Chapter 16: Phase Retrieval and Phaseless Imaging

Learning Objectives

• Explain why phase retrieval is fundamentally harder than linear inverse problems
• Derive PhaseLift as a semidefinite relaxation of the phase retrieval problem
• Implement Wirtinger flow and prove its local convergence guarantee
• Apply phase retrieval algorithms to RF imaging scenarios with magnitude-only measurements
• Understand the role of coded measurements and sparsity in phaseless imaging