Phase retrieval versus phaseless reconstruction

被引：10

作者：

Botelho-Andrade, Sara ^{[1
]}

Casazza, Peter G. ^{[1
]}

Hanh Van Nguyen ^{[1
]}

Tremain, Janet C. ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 436卷 / 01期

基金：

美国国家科学基金会;

关键词：

Phase retrieval; Phaseless reconstruction; Complement property; Projections; Weak phase retrieval; Frame theory; INJECTIVITY;

D O I：

10.1016/j.jmaa.2015.11.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 2006, Balan, Casazza, and Edidin [1] introduced the frame theoretic study of phaseless reconstruction. Since then, this has turned into a very active area of research. Over the years, many people have replaced the term phaseless reconstruction with phase retrieval. At a meeting in 2012, Casazza asked: Are these really the same? In this paper, we will show that phase retrieval is equivalent to phaseless reconstruction. We then show, more generally, that phase retrieval by projections is equivalent to phaseless reconstruction by projections in the real case. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：131 / 137

页数：7

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