Unbiased Estimation of an Angular Power Spectrum

Details Unbiased Estimation of an Angular Power Spectrum Unbiased Estimation of an Angular Power Spectrum

2004-02-18

arxiv.org/abs/astro-ph/0402428v2

JCAP 0511 (2005) 001

Astronomy and Astrophysics

Astrophysics

replaced with version published in JCAP. Added discussion about polarization measurements and 1/f noise correlated among diffe

Scientific paper

10.1088/1475-7516/2005/11/001

We discuss the derivation of the analytic properties of the cross-power spectrum estimator from multi-detector CMB anisotropy maps. The method is computationally convenient and it provides unbiased estimates under very broad assumptions. We also propose a new procedure for testing for the presence of residual bias due to inappropriate noise subtraction in pseudo-$C_{\ell}$ estimates. We derive the analytic behavior of this procedure under the null hypothesis, and use Monte Carlo simulations to investigate its efficiency properties, which appear very promising. For instance, for full sky maps with isotropic white noise, the test is able to identify an error of 1% on the noise amplitude estimate.

Affiliated with

Also associated with

No associations

Rating

Unbiased Estimation of an Angular Power Spectrum 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 Unbiased Estimation of an Angular Power Spectrum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unbiased Estimation of an Angular Power Spectrum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-180575