Emergent Mind
Phaseless compressive sensing using partial support information
(1705.04048)
Published May 11, 2017
in
cs.IT
and
math.IT
Abstract
We study the recovery conditions of weighted $\ell1$ 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 $\ell1$ minimization. Numerical experiments are conducted to illustrate our results.
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