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.         

figures/PulseSpectra/PulseSpectra.png  minres2.tex  Scattering times.tex  PeriodLimir.tex  figures/MaximumDMvsP6/MaximumDMvsP6.png  considerations.tex  figures/MaximumDMvsP7/MaximumDMvsP7.png