The lifting scheme of 4-channel orthogonal wavelet transforms*
Lizhong Peng, Chu Xiaoyong · Progress in Natural Science Materials International · 2006
Abstract The 4-channel smooth wavelets with linear phase and orthogonality are designed from the 2-channel orthogonal wavelets with high transfer vanishing moments. Reversely, for simple lifting scheme of such 4-channel orthogonal wavelet transforms, a new 2-channel orthogonal wavelet associated with this 4-channel wavelet is constructed. The new 2-channel wavelet has at lease the same number of vanishing moments as the associated 4-channel one. Finally, by combining the two such 2-channel wavelet systems, the lifting scheme of 4-channel orthogonal wavelet transform, which has simple structure and is easy to apply, is presented. Supported by National Science Foundation of China (Grant Nos. 10471002 and 90104004) and Major State Basic Research Development Program of China (Grant No. 1999075105)