Palina Salanevich, Jacobs University Bremen

**Phase retrieval with Gabor frames: reconstruction and stability**

**Abstract:** Phase retrieval is a non-convex inverse problem arising
in many practical applications, such as diffraction imaging and speech
recognition. More precisely, we seek to recover a signal of interest
from its intensity measurements with respect to some measurement frame.
In practice, phaseless measurements with respect to a Gabor frame are
relevant for many applications. We are going to describe the idea of a
reconstruction algorithm for the case of Gabor measurements, and then
show how geometric properties of the measurement frame, such as
projective uniformity and flatness of the vector of frame coefficients,
are related to the robustness of the presented algorithm.