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Ewan D. Barr edited RAMreq.tex
over 8 years ago
Commit id: bc34535ae5ded41e059cb9bfa104515b84bfe371
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Counterintuitively the computational cost here increases with increasing frequency despite the smaller FFTs required. This is purely due to the larger absolute bandwidths of the higher frequency bands of SKA1. By re-writing $t_{\rm res}$ in equation \ref{eqn:limiting_dm} in terms of spin period ($P_0$) based on our suggested rewording of requirements 2961 and 2962, we can use equation \ref{eqn:limiting_dm} to now determine the maximum DM that must ever be supported for high precision timing:
\begin{equation}
\label{eqn:limiting_dm_p}
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Here shorter periods mean larger computational and memory costs, but also lower maximum DMs due to the effect of scattering. As we move to higher periods, the computational and memory cost drop significantly and the maximum DM rises.