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Title:
CMB multipole measurements in the presence of foregrounds
Authors:
de Oliveira-Costa, Angélica; Tegmark, Max
Affiliation:
AA(MIT Kavli Institute for Astrophysics and Space Research, Cambridge, Massachusetts 02139, USA), AB(MIT Kavli Institute for Astrophysics and Space Research, Cambridge, Massachusetts 02139, USA)
Publication:
Physical Review D, vol. 74, Issue 2, id. 023005 (PhRvD Homepage)
Publication Date:
07/2006
Origin:
APS
PACS Keywords:
Background radiations
DOI:
10.1103/PhysRevD.74.023005
Bibliographic Code:
2006PhRvD..74b3005D

Abstract

Most analysis of cosmic microwave background spherical harmonic coefficients aℓm has focused on estimating the power spectrum Cℓ=⟨|aℓm|2⟩ rather than the coefficients themselves. We present a minimum-variance method for measuring aℓm given anisotropic noise, incomplete sky coverage and foreground contamination, and apply it to the Wilkinson Microwave Anisotropy Probe (WMAP) data. Our method is shown to constitute lossless data compression in the sense that the widely used quadratic estimators of the power spectrum Cℓ can be computed directly from our aℓm-estimators. As the Galactic cut is increased, the error bars Δaℓm on low multipoles go from being dominated by foregrounds to being dominated by leakage from other multipoles, with the intervening minimum defining the optimal cut. Applying our method to the WMAP quadrupole and octopole as an illustration, we investigate the robustness of the previously reported “axis of evil” alignment to Galactic cut and foreground contamination.
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