The lifting scheme of 4-channel orthogonal wavelet transforms*
Source abstract
Abstract
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)
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Image and Signal Denoising Methods · Advanced Data Compression Techniques · Digital Filter Design and Implementation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (10)
Show source-provided references
1. Sweldens, W. (1996) The lifting scheme: A custom-design construction of biorthogonal wavelets Progress in Natural Science, 3(2), pp. 186 - 200.
2. Chen, Y. and Oraintara, S. and Amaratunga, K.(2003) M-channel lifting-based design of paraunitary and biorthoganl filter banks with structural regularity. In Proc. Int. Symp. Circuts Systems. . Bangkok
3. Daubechies, I. and Sweldens, W. (1998) Factoring wavelet transform into lifting steps Progress in Natural Science, 4(3), pp. 245 - 267.
4. Calderbank, R. and Daubechies, I. and Swelden, W. and (1998) Wavelet transforms that maps integers to intergers Progress in Natural Science, 15(3), pp. 332 - 369.
5. Chen, Y. and Oraintara, S. and Nguyen, T.(2000) Video compression using integer DCT. In Proc. IEEE int. Conf. Image Processing. . Vancouver
6. Chen, Y. and Amaratunga, K. (2003) M-channel lifting factorization of perfect reconstruction filter banks and reversible M-band wavelet transforms Progress in Natural Science, 50(12), pp. 963 - 976.
7. Jawerth, B. and Peng, L. (2001) Compactly supported orthogonal wavelets on the Heisenberg Group Progress in Natural Science, 45.
8. Peng, L. and Wang, Y. (2004) Construction of compactly supported orthogonal wavelets with beautiful structure Progress in Natural Science, 34(2), pp. 200 - 210.
9. Daubechies, I.(1992) Ten Lectures on Wavelets. In . Philadelphia : SIAM.10.1137/1.9781611970104 ↗
10. Jia, R. (1998) Approximation properties of multivariate wavelets Progress in Natural Science, 67(222), pp. 647 - 665.