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| Some properties on multivariate filter banks with a matrix factorization | |
| 作者姓名： | LIAN Qiaofang XIAO Hongying CHEN Qiuhui |
| 作者单位： | Department of Mathematics,Beijing Jiaotong University,Beijing 100044,China,Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China,Department of Scientific Computing and Computer Applications,Zhongshan University,Guangzhou 510275,China |
| 摘 要： | A class of multivariate filter banks with a matrix factorization has been developed by Chen et al. The main purpose of this paper is to discuss some further properties of this kind of filter bank, such as the completeness, accuracy of the corresponding scaling functions and the relationships with Daubechies' wavelets and the multi-wavelets provided by Chui and Lian. Moreover, some examples are given to show that this kind of filter bank has a higher accuracy for the scaling functions. |
| 关 键 词： | filter banks completeness accuracy matrix factorization |
Some properties on multivariate filter banks with a matrix factorization |
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| LIAN Qiaofang,XIAO Hongying,CHEN Qiuhui.Some properties on multivariate filter banks with a matrix factorization[J].Progress in Natural Science,2005,15(2):115-125. | |
| Authors: | LIAN Qiaofang XIAO Hongying CHEN Qiuhui |
| Institution: | 1. Department of Mathematics,Beijing Jiaotong University,Beijing 100044,China 2. Institute of Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences,Beijing 100080,China 3. Department of Scientific Computing and Computer Applications,Zhongshan University,Guangzhou 510275,China |
| Abstract: | A class of multivariate filter banks with a matrix factorization has been developed by Chen et al. The main purpose of this paper is to discuss some further properties of this kind of filter bank, such as the completeness, accuracy of the corresponding scaling functions and the relationships with Daubechies' wavelets and the multi-wavelets provided by Chui and Lian. Moreover, some examples are given to show that this kind of filter bank has a higher accuracy for the scaling functions. |
| Keywords: | filter banks completeness accuracy matrix factorization |
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