Ewan D. Barr edited scattering part2.tex  over 8 years ago

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\begin{equation}  \log \tau_s = -6.46 + 0.154 \log{\rm DM} + 1.07 (\log{\rm DM})^2 - 3.86 \log{\nu}.  \end{equation}  where $\tau_s$ is the scattering time in ms and $\nu$ is the observing frequency in GHz. The scatter of measured values about this relation ship has a standard deviation of several orders of magnitude. In the remainder of this document we take a conservative approach and assume scattering times 4 orders of magnitude smaller than those suggested by the above relation. As we will see, this approach results in reasonable requirements on the SKA1 pulsar timing instrumentation that should not incur costs in the form of instrument redesigns.