Sparse inpainting and isotropy

作者：Feeney Stephen M^*; Marinucci Domenico; McEwen Jason D; Peiris Hiranya V; Wandelt Benjamin D; Cammarota Valentina

来源：Journal of Cosmology and Astroparticle Physics, 2014, 2014(1): 050.

DOI：10.1088/1475-7516/2014/01/050

• CMBR experiments
• non-gaussianity

Sparse inpainting techniques are gaining in popularity as a tool for cosmological data analysis, in particular for handling data which present masked regions and missing observations. We investigate here the relationship between sparse inpainting techniques using the spherical harmonic basis as a dictionary and the isotropy properties of cosmological maps, as for instance those arising from cosmic microwave background (CMB) experiments. In particular, we investigate the possibility that inpainted maps may exhibit anisotropies in the behaviour of higher-order angular polyspectra. We provide analytic computations and simulations of inpainted maps for a Gaussian isotropic model of CMB data, suggesting that the resulting angular trispectrum may exhibit small but non-negligible deviations from isotropy.

• 出版日期2014-1
• 单位中国科学院理论物理研究所