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Joint Bayesian Component Separation and CMB Power Spectrum EstimationWe describe and implement an exact, flexible, and computationally efficient algorithm for joint component separation and CMB power spectrum estimation, building on a Gibbs sampling framework. Two essential new features are (1) conditional sampling of foreground spectral parameters and (2) joint sampling of all amplitude-type degrees of freedom (e.g., CMB, foreground pixel amplitudes, and global template amplitudes) given spectral parameters. Given a parametric model of the foreground signals, we estimate efficiently and accurately the exact joint foreground- CMB posterior distribution and, therefore, all marginal distributions such as the CMB power spectrum or foreground spectral index posteriors. The main limitation of the current implementation is the requirement of identical beam responses at all frequencies, which restricts the analysis to the lowest resolution of a given experiment. We outline a future generalization to multiresolution observations. To verify the method, we analyze simple models and compare the results to analytical predictions. We then analyze a realistic simulation with properties similar to the 3 yr WMAP data, downgraded to a common resolution of 3 deg FWHM. The results from the actual 3 yr WMAP temperature analysis are presented in a companion Letter.
Document ID
20080032377
Acquisition Source
Jet Propulsion Laboratory
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Eriksen, H. K.
(Oslo Univ. Norway)
Jewell, J. B.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Dickinson, C.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Banday, A. J.
(Max-Planck-Inst. fuer Astrophysik Garching, Germany)
Gorski, K. M.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Lawrence, C. R.
(Jet Propulsion Lab., California Inst. of Tech. Pasadena, CA, United States)
Date Acquired
August 24, 2013
Publication Date
March 20, 2008
Publication Information
Publication: The Astrophysical Journal
Publisher: American Astronomical Society
Volume: 676
Subject Category
Mathematical And Computer Sciences (General)
Distribution Limits
Public
Copyright
Other
Keywords
numerical
observations
cosmic microwave background

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