兰州理工大学学报

2020, v.46;No.206(06) 159-167

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高维半正交波包框架的刻画
Characterization for high dimensional semi-orthogonal wave packet frames

陈欢;陈清江;
CHEN Huan;CHEN Qing-jiang;School of Humanities and Education, Shaanxi Energy Institute;School of Science, Xi'an University of Architecture and Technology;

摘要(Abstract):

研究了空间L~2(R~n)上半正交波包框架的存在性,刻画了空间L~2(R~n)上的半正交波包框架的特征,得到了多个小波函数组成的波包系构成波包巴塞尔框架的充分必要条件,以及波包框架成为半正交框架的等价条件.
The existence of semi-orthogonal wave packet frames in the space of L~2(R~n) is studied, and the characteristics of semi-orthogonal wave packet frames in the space of L~2(R~2) are characterized as well. The necessary and sufficient conditions for wave packet systems composed of several wavelet functions to form wave packet Basel frames are established. The equivalent condition for the wave packet frame to be a semi-orthogonal frame is obtained as well.

关键词(KeyWords): 波包框架;半正交波包框架;波包巴塞尔框架;框架多分辨分析
wave packet frames;semi-orthogonal wave packet frames;wave packet parseval frames;frame multiresolution analysis

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基金项目(Foundation): 国家自然科学基金(61403298)

作者(Author): 陈欢;陈清江;
CHEN Huan;CHEN Qing-jiang;School of Humanities and Education, Shaanxi Energy Institute;School of Science, Xi'an University of Architecture and Technology;

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