Average sampling theorems for shift invariant subspaces

被引：0

作者：

Sun, WC ^{[1
]}

Zhou, XW ^{[1
]}

机构：

[1] Nankai Univ, Nankai Inst Math, Tianjin 300071, Peoples R China

来源：

SCIENCE IN CHINA SERIES E-TECHNOLOGICAL SCIENCES | 2000年 / 43卷 / 05期

关键词：

sampling theorem; average sampling; shift invariant subspaces; wavelet subspaces;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The sampling theorem is one of the most powerful results in signal analysis. In this paper, we study the average sampling on shift invariant subspaces, e.g. wavelet subspaces. We show that if a subspace satisfies certain conditions, then every function in the subspace is uniquely determined and can be reconstructed by its local averages near certain sampling points. Examples are given.

引用

页码：524 / 530

页数：7

共 12 条

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