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AIMS: One of the most challenging and important problem of digital signalprocessing in Cosmology is the separation of foreground contamination fromcosmic microwave background (CMB). This problem becomes even more difficult insituations, as the CMB polarization observations, where the amount of available"a priori" information is limited. In this case, it is necessary to resort tothe "blind separation" methods. One important member of this class isrepresented by the "Independent Components Analysis" (ICA). In its originalformulation, this method has various interesting characteristics, but also somelimits. One of the most serious is the difficulty to take into account anyinformation available in advance. In particular, ICA is not able to exploit thefact that emission of CMB is the same at all the frequencies of observations.Here, we show how to deal with this question. The connection of the proposedmethodology with the "Internal Linear Composition" (ILC) technique is alsoillustrated.  METHODS: A modification of the classic ICA approach is presented and itscharacteristics are analyzed both analytically and by means of numericalexperiments.  RESULTS: The modified version of ICA appears to provide more stable resultsand of better quality.

A Modified ICA Approach for Signal Separation in CMB Maps