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Ewan D. Barr edited PeriodLimir.tex
over 8 years ago
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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
maximum scatter limited DM
as for time resolutions between 200 ns and 10 $\mu$s for a
function of pulsar spin period assuming the use range of
2048 phase bins and SKA1 observing frequencies. Above the
resolution limits laid down in requirements 2961 and 2962. We can consider this as limiting DM it is no longer necessary for the
resolution above which coherent dedispersion does not allow you SKA1 pulsar timing instrumentation to
achieve better resolution than would be available with incoherent dedispersion. By reducing $n_{\rm bins}$, the limits shown in Figure \ref{fig:limiting_dm_p} will increase accordingly. This allows for support coherent
dedispersion to be performed dedispersion. As seen below we advocate that for
faster pulsars at higher DMs by sacrificing time (and pulse phase) resolution. Above the DMs defined by equations \ref{eqn:limiting_dm} certain DM and
\ref{eqn:limiting_dm_p}, time resolution ranges it may be
preferable to perform the less computationally challenging incoherent dedispersion or to use modes which allow beneficial for the
recording of coarser resolution SKA1 timing instrumentation to support incoherent
filterbank data. dedispersion (see below).