| 二元紧支撑正交小波的构造 |
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| 引用本文： | 杨建伟,张玲玲.二元紧支撑正交小波的构造[J].数学季刊,2003,18(3):242-246. |
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| 作者姓名： | 杨建伟 张玲玲 |
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| 作者单位： | 1.Faculty of Science，Xi'an Jiaotong University，Xi'an 710049，China ; Henan Institute of Finance and Economic，Zhengzhou 450002，China; 2.Faculty o f Science，Tianjin University，Tianjin 300072，China |
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| 基金项目： | SupportedbytheNaturalScienceFoundationofHenanProvince( 0 0 40 6190 0 ) |
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| 摘 要： | § 1. Introduction SinceDAUBECHIES 1 ]gavethewellknownconstructionofunivariatecompactlysup portedorthonormalwavelets,considerableattertionhasbeenspentonconstructingmultivariatecompactlysupportedorthonormalwavelets 2— 5etc.] .Althoughmanyspecialbivariatenon separablewaveletshavebeenconstructed ,itisstillanopenproblemhowtoconstructbivariatecompactlyorthonormalwaveletsforanygivencompactlysupportedscalingfunction .Thepur poseofthispaperistoconstructcompactlysupportedorthogonalwaveletass…
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| 关 键 词： | 紧支撑 正交小波 定标函数 构造算法 符号函数 |
Construction of Compactly Supported Bivariate Orthogonal Wavelets |
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| YANG Jian-wei,ZHANG Ling-ling.Construction of Compactly Supported Bivariate Orthogonal Wavelets[J].Chinese Quarterly Journal of Mathematics,2003,18(3):242-246. |
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| Authors: | YANG Jian-wei ZHANG Ling-ling |
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| Abstract: | For a given compactly supported scaling function supported over 0,3]×0,3], we present an algorithm to construct compactly supported orthogonal wavelets. By this algorithm, the symbol function of the associated wavelets can be constructed explicitly. |
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| Keywords: | wavelet compactly supported scaling function ortho normal |
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