L1-norm minimization for quaternion signals
Numerical Analysis
2012-02-27 v1 Data Structures and Algorithms
Information Theory
math.IT
Abstract
The l1-norm minimization problem plays an important role in the compressed sensing (CS) theory. We present in this letter an algorithm for solving the problem of l1-norm minimization for quaternion signals by converting it to second-order cone programming. An application example of the proposed algorithm is also given for practical guidelines of perfect recovery of quaternion signals. The proposed algorithm may find its potential application when CS theory meets the quaternion signal processing.
Cite
@article{arxiv.1202.5471,
title = {L1-norm minimization for quaternion signals},
author = {Jiasong Wu and Xu Zhang and Xiaoqing Wang and Lotfi Senhadji and Huazhong Shu},
journal= {arXiv preprint arXiv:1202.5471},
year = {2012}
}
Comments
4 pages,2 figures