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Estimation of Polarized Power Spectra by Gibbs Sampling

Larson, D. L. and Eriksen, H. K. and Wandelt, B. D. and Górski, K. M. and Huey, Greg and Jewell, J. B. and O'Dwyer, I. J. (2007) Estimation of Polarized Power Spectra by Gibbs Sampling. Astrophysical Journal, 656 (2). pp. 653-660. ISSN 0004-637X. doi:10.1086/509802.

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Earlier papers introduced a method of accurately estimating the angular cosmic microwave background temperature power spectrum based on Gibbs sampling. Here we extend this framework to polarized data. All advantages of the Gibbs sampler still apply, and exact analysis of megapixel polarized data sets is thus feasible. These advantages may be even more important for polarization measurements than for temperature measurements. While approximate methods can alias power from the larger E-mode spectrum into the weaker B-mode spectrum, the Gibbs sampler (or equivalently, exact likelihood evaluations) allows for a statistically optimal separation of these modes in terms of power spectra. To demonstrate the method, we analyze two simulated data sets: (1) a hypothetical future CMBPol mission, with the focus on B-mode estimation; and (2) a Planck-like mission, to highlight the computational feasibility of the method.

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Additional Information:© 2007 American Astronomical Society. Received 2006 July 31; accepted 2006 September 29. We thank Kendrick Smith, Graca Rocha, and Charles Lawrence for useful and interesting discussions. We acknowledge use of the HEALPix software (Go´rski et al. 2005) and analysis package for deriving the results in this paper. We acknowledge use of the Legacy Archive for Microwave Background Data Analysis (LAMBDA). This work was partially performed at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the National Aeronautics and Space Administration. H. K. E. acknowledges financial support from the Research Council of Norway. B. D. W. and D. L. L. acknowledge support through NSF grant AST 05-07676 and NASA JPL subcontract 1236748.
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Research Council of NorwayUNSPECIFIED
NSFAST 05-07676
Subject Keywords:cosmic microwave background; cosmology: observations; methods: numerical
Issue or Number:2
Record Number:CaltechAUTHORS:20100420-151511359
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Official Citation:D. L. Larson et al 2007 ApJ 656 653 doi: 10.1086/509802
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:18030
Deposited By: Jason Perez
Deposited On:21 Apr 2010 17:11
Last Modified:08 Nov 2021 23:40

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