Phaseless compressive sensing using partial support information
Information Theory
2017-12-14 v2 math.IT
Abstract
We study the recovery conditions of weighted minimization for real-valued signal reconstruction from phaseless compressive sensing measurements when partial support information is available. A strong restricted isometry property condition is provided to ensure the stable recovery. Moreover, we present the weighted null space property as the sufficient and necessary condition for the success of -sparse phaseless recovery via weighted minimization. Numerical experiments are conducted to illustrate our results.
Keywords
Cite
@article{arxiv.1705.04048,
title = {Phaseless compressive sensing using partial support information},
author = {Zhiyong Zhou and Jun Yu},
journal= {arXiv preprint arXiv:1705.04048},
year = {2017}
}