PReBeaM for Planck: A Polarized Regularized Beam Deconvolution Map-Making Method

Abstract

We describe a maximum likelihood regularized beam deconvolution map-making algorithm for data from high resolution, polarization sensitive instruments, such as the Planck data set. The resulting algorithm, which we call PReBeaM, is pixel-free and solves for the map directly in spherical harmonic space, avoiding pixelization artifacts. While Fourier methods like ours are expected to work best when applied to smooth, large-scale asymmetric beam systematics (such as far-side lobe effects) we show that our m-truncated spherical harmonic representation of the beam results in negligible reconstruction error -- even for m as small as 4 for a polarized elliptically asymmetric beam. We describe a hybrid OpenMP/MPI parallelization scheme which allows us to store and manipulate the time-ordered data from instruments with arbitrary scanning strategy. Finally, we apply our technique to noisy data and show that it succeeds in removing visible power spectrum artifacts without generating excess noise on small scales.

12 pages, 8 figures, submitted to ApJS. Full paper with high resolution figures is available at http://www.astro.uiuc.edu/~carmitag/prebeam/

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Cited by in corpus (13)

• Planck Early Results XVIII: The power spectrum of cosmic infrared background anisotropies
• Planck early results. VI. The High Frequency Instrument data processing
• Planck 2013 results. VII. HFI time response and beams
• Fast Pixel Space Convolution for CMB Surveys with Asymmetric Beams and Complex Scan Strategies: FEBeCoP
• QuickPol: Fast calculation of effective beam matrices for CMB polarization
• Properties and use of CMB power spectrum likelihoods
• ArtDeco: A beam deconvolution code for absolute CMB measurements
• Residual noise covariance for Planck low-resolution data analysis
• Full-sky beam convolution for cosmic microwave background applications
• Cosmic Microwave Background Mapmaking with a Messenger Field
• The impact of beam deconvolution on noise properties in CMB measurements: Application to Planck LFI
• SRoll3: A neural network approach to reduce large-scale systematic effects in the Planck High Frequency Instrument maps
• Application of beam deconvolution technique to power spectrum estimation for CMB measurements