Wiener filtering and pure E/B decomposition of CMB maps with anisotropic
  correlated noise
  We present an augmented version of our dual messenger algorithm for spin
field reconstruction on the sphere, while accounting for highly non-trivial and
realistic noise models such as modulated correlated noise. We also describe an
optimization method for the estimation of noise covariance from Monte Carlo
simulations. Using simulated Planck polarized cosmic microwave background (CMB)
maps as a showcase, we demonstrate the capabilities of the algorithm in
reconstructing pure E and B maps, guaranteed to be free from ambiguous modes
resulting from the leakage or coupling issue that plagues conventional methods
of E/B separation. Due to its high speed execution, coupled with lenient memory
requirements, the algorithm can be optimized in exact global Bayesian analyses
of state-of-the-art CMB data for a statistically optimal separation of pure E
and B modes. Our algorithm, therefore, has a potentially key role in the data
analysis of high-resolution and high-sensitivity CMB data, especially with the
range of upcoming CMB experiments tailored for the detection of the elusive
primordial B-mode signal.
