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Harmonic analysis of cosmic microwave background data II: from ring-sets to the sky
Anthony D. Challinor, Daniel J. Mortlock, Floor van Leeuwen +4
Despite the fact that the physics of the cosmic microwave background anisotropies is most naturally expressed in Fourier space, pixelised maps are almost always used in the analysi…
Harmonic analysis of cosmic microwave background data I: ring reductions and point-source catalogue
Floor van Leeuwen, Anthony D. Challinor, Daniel J. Mortlock +7
We present a harmonic model for the data analysis of an all-sky cosmic microwave background survey, such as Planck, where the survey is obtained through ring-scans of the sky. In t…
Analytic marginalization over CMB calibration and beam uncertainty
S. L. Bridle, R. Crittenden, A. Melchiorri +3
With the increased accuracy and angular scale coverage of the recent CMB experiments it has become important to include calibration and beam uncertainties when estimating cosmologi…
Combining maximum-entropy and the mexican hat wavelet to reconstruct the microwave sky
P. Vielva, R. B. Barreiro, M. P. Hobson +4
We present a maximum-entropy method (MEM) and `Mexican Hat' wavelet (MHW) joint analysis to recover the different components of the microwave sky from simulated observations by the…
All-sky component separation for the Planck mission
V. Stolyarov, M. P. Hobson, M. A. J. Ashdown +1
An harmonic-space maximum-entropy method (MEM) is presented for separating the emission from different physical components in all-sky observations by the forthcoming Planck satelli…
Regularization and Inverse Problems
A. N. Lasenby, R. B. Barreiro, M. P. Hobson
An overview is given of Bayesian inversion and regularization procedures. In particular, the conceptual basis of the maximum entropy method (MEM) is discussed, and extensions to po…