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arXiv · 1705.04048

Phaseless compressive sensing using partial support information

Zhiyong Zhou·Jun Yu
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Abstract

We study the recovery conditions of weighted $\ell_1$ 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 $k$-sparse phaseless recovery via weighted $\ell_1$ minimization. Numerical experiments are conducted to illustrate our results.

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Zhiyong Zhou, Jun Yu. 2017-05-11. Phaseless compressive sensing using partial support information. https://arxiv.org/abs/1705.04048

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