A linear filter to reconstruct the ISW effect from CMB and LSS observations
arXiv:0809.2557 · doi:10.1109/JSTSP.2008.2005350
Abstract
The extraction of a signal from some observational data sets that contain different contaminant emissions, often at a greater level than the signal itself, is a common problem in Astrophysics and Cosmology. The signal can be recovered, for instance, using a simple Wiener filter. However, in certain cases, additional information may also be available, such as a second observation which correlates to a certain level with the sought signal. In order to improve the quality of the reconstruction, it would be useful to include as well this additional information. Under these circumstances, we have constructed a linear filter, the linear covariance-based filter, that extracts the signal from the data but takes also into account the correlation with the second observation. To illustrate the performance of the method, we present a simple application to reconstruct the so-called Integrated Sachs-Wolfe effect from simulated observations of the Cosmic Microwave Background and of catalogues of galaxies.
8 pages, 6 figures, accepted for publication in the IEEE Journal of Selected Topics in Signal Processing
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- A Map of the Integrated Sachs-Wolfe Signal from Luminous Red Galaxies
- Revisiting the WMAP - NVSS angular cross correlation. A skeptic's view
- Mapping the Integrated Sachs-Wolfe Effect
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- Hemispherical Power Asymmetry in intensity and polarization for Planck PR4 data
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