http://arxiv.org/abs/1807.02484
The Quadratic Maximum Likelihood estimator can be used to reconstruct the Cosmic Microwave Background (CMB) power spectra with minimal error bars. Still, it requires an accurate estimate of the datasets noise covariance matrix in order to be corrected for spurious bias. We propose an extension of this method to cross-correlation, thus removing noise bias and mitigating the impact of systematic effects, providing they are uncorrelated. Our estimator is tested on two simulation surveys at large and intermediate angular scales, respectively corresponding to satellite and ground-based CMB experiments. The analysis focuses on polarization maps, over a wide range of noise levels from 0.1 to 50 muK.arcmin. We show how this estimator minimizes the increase of variance due to polarization leakage between E and B modes. We compare our method with the pure pseudo-spectrum formalism which is computationally faster but less optimal, especially on large angular scales.
S. Vanneste, S. Henrot-Versillé, T. Louis, et. al.
Mon, 9 Jul 18
33/43
Comments: 12 pages, 11 figures. The code is available on GitLab at this https URL
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