On the aliasing error in a class of bidimensional wavelet subspaces 被引量：1

On the aliasing error in a class of bidimensional wavelet subspaces

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摘要 This paper addresses the aliasing error in multiresolution analysis associated with a 2× 2 dilation expression of the Fourier transform of the aliasing error optimal L^2（R^2）-norm estimation of the aliasing error. the setting of a class of bidimensional matrix of determinant ±2. The explicit is established, from which we obtain an This paper addresses the aliasing error in multiresolution analysis associated with a 2× 2 dilation expression of the Fourier transform of the aliasing error optimal L^2（R^2）-norm estimation of the aliasing error. the setting of a class of bidimensional matrix of determinant ±2. The explicit is established, from which we obtain an

作者 LIU Hui-min LI Yun-zhang

机构地区 College of Applied Sciences

出处《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2011年第1期77-85,共9页 高校应用数学学报（英文版）（B辑）

基金 Supported by the National Natural Science Foundation of China (10671008) Beijing Natural Science Foundation (1092001) the Scientific Research Common Program of Beijing Municipal Commission of Education the Scientific Research Foundation for the Returned Overseas Chinese Scholars State Education Ministry (SRF for ROCS, SEM)

关键词 Multiresolution analysis aliasing error wavelet subspace. Multiresolution analysis, aliasing error, wavelet subspace.

分类号 O174.2 [理学—基础数学] TP391.41 [自动化与计算机技术—计算机应用技术]

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参考文献1

1Yun Zhang LI.A Class of Bidimensional FMRA Wavelet Frames[J].Acta Mathematica Sinica,English Series,2006,22(4):1051-1062. 被引量：5

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共引文献4

1LI YouFa 1,2 & YANG ShouZhi 1, 1 Department of Mathematics, Shantou University, Shantou 515063, China,2 College of Mathematics and Information Sciences, Guangxi University, Nanning 530004, China.Multiwavelet sampling theorem in Sobolev spaces[J].Science China Mathematics,2010,53(12):3197-3214.
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同被引文献15

1Yun Zhang LI.A Class of Bidimensional FMRA Wavelet Frames[J].Acta Mathematica Sinica,English Series,2006,22(4):1051-1062. 被引量：5
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引证文献1

1刘慧敏,李永凤.一类二维尺度空间上混淆误差的点态估计[J].工程数学学报,2011,28(6):812-820.

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