| 基于塔式分解格式的多尺度平移伪框架的特征 |
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| 引用本文： | 李红武,张瑛.基于塔式分解格式的多尺度平移伪框架的特征[J].兰州理工大学学报,2011,37(2):131-136. |
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| 作者姓名： | 李红武 张瑛 |
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| 作者单位： | 1. 南阳师范学院,数学与统计学院,河南,南阳,473061
2. 商丘职业技术学院,教务处,河南,商丘,476000 |
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| 基金项目： | 陕西省自然科学基金(2009JM1002); 河南省科技发展计划资助项目(102300410219) |
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| 摘 要： | 引进多尺度平移伪框架的概念.借助于算子理论与滤波器理论,刻画多尺度平移伪框架的特征.建立广义多分辩结构的塔式分解格式,给出塔式分解格式存在的充要条件,得到平方可积函数空间的函数仿射框架展式.
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| 关 键 词： | 贝塞尔序列 子空间框架 平移伪框架 滤波器函数 仿射伪框架 塔式分解格式 |
Character of multi-scaled translation pseudo-frames based on a pyramid decomposition format |
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| LI Hong-wu,ZHANG Ying.Character of multi-scaled translation pseudo-frames based on a pyramid decomposition format[J].Journal of Lanzhou University of Technology,2011,37(2):131-136. |
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| Authors: | LI Hong-wu ZHANG Ying |
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| Institution: | LI Hong-wu1,ZHANG Ying2(1.School of Mathematics and Stastistics,Nanyang Normal University,Nanyang 473061,China,2.Office for Educational Administration,Shangqiu Vocational and Technical College,Shangqiu 476000,China) |
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| Abstract: | The concept of multi-scale translation pseudo-frames was introduced.By virtue of operator theory and filter theory,multi-scaled translation pseudo-frames were characterized.The pyramid decomposition format of a generalized multi-resolution structure was set up.A necessary and sufficient condition for the existence of the pyramid decomposition format was given.Therefore,affine pseudo-frame expansions of functions in quadratic integrable function space were obtained. |
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| Keywords: | Bessel series subspace frames translation pseudo-frames filter functions affine pseudo-frames pyramid decomposition format |
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