Error estimation for non-uniform sampling in shift invariant space

被引：7
|
作者：
Luo, Shiping [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
来源：
APPLICABLE ANALYSIS | 2007年 / 86卷 / 04期
关键词：
shift invariant space; nonuniform sampling; error estimation; riesz basis; frame; reproducing kernel;
D O I：
10.1080/00036810701259236
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
To reconstruct a function from its sampling value is not always exact, error may arise due to a lot of reasons, therefore error estimation is useful in reconstruction. For non- uniform sampling in shift invariant space, three kinds of errors of the reconstruction formula are discussed in this article. For every kind of error, we give an estimation. We find the accuracy of the reconstruction formula mainly depends on the decay property of the generator and the sampling function.
引用
收藏
页码：483 / 496
页数：14
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