| 离散超小波变换下双正交小波正交程度的研究 |
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| 引用本文： | 邹庆云,陶庆云.离散超小波变换下双正交小波正交程度的研究[J].湖南文理学院学报(自然科学版),2008,20(2):22-24. |
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| 作者姓名： | 邹庆云 陶庆云 |
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| 作者单位： | 湖南文理学院,数学系,湖南,常德,415000;湖南文理学院,数学系,湖南,常德,415000 |
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| 摘 要： | 利用离散超小波变换作为工具,证明了任何一个双正交小波变换的谱不可能分布在1附近的某个区间内,并给出了该区间的一个估计,所给的结果说明双正交小波不可能无限接近一个相应的正交变换. 同时用实验印证了,在其它条件相同的情况下,谱半径越小,双正交小波变换的性能越好.
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| 关 键 词： | 2-循环矩阵 小波滤波器 最小矩阵 最优滤波器 图像压缩 |
The study of biorthogonal wavelet filters' degree of orthogonality by discrete hyper-wavelet transforms |
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| ZOU Qing-yun,TAO Qing-yun.The study of biorthogonal wavelet filters' degree of orthogonality by discrete hyper-wavelet transforms[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2008,20(2):22-24. |
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| Authors: | ZOU Qing-yun TAO Qing-yun |
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| Institution: | ZOU Qing-yun,TAO Qing-yun (Department of Mathematics,Hunan University of Arts , Science,Changde,Hunan,415000) |
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| Abstract: | Biorthogonal wavelet filters spectrum by discrete hyper-wavelet transforms spectrum can not infinitely close to a open interval. A interval estimation is found out, any biorthogo- nal wavelet family can not infinitely close to the orthogonal wavelet correspondingly and the smaller the spectral radius is, the better the performance is. |
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| Keywords: | 2-circular matrix wavelet filters minimal matrix optimal filter image compression |
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