Blind gain and phase calibration via sparse spectral methods

Y Li, K Lee, Y Bresler - IEEE Transactions on Information …, 2018 - ieeexplore.ieee.org
Blind gain and phase calibration (BGPC) is a bilinear inverse problem involving the
determination of unknown gains and phases of the sensing system, and the unknown signal …

Computing high quality phase-only holograms for holographic displays

P Chakravarthula, Y Peng, J Kollin… - … for Displays and …, 2020 - spiedigitallibrary.org
Holography has demonstrated potential to achieve a wide field of view, focus supporting,
optical see-through augmented reality display in an eyeglasses form factor. Although phase …

The recovery of complex sparse signals from few phaseless measurements

Y Xia, Z Xu - Applied and Computational Harmonic Analysis, 2021 - Elsevier
We study the stable recovery of complex k-sparse signals from as few phaseless
measurements as possible. The main result is to show that one can employ ℓ 1 minimization …

A Regularized Weighted Smoothed L0 Norm Minimization Method for Underdetermined Blind Source Separation

L Wang, X Yin, H Yue, J Xiang - Sensors, 2018 - mdpi.com
Compressed sensing (CS) theory has attracted widespread attention in recent years and
has been widely used in signal and image processing, such as underdetermined blind …

Non-locally coded Fourier-transform ghost imaging

Z Tan, H Yu, R Lu, R Zhu, S Han - Optics Express, 2019 - opg.optica.org
A non-locally coded Fourier-transform ghost imaging (FGI) scheme and relevant coded
phase retrieval method have been proposed to improve the image quality in ghost imaging …

Sample-efficient sparse phase retrieval via stochastic alternating minimization

JF Cai, Y Jiao, X Lu, J You - IEEE Transactions on Signal …, 2022 - ieeexplore.ieee.org
In this work, we propose a nonconvex stochastic alternating minimizing (SAM) method for
sparse phase retrieval, where an-sparse vector of length is recovered from phaseless linear …

Fundamental limits of phasemax for phase retrieval: A replica analysis

O Dhifallah, YM Lu - 2017 IEEE 7th International Workshop on …, 2017 - ieeexplore.ieee.org
We consider a recently proposed convex formulation, known as the PhaseMax method, for
solving the phase retrieval problem. Using the replica method from statistical mechanics, we …

Learning without the phase: Regularized phasemax achieves optimal sample complexity

F Salehi, E Abbasi, B Hassibi - Advances in Neural …, 2018 - proceedings.neurips.cc
The problem of estimating an unknown signal, $\mathbf x_0\in\mathbb R^ n $, from a vector
$\mathbf y\in\mathbb R^ m $ consisting of $ m $ magnitude-only measurements of the form …

Signal reconstruction from modulo observations

V Shah, C Hegde - 2019 IEEE Global Conference on Signal …, 2019 - ieeexplore.ieee.org
We consider the problem of reconstructing a signal from under-determined modulo
observations (or measurements). This observation model is inspired by a (relatively) less …

Deep S3PR: Simultaneous Source Separation and Phase Retrieval Using Deep Generative Models

CA Metzler, G Wetzstein - ICASSP 2021-2021 IEEE …, 2021 - ieeexplore.ieee.org
This paper introduces and solves the simultaneous source separation and phase retrieval (S
3 PR) problem. S 3 PR is an important but largely unsolved problem in a number application …