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We propose a new internal linear combination (ILC) method in the pixel space,applicable on large angular scales of the sky, to estimate a foregroundminimized Cosmic Microwave Background (CMB) temperature anisotropy map byincorporating prior knowledge about the theoretical CMB covariance matrix.Usual ILC method in pixel space, on the contrary, does not use any informationabout the underlying CMB covariance matrix. The new approach complements theusual pixel space ILC technique specifically at low multipole region, usingglobal information available from theoretical CMB covariance matrix as well asfrom the data. Since we apply our method over the large scale on the skycontaining low multipoles we perform foreground minimization globally. We applyour methods on low resolution Planck and WMAP foreground contaminated CMB mapsand validate the methodology by performing detailed Monte-Carlo simulations.Our cleaned CMB map and its power spectrum have significantly less error thanthose obtained following usual ILC technique at low resolution that does notuse CMB covariance information. Another very important advantage of our methodis that the cleaned power spectrum does not have any negative bias at the lowmultipoles because of effective suppression of CMB-foreground chancecorrelations on large angular scales of the sky. Our cleaned CMB map and itspower spectrum match well with those estimated by other research groups.

A Global ILC Approach in Pixel Space over Large Angular Scales of the Sky using CMB Covariance Matrix