1999/06/23 by J. L. Sanz, F. Argüeso, F. Argueso +6 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Acoustics #Advanced Data Compression Techniques #Artificial intelligence #Astrophysics #COSMIC cancer database #Computer science #Cosmic background radiation #Cosmic microwave background #Cosmic variance #Discrete wavelet transform #Image and Signal Denoising Methods #Mathematical Analysis and Transform Methods #Mathematics #Multiresolution analysis #Noise (video) #Noise reduction #Optics #Physics #Spectral density #Statistics #Wavelet #Wavelet transform #astro-ph
paper · pdf · doi:10.1046/j.1365-8711.1999.02897.x
latex file 9 pages + 5 postscript figures + 1 gif figure (figure 6), to be published in MNRAS
arxiv created 1999/06/23 · openalex publication_date 1999/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Analysis and denoising of cosmic microwave background (CMB) maps are performed using wavelet multiresolution techniques. The method is tested on 12.8×12.8 deg2 maps, with the resolution resembling the experimental one expected for future high-resolution space observations. Semi-analytic 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 ratio, SN∼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 Cℓs up to l∼1500 with errors always below 20 per cent in cases with SN1.