A phaseless reconstruction algorithm for real-valued signals in a shift-invariant space

Abstract

In this paper, we consider an infinite dimensional phase retrieval problem to reconstruct real-valued signals living in a shift-invariant space from their phaseless samples taken on a discrete set with finite sampling density. In this paper, we also propose a suboptimal reconstruction algorithm when its noisy phaseless samples are available only. Numerical simulations are performed to demonstrate the stablereconstruction of B-spline signals from their noisy phaseless samples.