| Orthogonal Matrix-Valued Wavelet Packets |
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| 作者姓名： | Qingjiang Chen Cuiling Wang and Zhengxing Cheng School of Science Xi’an University of Architecture and Technology Xi’an China. School of Science Xi’an Jiaotong University Xi’an China. |
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| 作者单位： | Qingjiang Chen1，2，Cuiling Wang2 and Zhengxing Cheng2 1 School of Science，Xi’an University of Architecture and Technology，Xi’an 710055，China. 2 School of Science，Xi’an Jiaotong University，Xi’an 710049，China. |
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| 摘 要： | In this paper, we introduce matrix-valued multiresolution analysis and matrix- valued wavelet packets. A procedure for the construction of the orthogonal matrix-valued wavelet packets is presented. The properties of the matrix-valued wavelet packets are investigated. In particular, a new orthonormal basis of L2(R, Cs×s) is obtained from the matrix-valued wavelet packets.
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| 关 键 词： | 矩阵 多分辨率 正交函数 微分方程 |
| 收稿时间： | 2004-06-29 |
| 修稿时间： | 2006-03-12 |
Orthogonal Matrix-Valued Wavelet Packets |
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| Qingjiang Chen,Cuiling Wang,Zhengxing Cheng.Orthogonal Matrix-Valued Wavelet Packets[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(1):45-53. |
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| Authors: | Qingjiang Chen Cuiling Wang Zhengxing Cheng |
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| Abstract: | In this paper,we introduce matrix-valued multiresolution analysis and matrixvalued wavelet packets. A procedure for the construction of the orthogonal matrix-valued wavelet packets is presented. The properties of the matrix-valued wavelet packets are investigated. In particular,a new orthonormal basis of L2(R,Cs×s) is obtained from the matrix-valued wavelet packets. |
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| Keywords: | Matrix-valued multiresolution analysis matrix-valued scaling functions matrix-valued wavelet packets refinement equation |
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