Power filtration of CMB observational data

We propose a power filter Cp for linear reconstruction of the CMB signal fr om one-dimensional scans of observational maps. This Gp filter preserves th e power spectrum of the CMB signal in contrast to the Wiener filter which d iminishes the power spectrum of the reconstructed CMB signal. We demonstrat e how peak statistics and a cluster analysis can be used to estimate the pr obability of the presence of a CMB signal in observational records. The eff iciency of the G, filter is demonstrated on a toy model of an observational record consisting of a CMB signal and noise in the form of foreground poin t sources.