Cosmic microwave background fluctuations as observed by COBE - Theoretical and experimental uncertainties

Statistics – Computation

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Anisotropy, Cosmic Background Explorer Satellite, Cosmology, Dark Matter, Relic Radiation, Signal To Noise Ratios, Angular Correlation, Computational Astrophysics, Universe

Scientific paper

We extend previous work on the statistics of observables describing the large-scale anisotropy of the cosmic microwave background (CMB). We focus on the two-point angular correlation function, on the low-order harmonic multipoles, and on differential measurements of the CMB anisotropy. Here we consider flat models, as cold dark matter, with adiabatic scale-invariant density fluctuations, as well as an open pure baryonic universe, with initially isocurvature fluctuations. We improve the theoretical discussion with a detailed treatment of the effect of the experimental noise. This allows us to develop a method to set statistically sound upper limits to the CMB anisotropy level as a function of the SNR. For a COBE-like experiment, with a pixel sensitivity of about 4 x 10 exp -5, one can set upper limits to the ensemble average quadrupole, correlation function at 12 deg, and differential anisotropy at 60 deg.

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