Lifting scheme of symmetric tight wavelets frames

This paper proposes a method to realize the lifting scheme of tight frame wavelet filters.As for 4-channel tight frame wavelet filter,the tight frame transforms’ ma-trix is 2×4,but the lifting scheme transforms’ matrix must be 4×4.And in the case of 3-channel tight frame wavelet filter,the transforms’ matrix is 2×3,but the lifting scheme transforms’ matrix must be 3×3.In order to solve this problem,we intro-duce two concepts:transferred polyphase matrix for 4-channel filters and trans-ferred unitary matrix for 3-channel filters.The transferred polyphase matrix is sym-metric/antisymmetric.Thus,we use this advantage to realize the lifting scheme.