Published November 1, 2005
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Journal Article
Open
Unbiased estimation of an angular power spectrum
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.
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.Files
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Additional details
- Eprint ID
- 5034
- Resolver ID
- CaltechAUTHORS:POLjcap05
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2006-09-22Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field