Robust sparse phase retrieval made easy

M Iwen, A Viswanathan, Y Wang - Applied and Computational Harmonic …, 2017 - Elsevier
In this short note we propose a simple two-stage sparse phase retrieval strategy that uses a
near-optimal number of measurements, and is both computationally efficient and robust to …

Sparse phase retrieval: Uniqueness guarantees and recovery algorithms

K Jaganathan, S Oymak… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
The problem of signal recovery from its Fourier transform magnitude is of paramount
importance in various fields of engineering and has been around for more than 100 years …

A flexible convex relaxation for phase retrieval

S Bahmani, J Romberg - 2017 - projecteuclid.org
We propose a flexible convex relaxation for the phase retrieval problem that operates in the
natural domain of the signal. Therefore, we avoid the prohibitive computational cost …

Near-optimal estimation of simultaneously sparse and low-rank matrices from nested linear measurements

S Bahmani, J Romberg - Information and Inference: A Journal of …, 2016 - academic.oup.com
In this paper, we consider the problem of estimating simultaneously low-rank and row-wise
sparse matrices from nested linear measurements, where the linear operator consists of the …

Sparse phase retrieval using partial nested Fourier samplers

H Qiao, P Pal - 2015 IEEE Global Conference on Signal and …, 2015 - ieeexplore.ieee.org
The problem of sparse phase retrieval is considered where the measurement vectors are
deterministic and Fourier-like. Under some mild assumptions, O (slog N) measurements are …

Sparse phase retrieval with near minimal measurements: A structured sampling based approach

H Qiao, P Pal - … Conference on Acoustics, Speech and Signal …, 2016 - ieeexplore.ieee.org
The problem of sparse phase retrieval is considered where the goal is to recover a sparse
complex valued vector (with s non zero elements) from the magnitudes of its linear …

Modulated wideband converter for compressive phase retrieval of bandlimited signals

V Pohl, H Boche, C Yapar - SCC 2017; 11th International ITG …, 2017 - ieeexplore.ieee.org
Modulated wideband converters are now a well established sampling schemes to acquire
samples of sparse multiband signals with a sub-Nyquist sampling rate such that the signal …

Capacity-approaching phasecode for low-complexity compressive phase retrieval

R Pedarsani, K Lee… - 2015 IEEE International …, 2015 - ieeexplore.ieee.org
In this paper, we tackle the general compressive phase retrieval problem. The problem is to
recover (to within a global phase uncertainty) a K-sparse complex vector of length n, x∈ ℂ n …

[图书][B] Structured Sub-Nyquist Sampling with Applications in Compressive Toeplitz Covariance Estimation, Super-Resolution and Phase Retrieval

H Qiao - 2019 - search.proquest.com
Sub-Nyquist sampling has received a huge amount of interest in the past decade. In
classical compressed sensing theory, if the measurement procedure satisfies a particular …

Nested Sampling and its Applications in Stable Compressive Covariance Estimation and Phase Retrieval with Near-Minimal Measurements

H Qiao - 2016 - search.proquest.com
Compressed covariance sensing using quadratic samplers is gaining increasing interest in
recent literature. Covariance matrix often plays the role of a sufficient statistic in many signal …