%0 Journal Article
%T Phase retrieval from low-rate samples
%A Volker Pohl
%A Fanny Yang
%A Holger Boche
%J Computer Science
%D 2013
%I arXiv
%X The paper considers the phase retrieval problem in N-dimensional complex vector spaces. It provides two sets of deterministic measurement vectors which guarantee signal recovery for all signals, excluding only a specific subspace and a union of subspaces, respectively. A stable analytic reconstruction procedure of low complexity is given. Additionally it is proven that signal recovery from these measurements can be solved exactly via a semidefinite program. A practical implementation with 4 deterministic diffraction patterns is provided and some numerical experiments with noisy measurements complement the analytic approach.
%U http://arxiv.org/abs/1311.7045v4