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# Xpol : a Power Spectrum estimator based on cross correlation between maps.
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# Xpol
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### a Power Spectrum estimator based on cross correlation between maps.
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*Xpol* is a method to estimate the polarized angular power spectra C<sub>l</sub>s by computing the cross-power spectra between a collection of input maps coming either from multiple detectors of the same experiment or from different instruments. The `pseudo' cross-power spectra are explicitly corrected for incomplete sky coverage, beam smoothing, filtering and pixelization. Assuming no correlation between the noise contribution from two different maps, each of the corrected cross-power spectra is an unbiased estimate of the C<sub>l</sub>s. Analytical error bars are derived for each of them. The cross-power spectra, that do not include the classical ''auto''-power spectra, are then combined using a Gaussian approximation of the likelihood function. This result can be compared to the auto-spectra for which the noise bias in multipole domain is requested as input.
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