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Type:
Abstract
Title:
Determining Cosmic Microwave Background Structure from Its Peak Distribution
Authors:
Kashlinsky, A.; Hernández-Monteagudo, C.; Atrio-Barandela, F.
Affiliation:
AA(Raytheon ITSS, Goddard Space Flight Center, Code 685, Greenbelt, MD 20771; kashlinsky@stars.gsfc.nasa.gov), AB(Física Teórica, Facultad de Ciencias, Universidad de Salamanca, 37008 Salamanca, Spain; chm@orion.usal.es, atrio@orion.usal.es), AC(Física Teórica, Facultad de Ciencias, Universidad de Salamanca, 37008 Salamanca, Spain; chm@orion.usal.es, atrio@orion.usal.es)
Journal:
The Astrophysical Journal, Volume 557, Issue 1, pp. L1-L5. (ApJ Homepage)
Publication Date:
08/2001
Origin:
UCP
Aabstract Copyright:
(c) 2001: The American Astronomical Society
Bibliographic Code:
2001ApJ...557L...1K
Doc-summary/Abstract:
We present a new method for time-efficient and accurate extraction of the power spectrum from future cosmic microwave background (CMB) maps based on properties of peaks and troughs of the Gaussian CMB sky. We construct a statistic describing their angular clustering analogously to galaxies, the two-point angular correlation function, îí(&thetas;). We show that for increasing peak threshold í, îí(&thetas;) is strongly amplified and becomes measurable for í>~1 on angular scales <=10°. Its amplitude at every scale depends uniquely on the CMB temperature correlation function, C(&thetas;), and thus the measured îí can be uniquely inverted to obtain C(&thetas;) and its Legendre transform, the power spectrum of the CMB field. Because in this method the CMB power spectrum is deduced from high peaks/troughs of the CMB field, the procedure takes only [f(í)]2N2 operations, where f(í) is the fraction of pixels with |äT|>=í standard deviations in the map of N pixels and is, e.g., 0.045 and 0.01 for í=2 and 2.5, respectively. We develop theoretical formalism for the method and show with detailed simulations, using the Microwave Anisotropy Probe mission parameters, that this method allows us to determine very accurately the CMB power spectrum from the upcoming CMB maps in only ~(10-4 to 10-3) N2 operations.
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