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Angular Power Spectrum of the Cosmic Microwave Background Anisotropy Seen by the [ITAL]COBE[/ITAL] DMR
Author(s) -
E. L. Wright,
C. L. Bennett,
K. M. Górski,
G. Hinshaw,
G. F. Smoot
Publication year - 1996
Publication title -
the astrophysical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.376
H-Index - 489
eISSN - 1538-4357
pISSN - 0004-637X
DOI - 10.1086/310073
Subject(s) - spectral density , cosmic microwave background , spectral index , anisotropy , physics , amplitude , spectral line , noise (video) , estimator , astrophysics , sky , computational physics , range (aeronautics) , optics , statistics , astronomy , mathematics , materials science , composite material , artificial intelligence , computer science , image (mathematics)
The angular power spectrum estimator developed by Peebles (1973) and Hauser &Peebles (1973) has been modified and applied to the 4 year maps produced by theCOBE DMR. The power spectrum of the observed sky has been compared to the powerspectra of a large number of simulated random skies produced with noise equalto the observed noise and primordial density fluctuation power spectra of powerlaw form, with $P(k) \propto k^n$. The best fitting value of the spectral indexin the range of spatial scales corresponding to spherical harmonic indices $3\leq \ell \lesssim 30$ is an apparent spectral index $n_{app}$ = 1.13 (+0.3)(-0.4) which is consistent with the Harrison-Zel'dovich primordial spectralindex $n_{pri} = 1$ The best fitting amplitude for $n_{app} = 1$ is $\langleQ_{RMS}^2\rangle^{0.5}$ = 18 uK.Comment: 17 pages including 3 PostScript figures. Submitted to The Astrophysical Journal (Letters

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