| 基于Parseval框架的多小波子空间抽样定理 |
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| 引用本文： | 郭二鹏,刘占卫.基于Parseval框架的多小波子空间抽样定理[J].河南科学,2010,28(9):1074-1077. |
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| 作者姓名： | 郭二鹏 刘占卫 |
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| 作者单位： | 1. 郑州旅游职业学院,郑州,450009
2. 郑州大学,信息工程学院,郑州,450001 |
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| 基金项目： | 国家自然科学基金项目资助，河南省自然科学基金项目资助 |
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| 摘 要： | 研究了基于Parseval框架的多小波子空间中的抽样定理.通过满足一定条件,给出抽样定理在多小波子空间中成立的等价条件.所得结果不仅推广了单小波子空间的抽样定理,而且抽样公式在L2(R)收敛意义下成立.
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| 关 键 词： | Parseval框架 规则抽样 多小波 抽样定理 平移不变子空间 |
Parseval Frame and Sampling Theorem in Multiwavelets Subspaces |
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| Guo Erpeng,Liu Zhanwei.Parseval Frame and Sampling Theorem in Multiwavelets Subspaces[J].Henan Science,2010,28(9):1074-1077. |
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| Authors: | Guo Erpeng Liu Zhanwei |
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| Institution: | 1.Zhengzhou Tourism College,Zhengzhou 450009,China;2.School of Information Engineering,Zhengzhou University,Zhengzhou 450001,China) |
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| Abstract: | In this paper,the sampling theorem for frame in multiwavelet subspaces were in vestigated.an equivalent condition for the sampling theorem to hold in multiwavelet subspaces were given.The results generalize the sampling theorem in scalar wavelet subspace and is uniform convergence in L（2R）. |
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| Keywords: | Parseval frame regular sampling multiwavelet sampling theorem shift-invariant subspace |
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