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

Commit id: 3cf121649f00ec799b7f4209a642736eaa6b0abc

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\item \textbf{SKA1-SYS\_REQ-XXXX:} \textit{\bf SKA1\_Mid Pulsar Timing incoherent dedispersion DM limits.} The SKA1\_Mid when in pulsar timing mode shall time pulsars using incoherent dedispersion up to a dispersion measure defined by ${\rm DM} = t_{\rm res}(4.15\times10^3 ( \nu^{-2} - (\nu + \delta\nu)^{-2}) $ pc cm$^{-3}$ with a maximum ${\rm DM}$ of 100,000 pc cm$^{-3}$, where the frequency ($\nu$ MHz) is defined as the top of the current observing band, the channel bandwidth ($\delta\nu = 1/[t_{\rm res}\times10^6]$ MHz) is defined as the reciprocal time resolution of a channel and the time resolution ($t_{\rm res}$ seconds) is defined by SKA1-SYS\_REQ-2961.   \item \textbf{SKA1-SYS\_REQ-XXXX:} \textit{\bf SKA1\_Low Pulsar Timing incoherent dedispersion DM limits.} The SKA1\_Low when in pulsar timing mode shall time pulsars using incoherent dedispersion up to a dispersion measure defined by ${\rm DM} = t_{\rm res}(4.15\times10^3 ( \nu^{-2} - (\nu + \delta\nu)^{-2}) $ pc cm$^{-3}$ with a maximum ${\rm DM}$ of 100,000 pc cm$^{-3}$, where the frequency ($\nu$ MHz) is defined as the top of the current observing band,the channel bandwidth ($\delta\nu = 1/[t_{\rm res}\times10^6]$ MHz) is defined as the reciprocal time resolution of a channel and the  time resolution ($t_{\rm res}$ seconds) is defined by SKA1-SYS\_REQ-2962. SKA1-SYS\_REQ-2961 and the channel bandwidth ($\delta\nu$ MHz) is defined as $(t_{\rm res}\times10^6)^{-1}$.  \end{itemize}