Structured compressed sensing: From theory to applications

MF Duarte, YC Eldar - IEEE Transactions on signal processing, 2011 - ieeexplore.ieee.org
Compressed sensing (CS) is an emerging field that has attracted considerable research
interest over the past few years. Previous review articles in CS limit their scope to standard …

Analysis K-SVD: A dictionary-learning algorithm for the analysis sparse model

R Rubinstein, T Peleg, M Elad - IEEE Transactions on Signal …, 2012 - ieeexplore.ieee.org
The synthesis-based sparse representation model for signals has drawn considerable
interest in the past decade. Such a model assumes that the signal of interest can be …

Robust recovery of signals from a structured union of subspaces

YC Eldar, M Mishali - IEEE Transactions on Information Theory, 2009 - ieeexplore.ieee.org
Traditional sampling theories consider the problem of reconstructing an unknown signal x
from a series of samples. A prevalent assumption which often guarantees recovery from the …

Blind multiband signal reconstruction: Compressed sensing for analog signals

M Mishali, YC Eldar - IEEE Transactions on signal processing, 2009 - ieeexplore.ieee.org
We address the problem of reconstructing a multiband signal from its sub-Nyquist pointwise
samples, when the band locations are unknown. Our approach assumes an existing multi …

The cosparse analysis model and algorithms

S Nam, ME Davies, M Elad, R Gribonval - Applied and Computational …, 2013 - Elsevier
After a decade of extensive study of the sparse representation synthesis model, we can
safely say that this is a mature and stable field, with clear theoretical foundations, and …

Nonparametric Bayesian dictionary learning for analysis of noisy and incomplete images

M Zhou, H Chen, J Paisley, L Ren, L Li… - … on Image Processing, 2011 - ieeexplore.ieee.org
Nonparametric Bayesian methods are considered for recovery of imagery based upon
compressive, incomplete, and/or noisy measurements. A truncated beta-Bernoulli process is …

Learning with structured sparsity

J Huang, T Zhang, D Metaxas - Proceedings of the 26th Annual …, 2009 - dl.acm.org
This paper investigates a new learning formulation called structured sparsity, which is a
natural extension of the standard sparsity concept in statistical learning and compressive …

[PDF][PDF] 结构化压缩感知研究进展

刘芳, 武娇, 杨淑媛, 焦李成 - 自动化学报, 2013 - aas.net.cn
摘要压缩感知(Compressive sensing, CS) 是一种全新的信息采集与处理的理论框架.
借助信号内在的稀疏性或可压缩性, 可从小规模的线性, 非自适应的测量中通过非线性优化的 …

Innovation rate sampling of pulse streams with application to ultrasound imaging

R Tur, YC Eldar, Z Friedman - IEEE Transactions on Signal …, 2011 - ieeexplore.ieee.org
Signals comprised of a stream of short pulses appear in many applications including
bioimaging and radar. The recent finite rate of innovation framework, has paved the way to …

Rank awareness in joint sparse recovery

ME Davies, YC Eldar - IEEE Transactions on Information …, 2012 - ieeexplore.ieee.org
This paper revisits the sparse multiple measurement vector (MMV) problem, where the aim
is to recover a set of jointly sparse multichannel vectors from incomplete measurements …