CONSTRUCTION OF BIORTHOGONAL WAVELETS STARTING FROM ANY 2 MULTIRESOLUTIONS

Starting from any two given multiresolution analyses of L-2, {V-j(1)}( j epsilon z), and {V-j(2)}(j epsilon z), we construct biorthogonal wav elet bases that are associated with this chosen pair of multiresolutio ns. Thus, our construction method takes a point of view opposite to th e. one of Cohen-Daubechies-Feauveau (CDF), which starts from a well-ch osen pair of biorthogonal discrete filters. In our construction, the n ecessary and sufficient condition is the nonperpendicularity of the mu ltiresolutions.