Phase retrieval from low-rate samples

Understand

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.