| 高维平移不变子空间中抽样定理 |
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| 引用本文： | 吴国昌,王澜峰. 高维平移不变子空间中抽样定理[J]. 安阳师范学院学报, 2009, 0(2) |
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| 作者姓名： | 吴国昌 王澜峰 |
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| 作者单位： | 1. 河南财经学院信息学院,河南,郑州,450002
2. 安阳师范学院数学科学学院,河南,安阳,455000 |
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| 摘 要： | 本文研究了高维平移不变子空间中的抽样定理.首先通过Zak变换刻画了抽样空间的一些性质,然后证明了在一个平移不变的抽样空间中,由其中任一个函数的整平移所张成的子空间也是抽样空间.最后我们给出了函数满足抽样定理的一些必要条件.
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| 关 键 词： | Zak变换 平移不变子空间 抽样定理 |
Sampling Theorem in the Shift Invariant Subspace in Higher Dimension |
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| WU Guo-chang,WANG Lan-feng. Sampling Theorem in the Shift Invariant Subspace in Higher Dimension[J]. Journal of Aayang Teachers College, 2009, 0(2) |
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| Authors: | WU Guo-chang WANG Lan-feng |
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| Affiliation: | WU Guo-chang1,WANG Lan-feng2 (1.College of Information,Henan University of Finance , Economics,Zhengzhou 450002,China,2.School of Mathematical Science,Anyang Normal University,Anyang 455000,China) |
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| Abstract: | In this paper,the sampling theorem is studied in the shift invariant subspace in higher dimension.At first,some properties in the sampling subspace are classified.Then,that the subspace spanned by the translation of a function is also a subspace is proved in the shift invariant subspace.Finally,some necessary conditions of the function satisfying the sampling theorem are given. |
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| Keywords: | Zak transform The shift invariant subspace The sampling theorem |
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