Celebratio Mathematica — Daubechies

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E. Pierpaoli, S. Anthoine, K. Huffenberger, and I. Daubechies: “Reconstructing Sunyaev–Zel’dovich clusters in future cosmic microwave background experiments,” Mon. Not. R. Astron. Soc. 359 : 1 (May 2005), pp. 261–271. ArXiv astro-ph/0412197 article

We present a new method for component separation aimed at extracting Sunyaev–Zel’dovich (SZ) galaxy clusters from multifrequency maps of cosmic microwave background (CMB) experiments. This method is designed to recover non-Gaussian, spatially localized and sparse signals. We first characterize the cluster non-Gaussianity by studying it on simulated SZ maps. We then apply our estimator on simulated observations of the Planck and Atacama Cosmology Telescope (ACT) experiments. The method presented here outperforms multifrequency Wiener filtering, both in the reconstructed average intensity for given input and in the associated error. In the absence of point source contamination, this technique reconstructs the ACT (Planck) bright (big) cluster central \( y \) parameter with an intensity that is about 84 (43) per cent of the original input value. The associated error in the reconstruction is about 12 and 27 per cent for the 50 (12) ACT (Planck) clusters considered. For ACT, the error is dominated by beam smearing. In the Planck case, the error in the reconstruction is largely determined by the noise level: a noise reduction by a factor of 7 would imply almost perfect reconstruction and 10 per cent error for a large sample of clusters. We conclude that the selection function of Planck clusters will strongly depend on the noise properties in different sky regions, as well as the specific cluster extraction method assumed.

Elena Pierpaoli	Related
Kevin Huffenberger	Related
Sandrine Anthoine	Related