PureB by Messenger Method

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Michael Ray, 2019-09-xx


Dr. Bischoff and myself have been working on a new approach to a pure-B estimator for CMB polarization data. The method was originally proposed in 2012 (Elsner & Wandelt 2012) and has been dubbed the "messenger method" approach to weiner filtering. To make a pure-B weiner filter, we represent the noise covariance matrix as the noise covariance plus the E component of the signal covariance (Bunn & Wandelt 2017), so that the filter treats any E modes as noise. This means the weiner filter equation becomes: