Reconstructing simulated CMB polarization power spectra with the
  Analytical Blind Separation method
  Multi-frequency observations are needed to separate the CMB from foregrounds
and accurately extract cosmological information from the data. The Analytical
Blind Separation (ABS) method is dedicated to extracting the CMB power spectrum
from multi-frequency observations in the presence of contamination from
astrophysical foreground emission and instrumental noise. In this study, we
apply the ABS method to simulated sky maps as could be observed with a future
space-borne survey, in order to test the method's capability for determining
the CMB polarization $E$- and $B$-mode power spectra. We present the ABS method
performance on simulations for both a full-sky analysis and for an analysis
concentrating on sky regions less impacted by Galactic foreground emission. We
discuss the origin and minimization of biases in the estimated CMB polarization
angular power spectra. We find that the ABS method performs quite well for the
analysis of full-sky observations at intermediate and small angular scales, in
spite of strong foreground contamination. On the largest scales, extra work is
still required to reduce biases of various origins and the impact of confusion
between CMB $E$ and $B$ polarization for partial-sky analyses.
