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Ewan D. Barr edited RAMreq.tex
over 8 years ago
Commit id: a38d09c8ade0182084c99a79bd923588dbcf1bc8
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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, we can easily show that the cost
\begin{equation}
\label{eqn:limiting_dm} \label{eqn:limiting_dm_p}
\log_{10}{\rm DM_{\rm limit}}(\nu,P_0) = \frac{1}{2.14}(-0.154 + \sqrt{0.0247 + 4.28(13.46+3.86\log_{10}{\nu}+\log_{10}{ \max{200\ {\rm ns}, P_0/2048} })}.
\end{equation}