  This article presents new results concerning the recovery of a signal from
magnitude only measurements where the signal is not sparse in an orthonormal
basis but in a redundant dictionary. To solve this phaseless problem, we
analyze the $ \ell_1 $-analysis model. Firstly we investigate the noiseless
case with presenting a null space property of the measurement matrix under
which the $ \ell_1 $-analysis model provide an exact recovery. Secondly we
introduce a new property (S-DRIP) of the measurement matrix. By solving the $
\ell_1 $-analysis model, we prove that this property can guarantee a stable
recovery of real signals that are nearly sparse in highly overcomplete
dictionaries.

Numerical Analysis