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Unbiased estimation of an angular power spectrum

Polenta, G. and Marinucci, D. and Balbi, A. and de Bernardis, P. and Hivon, E. and Masi, S. and Natoli, P. and Vittorio, N. (2005) Unbiased estimation of an angular power spectrum. Journal of Cosmology and Astroparticle Physics, 2005 (11). Art. No. 001. ISSN 1475-7516. http://resolver.caltech.edu/CaltechAUTHORS:POLjcap05

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Abstract

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-Cℓ estimates. We derive the analytic behaviour 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.


Item Type:Article
Additional Information:© 2005 IOP Publishing Ltd Received 22 November 2004, accepted for publication 11 October 2005. Published 1 November 2005 The authors would like to thank G De Gasperis for providing realistic temperature and polarization simulated maps and F K Hansen, P Cabella, G De Troia, F Piacentini and K Ganga for useful discussions. We acknowledge the use of the MASTER, HEALPix, CMBFAST, and FFTW packages. This research was supported by MURST, ASI, PNRA.
Subject Keywords:CMBR experiments, CMBR theory
Record Number:CaltechAUTHORS:POLjcap05
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:POLjcap05
Alternative URL:http://dx.doi.org/10.1088/1475-7516/2005/11/001
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5034
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:22 Sep 2006
Last Modified:26 Dec 2012 09:03

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