Astronomy and Astrophysics – Astrophysics – Cosmology and Extragalactic Astrophysics
Scientific paper
2009-03-13
Phys.Rev.D79:123515,2009
Astronomy and Astrophysics
Astrophysics
Cosmology and Extragalactic Astrophysics
31 pages, 24 figures, typos corrected on Eq. 32, Appendix C clarified, published in Physical Review D
Scientific paper
10.1103/PhysRevD.79.123515
We extend the pure pseudo-power-spectrum formalism proposed recently in the context of the Cosmic Microwave Background polarized power spectra estimation by Smith (2006) to incorporate cross-spectra computed for multiple maps of the same sky area. We present an implementation of such a technique, paying particular attention to a calculation of the relevant window functions and mixing (mode-coupling) matrices. We discuss the relevance and treatment of the residual $E/B$ leakage for a number of considered sky apodizations as well as compromises and assumptions involved in an optimization of the resulting power spectrum uncertainty. In particular, we investigate the importance of a pixelization scheme, patch geometry, and sky signal priors used in apodization optimization procedures. In addition, we also present results derived for more realistic sky scans as motivated by the proposed balloon borne experiment EBEX. We conclude that the presented formalism thanks to its speed and efficiency can provide an interesting alternative to the CMB polarized power spectra estimators based on the optimal methods at least on angular scales smaller than ~10 degrees. In this regime, we find that it is capable of suppressing the total variance of the estimated $B$-mode spectrum to within a factor of ~2 of the variance due to only the sampling and noise uncertainty of the B-modes alone, as derived from the Fisher matrix approach.
Grain Julien
Stompor Radek
Tristram Matthieu
No associations
LandOfFree
Polarized CMB power spectrum estimation using the pure pseudo-cross-spectrum approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Polarized CMB power spectrum estimation using the pure pseudo-cross-spectrum approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polarized CMB power spectrum estimation using the pure pseudo-cross-spectrum approach will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-228596