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Phase retrieval with Gabor frames: stability aspects

Palina Salinevich
Jacobs University, Germany


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.

Tuesday, April 12, 2016
11:00AM AP&M 2402