True CMB Power Spectrum Estimation

Paniez Paykari

June 11, 2012

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Abstract: THaving access to only one sky, the CMB power spectrum measured by our experiments is only a realization of the true underlying angular power spectrum. We aim to recover the true underlying power spectrum from the one realization we have without a need to know the cosmological parameters; the CMB spectrum is very sparse in two dictionaries; Discrete Cosine Transform (DCT) and Wavelet Transform (WT). Using the two dictionaries, we develop a technique that estimates the true underlying CMB power spectrum from data alone. The developed IDL code, TOUSI, for Theoretical pOwer spectrUm using Sparse estImation, will be released with the next version of ISAP (Interactive Sparse astronomical data Analysis Packages) http://jstarck.free.fr/isap.html.