On the aliasing error in a class of bidimensional wavelet subspaces  

作　　者：LIU Hui-min LI Yun-zhang 

机构地区：[1]College of Applied Sciences, Beijing University of Technology, Beijing, 100124, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》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)

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 anThis 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

关 键 词：Multiresolution analysis aliasing error wavelet subspace. 

分 类 号：O174.2[理学—数学] TP391.41[理学—基础数学]