Local error estimation for sampling problems

被引：1
|
作者：
Yang, SY [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 158卷 / 02期
关键词：
local error estimation; sampling function; decay estimation; reproducing kernel Hilbert space; wavelet sampling;
D O I：
10.1016/j.amc.2003.09.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to evaluate the local error of the reconstruction formulas in sampling problems. We find that the local error Of Such reconstruction formulas is heavily depending on the asymptotic behavior of the sampling function. By virtue of evaluating the decay of the sampling function, we give a local error estimation for the reconstruction formulas in a multiresolution analysis and shift-invariant space. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：561 / 572
页数：12
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