Multiresolutionrepressentationsareveryeffectiveforanalyzingtheinformationcontentofimages.Westudythepropertiesofthepoeratorwhichapproximatesasignalatagivenresolution.Weshoethatthedifferenceofinformationbetweentheapproximationofasignalattheresolutions2j+1and2jcanbeextractedbydecomposin