| 高维平移不变子空间中抽样定理 |
| |
| 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(2). |
| |
| 作者姓名： | 吴国昌 王澜峰 |
| |
| 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 |
| |
| 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.
|
| 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 |
| |
| WU Guo-chang,WANG Lan-feng.Sampling Theorem in the Shift Invariant Subspace in Higher Dimension[J].Journal of Aayang Teachers College,2009(2). |
| |
| Authors: | WU Guo-chang WANG Lan-feng |
| |
| Institution: | 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) |
| |
| 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. |
| |
| Keywords: | Zak transform The shift invariant subspace The sampling theorem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
