Filter design for adaptive lifting schemes

The paper addresses the problem of optimum design of predict and update filters for lifting scheme of the wavelet transform. It extends previous works of Baraniuk, Claypoole and Nowak, and presents general principles for building matrix equations for computation of arbitrary order lifting filters. Exemplary designs are presented in the paper. (2,2) Cohen-Daubechies-Feauveau and (4,4) Desla-uriers-Debuc wavelet transforms can be obtained as special cases from the presented approach. Both predict-first and update-first schemes are taken into account.