % fall in local extremum, maximum
In this analysis, the initial grid is defined as $8^\circ$ wide around the true axis.\Todo{why?} In this analysis, the initial grid is defined as $8^\circ$ wide around the true axis.
As the number of computations scales linearly with the number of grid points ($N = N_x N_y$), it is favourable to minimise the number of grid locations. As the number of computations scales linearly with the number of grid points ($N = N_x N_y$), it is favourable to minimise the number of grid locations.
Unfortunately, the above process has been observed to fall into local maxima when a too coarse initial grid ($N_x < 13$ at $X=400\,\mathrm{g/cm^2}$) was used while restricting the time delays to $\left| k \right| \leq 3$. Unfortunately, the above process has been observed to fall into local maxima when a too coarse initial grid ($N_x < 13$ at $X=400\,\mathrm{g/cm^2}$) was used while restricting the time delays to $\left| k \right| \leq 3$.
\\ \\