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Ewan D. Barr added PeriodLimir.tex
over 8 years ago
Commit id: 4e5d2ee258cc8c4bb2e950f03adc4cd7ef03a96f
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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 the SKA:
\begin{equation}
\label{eqn:limiting_dm_p}
t_{\rm res}(P_0) = \max \left(200\ {\rm ns}, \frac{P_0}{\max (n_{\rm bins},2048)} \right).
\end{equation}
Here shorter periods mean larger computational and memory costs, but also lower maximum DMs due to the effect of scattering. As we move to higher periods, the computational and memory cost drop significantly and the maximum DM rises.
