Phase Retrieval via Structured Modulations in Paley-Wiener Spaces

Abstract

This paper considers the recovery of continuous time signals from the magnitude of its samples. It uses a combination of structured modulation and oversampling and provides sufficient conditions on the signal and the sampling system such that signal recovery is possible. In particular, it is shown that an average sampling rate of four times the Nyquist rate is sufficient to reconstruct a signal from its magnitude measurements.

Submitted to SAMPTA 2013

References in corpus (1)

• Reconstruction of Bandlimited Functions from Unsigned Samples

Cited by in corpus (6)

• Phase Retrieval of Real-Valued Signals in a Shift-Invariant Space
• Stable Phase Retrieval in Infinite Dimensions
• Local and Global Phaseless Sampling in Real Spline Spaces
• Phaseless Sampling and Linear Reconstruction of Functions in Spline Spaces
• Phaseless Signal Recovery in Infinite Dimensional Spaces using Structured Modulations
• Compressive phase retrieval of sparse bandlimited signals