Ewan D. Barr edited PeriodLimir.tex  over 8 years ago

Commit id: efcd7c2b9b321ca1ce29e0406e2dec288cd8f0ab

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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).