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PRISM: Sparse recovery of the primordial spectrum from WMAP9 and Planck datasets

Published online by Cambridge University Press:  01 July 2015

P. Paykari ,
F. Lanusse ,
J.-L. Starck ,
F. Sureau  and
J. Bobin
P. Paykari
Affiliation:
Service d'Astrophysique, CEA Saclay, F-91191 Gif sur Yvette cedex, France. email: [email protected]
F. Lanusse
Affiliation:
Service d'Astrophysique, CEA Saclay, F-91191 Gif sur Yvette cedex, France. email: [email protected]
J.-L. Starck
Affiliation:
Service d'Astrophysique, CEA Saclay, F-91191 Gif sur Yvette cedex, France. email: [email protected]
F. Sureau
Affiliation:
Service d'Astrophysique, CEA Saclay, F-91191 Gif sur Yvette cedex, France. email: [email protected]
J. Bobin
Affiliation:
Service d'Astrophysique, CEA Saclay, F-91191 Gif sur Yvette cedex, France. email: [email protected]
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Abstract

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The primordial power spectrum is an indirect probe of inflation or other structure-formation mechanisms. We introduce a new method, named PRISM, to estimate this spectrum from the empirical cosmic microwave background (CMB) power spectrum. This is a sparsity-based inversion method, which leverages a sparsity prior on features in the primordial spectrum in a wavelet dictionary to regularise the inverse problem. This non-parametric approach is able to reconstruct the global shape as well as localised features of the primordial spectrum accurately and proves to be robust for detecting deviations from the currently favoured scale-invariant spectrum. We investigate the strength of this method on a set of WMAP nine-year simulated data for three types of primordial spectra and then process the WMAP nine-year data as well as the Planck PR1 data. We find no significant departures from a near scale-invariant spectrum.

Keywords

Cosmology: Primordial Power SpectrumMethods: Data AnalysisStatistical
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 10 , Symposium S306: Statistical Challenges in 21st Century Cosmology , May 2014 , pp. 60 - 63
Copyright
Copyright © International Astronomical Union 2015 

References

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