Compressive covariance sensing: Structure-based compressive sensing beyond sparsity

D Romero, DD Ariananda, Z Tian… - IEEE signal processing …, 2015 - ieeexplore.ieee.org
… observation of the compressed samples y x, U = r whose covariance matrix y R is given by
… Most of the methods described in this article make use of the sample covariance matrix of ,y …

Sparsity-cognizant total least-squares for perturbed compressive sampling

H Zhu, G Leus, GB Giannakis - IEEE Transactions on Signal …, 2011 - ieeexplore.ieee.org
… On the other hand, sparsity is the key attribute exploited by modern compressive sampling
… are developed to address the perturbed compressive sampling (and the related dictionary …

Bayesian compressive sensing

S Ji, Y Xue, L Carin - IEEE Transactions on signal processing, 2008 - ieeexplore.ieee.org
… To mitigate this problem, we impute the empty entries with random samples drawn iid
from a … an approximate covariance matrix ^66(19), from which we then compute the eigenvector. …

Shannon-theoretic limits on noisy compressive sampling

M Akçakaya, V Tarokh - IEEE Transactions on Information …, 2009 - ieeexplore.ieee.org
In this paper, we study the number of measurements required to recover a sparse signal in
C M with L nonzero coefficients from compressed samples in the presence of noise. We …

Sparse representations and compressive sampling approaches in engineering mechanics: A review of theoretical concepts and diverse applications

IA Kougioumtzoglou, I Petromichelakis… - Probabilistic Engineering …, 2020 - Elsevier
… applications of sparse representations and compressive sampling (CS) approaches in …
different forms and can correspond to missing or compressed data, or even refer generally to …

Exact and stable covariance estimation from quadratic sampling via convex programming

Y Chen, Y Chi, AJ Goldsmith - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
samples are sufficient to approximate the ground truth [4], [30]. In contrast, this paper is
motivated by the success of Compressed … in this paper, covariance estimation from compressive

Coil compression for accelerated imaging with Cartesian sampling

T Zhang, JM Pauly, SS Vasanawala… - Magnetic resonance in …, 2013 - Wiley Online Library
sampling there often are fully sampled k‐space dimensions. In this work, a new coil compression
technique for Cartesian sampling … dimensions for better compression and computation …

Robust adaptive beamforming based on interference covariance matrix sparse reconstruction

Y Gu, NA Goodman, S Hong, Y Li - Signal Processing, 2014 - Elsevier
covariance matrix in a sparse way, instead of searching for an optimal diagonal loading factor
for the sample covariance … can be estimated from a compressive sensing (CS) problem. In …

Two-sample covariance matrix testing and support recovery in high-dimensional and sparse settings

T Cai, W Liu, Y Xia - Journal of the American Statistical Association, 2013 - Taylor & Francis
covariance matrix , define the sample covariance matrices … sample covariances and and
to base the test on the maximum differences. It is important to note that the sample covariances ’…

Multitask compressive sensing

S Ji, D Dunson, L Carin - IEEE Transactions on Signal …, 2008 - ieeexplore.ieee.org
compressive properties of wavelets assure that is typically small for , thereby motivating the
use of wavelets in a new generation of compression … with compressed samples for each task, …