Phaseless signal recovery in infinite dimensional spaces using structured modulations

V Pohl, F Yang, H Boche - Journal of Fourier Analysis and Applications, 2014 - Springer
This paper considers the recovery of continuous signals in infinite dimensional spaces from
the magnitude of their frequency samples. It proposes a sampling scheme which involves a …

Algorithms and error bounds for noisy phase retrieval with low-redundancy frames

BG Bodmann, N Hammen - Applied and Computational Harmonic Analysis, 2017 - Elsevier
The main objective of this paper is to find algorithms accompanied by explicit error bounds
for phase retrieval from noisy magnitudes of frame coefficients when the underlying frame …

Phase retrieval from low-rate samples

V Pohl, H Boche, F Yang - Sampling Theory in Signal and Image …, 2015 - Springer
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 …

Fast compressive phase retrieval from Fourier measurements

Ç Yapar, V Pohl, H Boche - 2015 IEEE International …, 2015 - ieeexplore.ieee.org
This paper considers the problem of recovering a k-sparse, N-dimensional complex signal
from Fourier magnitude measurements. It proposes a Fourier optics setup such that signal …

[PDF][PDF] Stable Phase Retrieval Using Low-Redundancy Frames of Polynomials

N Hammen - 2015 - uh-ir.tdl.org
In many applications, measurements of a signal consist of the magnitudes of linear
functionals while the phase information of these functionals is unavailable. Examples of …