Astronomy and Astrophysics – Astrophysics
Scientific paper
1999-06-23
Astronomy and Astrophysics
Astrophysics
latex file 9 pages + 5 postscript figures + 1 gif figure (figure 6), to be published in MNRAS
Scientific paper
10.1046/j.1365-8711.1999.02897.x
Analysis and denoising of Cosmic Microwave Background (CMB) maps are performed using wavelet multiresolution techniques. The method is tested on $12^{\circ}.8\times 12^{\circ}.8$ maps with resolution resembling the experimental one expected for future high resolution space observations. Semianalytic formulae of the variance of wavelet coefficients are given for the Haar and Mexican Hat wavelet bases. Results are presented for the standard Cold Dark Matter (CDM) model. Denoising of simulated maps is carried out by removal of wavelet coefficients dominated by instrumental noise. CMB maps with a signal-to-noise, $S/N \sim 1$, are denoised with an error improvement factor between 3 and 5. Moreover we have also tested how well the CMB temperature power spectrum is recovered after denoising. We are able to reconstruct the $C_{\ell}$'s up to $l\sim 1500$ with errors always below $20% $ in cases with $S/N \ge 1$.
Argüeso Francisco
Barreiro Belen R.
Cayón Laura
Luis Sanz José
Martinez-Gonzalez Enrique
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