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α尺度r重双正交紧支撑多小波的构造

The construction of 4-scale r-dimension compactly supported biorthogonal multiwavelet
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摘要 研究了多小波的构造算法,利用多分辨分析和双正交理论,给出了α尺度r重双正交多小波;再结合矩阵理论,得到双正交多小波的两尺度矩阵序列;最后通过矩阵的正交扩充给出了一种构造α尺度r重紧双正交支撑多小波的算法. The paper research the method for construction of multiwavelet,using the MRA and biorthogonal theory, and define the biorthogonal multiwavelet with a-scale and r-dimension;then with combinations of the matrix theory,biorthogonal multiwavelet two dimension matrix sequence can be get;and propose the algorithm for construction of a-scale and r-dimension compactly supported biorthonormal multiwavelet using orthogonal extension of the matrix.
作者 廖开方
机构地区 洛阳师范学院数学科学学院
出处 《才智》 2013年第26期239-240,共2页 Ability and Wisdom
关键词 多分辨分析 FOURIER变换 矩阵正交扩充 MRA Fourier transform Matrix orthogonal expansion
分类号 O174.2 [理学—基础数学]
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参考文献7

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2013年 第26期

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