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Ewan D. Barr deleted PeriodLimir.tex
over 8 years ago
Commit id: 9cde67855f11a8703b0d2cc31834d8e5c052f003
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By re-writing $t_{\rm res}$ in equation \ref{eqn:limiting_dm} in terms of spin period ($P_0$) and number of bins across the pulse profile ($n_{\rm bins}$), we can use equation \ref{eqn:limiting_dm} to now determine the maximum DM that must be supported for pulsar timing (specifically using coherent dedispersion) with SKA:
\begin{equation}
\label{eqn:limiting_dm_p}
t_{\rm res} = \max \left(t_{\rm max}, \frac{P_0}{\min (n_{\rm bins},2048)} \right).
\end{equation}
Here, $t_{\rm max}$ is the maximum effective time resolution as described by requirements 2961 and 2962 (200~ns and 2.5~$\mu$s for SKA1\_Mid and SKA1\_Low, respectively) and $n_{\rm bins}$ is user defined on a per-observation basis (although for practical reasons, such as compatibility with legacy software, this may be limited to a power of 2 in size).
Figure \ref{fig:limiting_dm_p} shows the scatter-limited DM for time resolutions between 200 ns and 10 ms for a range of SKA1 observing frequencies. Above the limiting DM it is no longer necessary for the SKA1 pulsar timing instrumentation to support coherent dedispersion.
diff --git a/layout.md b/layout.md
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figures/PulseSpectra/PulseSpectra.png
minres2.tex
Scattering times.tex
PeriodLimir.tex
figures/MaximumDMvsP6/MaximumDMvsP6.png
considerations.tex
figures/MaximumDMvsP7/MaximumDMvsP7.png