The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Joint Bayesian Component Separation and CMB Power Spectrum Estimation
Open accessAbstract
We 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° FWHM. The results from the actual 3 yr WMAP temperature analysis are presented in a companion Letter.
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Cites
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
Spergel, D. N., Bean, R., Dore, O., Nolta, M. R., Bennett, C. L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513700 · Cited by 6,778
Sampling-based approaches to calculating marginal densities
Gelfand, A. E., & Smith, A. F. M. (1990) · Journal of the American Statistical Association · doi:10.1080/01621459.1990.10476213 · Cited by 6,606
Bennett, C. L., Halpern, M., Hinshaw, G., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., Page, L., Spergel, D. N., Tucker, G. S., et al. (2003) · The Astrophysical Journal Supplement Series · doi:10.1086/377253 · Cited by 4,860
Cosmological parameters from CMB and other data: A Monte Carlo approach
Lewis, A., & Bridle, S. (2002) · Physical Review D · doi:10.1103/physrevd.66.103511 · Cited by 3,495
Cited by
Planck 2018 results: V. CMB power spectra and likelihoods
Planck Collaboration, Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., et al. (2020) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201936386 · Cited by 1,197
Self-citationPlanck intermediate results: LVII. Joint Planck LFI and HFI data processing
Planck Collaboration, Akrami, Y., Andersen, K. J., Ashdown, M., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., Basak, S., et al. (2020) · Astronomy & Astrophysics · doi:10.1051/0004-6361/202038073 · Cited by 303
Self-citationPlanck 2015 results: IX. Diffuse component separation: CMB maps
Planck Collaboration, Adam, R., Ade, P. A. R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A. J., Barreiro, R. B., et al. (2016) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201525936 · Cited by 273
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Metadata
- Authors
- Eriksen, H. K., Jewell, J. B., Dickinson, C., Banday, A. J., Górski, K. M., & Lawrence, C. R.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2008-03-20
- Volume
- 676
- Issue
- 1
- Pages
- 10-32
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2130410830
- Cited by
- 305
- References
- 4
- FWCI
- 6.09
- Type
- journal article
- Language
- en
- Open access
- bronze
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