Mathematics – Logic
Scientific paper
May 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011aas...21822004d&link_type=abstract
American Astronomical Society, AAS Meeting #218, #220.04; Bulletin of the American Astronomical Society, Vol. 43, 2011
Mathematics
Logic
Scientific paper
While the highly redshifted 21 cm sky promises a vast well of information about the universe during and before reionization, tapping it will require powerful radio telescopes and a comprehensive method of eliminating foreground contaminants that dominate the cosmological signal. However, the sheer quantity of data expected will itself present an important algorithmic challenge to any foreground subtraction technique. We expand upon a combined scheme for power spectrum estimation and foreground cleaning recently adapted from CMB and galaxy surveys that is designed to retain all cosmological information. This technique nominally requires inverting the enormous matrix that encodes the correlations between foreground contributions to the measured 21 cm brightness temperatures at different positions and redshifts. In doing so, it takes advantage both of the strong correlations between the spectrally smooth foregrounds along the line of sight and of their clustering perpendicular to the line of sight. By exploiting the symmetries of radio foregrounds and the fast Fourier transform, we show that foreground subtraction, power spectrum estimation, and Fisher information can all be computed in O(NlogN), where N can be of the order of a million or bigger. This will enable future experiments to completely analyze very large datasets without loss of information. It also allows us to efficiently assess the precision with which current and future radio interferometers can measure the cosmological power spectrum and can serve to guide the optimal design of interferometers specially purposed for 21 cm cosmology.
Dillon Joshua S.
Liu Alex
Tegmark Max
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