Phase Retrieval and Zero Crossings

Inhaltsverzeichnis

• 1 Introduction.
• 2 Polynomials: A Review.
• 3 Entire Functions and Signal Recovery.
• 4 Homometric Distributions.
• 5 Analytic Signals and Signal Recovery from Zero Crossings.
• 6 Signal Representation by Fourier Phase and Magnitude in One Dimension.
• 7 Recovery of Distorted Band-Limited Signals.
• 8 Compact Operators, Singular Value Analysis and Reproducing Kernel Hilbert Spaces.
• 9 Kaczmarz Method, Landweber Iteration, Gerchberg-Papoulis and Regularization.
• 10 Two Dimensional Signal Recovery Problems.
• 11 Reconstruction Algorithms in Two Dimensions.
• 12 Nonexpansive Maps and Signal Recovery.
• 13 Projections on Convex Sets in Signal Recovery.
• 14 Method of Generalized Projections and Steepest Descent.
• 15 Closed Form Reconstruction of the Support and the Object.
• 16 Fienup’s Input-Output Algorithms and Variations on this Theme.
• 17 Topics and Applications of Signal Recovery.
• A The Geometry of Projections on Convex Sets.
• B Reference Summary.
• C References.