Statistical interpretation of the importance of phase information in signal and image reconstruction

被引：31

作者：

Ni, Xuelei ^{[1
]}

Huo, Xiaoming

机构：

[1] Kennesaw State Univ, Dept Math & Stat, Kennesaw, GA 30144 USA

[2] Georgia Inst Technol, Sch Ind & Syst Engn, Atlanta, GA 30332 USA

来源：

STATISTICS & PROBABILITY LETTERS | 2007年 / 77卷 / 04期

基金：

美国国家科学基金会;

关键词：

reconstruction; Fourier transform; importance of phases;

D O I：

10.1016/j.spl.2006.08.025

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In the Fourier representation of signals and images, phases have long been realized to be more important than magnitudes in the reconstruction. In this paper, a justification is presented from a statistical viewpoint. The main result shows that under random magnitudes, the DC component of the inverse Fourier transform converges to a positive value, while all the other components converge to zero. For random phases, such a result does not exist. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：447 / 454

页数：8

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