Joint Bayesian Component Separation And Cmb Power Spectrum Estimation

Statistics – Computation

Scientific paper

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Scientific paper

We have implemented an exact, flexible, and computationally efficient algorithm for joint component separation and CMB power spectrum estimation, building on a Gibbs framework. Given a parametric model of the foreground signals, we obtain the exact joint foreground-CMB posterior distribution, and therefore all marginal distributions such as the CMB power spectrum or foreground spectral index posteriors. We have extensively verified the code using simulations for both WMAP-like and Planck-like data. We present results of the actual 3-year WMAP temperature data, verifying the WMAP power spectrum up to l=50. The method is likely to be optimal for Planck data up to l 200.

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