Compressed sensing for real measurements of quaternion signals

被引：9

作者：

Badenska, Agnieszka ^{[1
]}

Blaszczyk, Lukasz ^{[1
,2
]}

机构：

[1] Warsaw Univ Technol, Fac Math & Informat Sci, Ul Koszykowa 75, PL-00662 Warsaw, Poland

[2] Warsaw Univ Technol, Inst Radioelect & Multimedia Technol, Ul Nowowiejska 15-19, PL-00665 Warsaw, Poland

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 13期

关键词：

24;

D O I：

10.1016/j.jfranklin.2017.06.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The paper concerns compressed sensing methods in the quaternion algebra. We prove that it is possible to uniquely reconstruct - by l(1) norm minimization - a sparse quaternion signal from a limited number of its real linear measurements, provided the measurement matrix satisfies so-called restricted isometry property with a sufficiently small constant. We also provide error estimates for the approximated reconstruction of a non-sparse quaternion signal from noisy and noiseless data. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：5753 / 5769

页数：17

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