Generalized consistent sampling in abstract Hilbert spaces

被引：2

作者：

Kwon, Kil Hyun ^{[1
]}

Lee, Dae Gwan ^{[2
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon 305701, South Korea

[2] Seoul Natl Univ, PLUS SNU Math Sci Div BK21, Seoul 151747, South Korea

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Consistent sampling; Frame; Oblique projection; RECONSTRUCTION; FRAMEWORK;

D O I：

10.1016/j.jmaa.2015.07.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider generalized consistent sampling and reconstruction processes in an abstract Hilbert space H. We first study the consistent sampling in H together with its performance analysis. We then study its generalization: partial consistency and quasi-consistency. We give complete characterizations for both of them. We also provide an iterative algorithm to compute the quasi-consistent approximation. An illustrative example is also included. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：375 / 391

页数：17

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