| 基于Hermite Cubics的预滤波器与双正交平衡系统 |
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| 引用本文： | 程蓉,赵宇,李万社. 基于Hermite Cubics的预滤波器与双正交平衡系统[J]. 广州大学学报(自然科学版), 2009, 8(3) |
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| 作者姓名： | 程蓉 赵宇 李万社 |
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| 作者单位： | 中北大学理学院,山西,太原,030051;中北大学信息与通信工程学院,山西,太原,030051;陕西师范大学数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 首先将正交多小波系统的平衡性理论及预滤波理论推广到双正交系统,在此基础上,从不具有平衡性的Hermite Cubics双正交多小波出发,得到两组使系统的低通滤波器保持三阶多项式信号的预滤波器,最后给出一组基于Hermite Cubics系统的具有一阶平衡性的双正交多小波系统.
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| 关 键 词： | 双正交多小波 预滤波 平衡性 Hermite Cubics |
Prefilter banks and balancing biorthogonal system based on Hermite Cubics |
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| CHENG Rong,ZHAO Yu,LI Wan-she. Prefilter banks and balancing biorthogonal system based on Hermite Cubics[J]. Journal og Guangzhou University:Natural Science Edition, 2009, 8(3) |
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| Authors: | CHENG Rong ZHAO Yu LI Wan-she |
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| Affiliation: | 1. College of Science;North University of China;Taiyuan 030051;China;2. College of Information and Communication Engineering;3. College of Mathematics and Information Science;Shanxi Normal University;Xi'an 710062;China |
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| Abstract: | The balancing and prefilter theories of orthogonal multiwavelet system are generated to the biorthogonal system firstly. Then,based on nonbalanced biorthogonal Hermite Cubics system,two prefilter banks that make the low-pass branch preserve 3-order polynomial signals are designed. In the end,a biorthogonal system balanced of order 1 coming from Hermite Cubics is constructed,too. |
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| Keywords: | Hermite Cubics |
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