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Ewan D. Barr edited scattering part5.tex
over 8 years ago
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Given that the scattering time grows with $\nu^4$ while dispersion delay grows as $\nu^2$ the limiting DMs calculated above define the maximum delay that must ever be handled within the SKA1 pulsar timing instruments. Above the limiting DMs we suggest that the data be downsampled such that the scattering time is always less than the effective sampling time. If downsampling is applied, the limiting DM delay defines the maximum size of Fast Fourier Transform required to be supported by the instrument and thus the required FLOPS for the instrument (under the argument that downsampling by 2 reduces the required FLOPS by a factor of $1-1/\log_2(n)$).
Figure \ref{fig:fft_size} shows the maximum FFT size that is required to be supported by the SKA1 pulsar timing instruments as a function of observing frequency.