| The lifting scheme of 4-channel orthogonal wavelet transforms |
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| 作者姓名： | PENG Lizhong CHU Xiaoyong |
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| 作者单位： | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China |
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| 基金项目： | 中国科学院资助项目;国家重点基础研究发展计划(973计划) |
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| 摘 要： | 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 least 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.
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| 关 键 词： | lifting scheme 4-channel orthogonal wavelet 2-channel orthogonal wavelet vanishing moment transfer vanishing moment linear phase |
The lifting scheme of 4-channel orthogonal wavelet transforms |
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| PENG Lizhong,CHU Xiaoyong.The lifting scheme of 4-channel orthogonal wavelet transforms[J].Progress in Natural Science,2006,16(1):100-104. |
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| Authors: | PENG Lizhong CHU Xiaoyong |
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| Institution: | LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China |
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| 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 least 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. |
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| Keywords: | lifting scheme 4-channel orthogonal wavelet 2-channel orthogonal wavelet vanishing moment transfer vanishing moment linear phase |
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