The problem of phase retrieval arises in various fields of science and engineering. In this talk we review several modern methods for treating the phase retrieval problem with structured measurements. In particular, we focus on methods to render the 1D Fourier phase retrieval unique by adding redundancy into the Fourier measurements. We then consider techniques for designing an optimal measurement matrix for phase retrieval based on maximizing the mutual information.

This presentation is part of Minisymposium “MS21 - Recent mathematical advances in phase retrieval and computational imaging (2 parts)”
organized by: Mahdi Soltanolkotabi (University of Southern California) , Tamir Bendory (Princeton University) .

Authors:

Yonina Eldar (Department of EE, Technion, Israel Institute of Technology, Haifa)

Keywords:

inverse problems, nonlinear optimization