  We present in this paper the PolEMICA (Polarized Expectation-Maximization
Independent Component Analysis) algorithm which is an extension to polarization
of the SMICA (Spectral Matching Independent Component Analysis) temperature
multi-detectors multi-components (MD-MC) component separation method
(Delabrouille et al. 2003). This algorithm allows us to estimate blindly in
harmonic space multiple physical components from multi-detectors polarized sky
maps. Assuming a linear noisy mixture of components we are able to reconstruct
jointly the anisotropies electromagnetic spectra of the components for each
mode T, E and B, as well as the temperature and polarization spatial power
spectra, TT, EE, BB, TE, TB and EB for each of the physical components and for
the noise on each of the detectors. PolEMICA is specially developed to estimate
the CMB temperature and polarization power spectra from sky observations
including both CMB and foreground emissions. This has been tested intensively
using as a first approach full sky simulations of the Planck satellite
polarized channels for a 14-months nominal mission assuming a simplified linear
sky model including CMB, and optionally Galactic synchrotron emission and a
Gaussian dust emission. Finally, we have applied our algorithm to more
realistic Planck full sky simulations, including synchrotron, realistic dust
and free-free emissions.
