| 基于框架的L~2(R)子空间的抽样定理 |
| |
| 引用本文： | 刘占卫,田金毓.基于框架的L~2(R)子空间的抽样定理[J].河南科学,2007,25(6):877-880. |
| |
| 作者姓名： | 刘占卫 田金毓 |
| |
| 作者单位： | 1. 信息工程大学,信息工程学院,郑州,450002
2. 郑州旅游职业学院,郑州,450009 |
| |
| 摘 要： | 讨论了L(2R)平移不变子空间中基于框架的非整点抽样定理,得到了抽样函数在频域中的表示形式以及非整点抽样定理在L(2R)平移不变子空间中成立的充要条件.
|
| 关 键 词： | 框架 平移不变子空间 抽样定理 算子 |
| 文章编号： | 1004-3918（2007）06-0877-04 |
| 修稿时间： | 2007-04-20 |
Frames and Sampling Theorems for Subspaces of L2(R) |
| |
| LIU Zhan-wei,TIAN Jin-yu.Frames and Sampling Theorems for Subspaces of L2(R)[J].Henan Science,2007,25(6):877-880. |
| |
| Authors: | LIU Zhan-wei TIAN Jin-yu |
| |
| Institution: | 1. Institute of Information Engineering, University of Information Engineering, Zhengzhou 450002, China; 2. Zhengzhou Tourism College, Zhengzhou 450009, China |
| |
| Abstract: | In this article,a lattice sampling theorem for frames in translation-invariant subspace of L2(R) is discussed.Moreover,a formula of the lattice sampling functions in frequency space and a necessary and sufficient condition of the lattice sampling theorem in translation-invariant subspace of L2(R) are derived. |
| |
| Keywords: | frame translation-invariant subspace sampling theorem operator |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
