From denoising to compressed sensing

CA Metzler, A Maleki… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
A denoising algorithm seeks to remove noise, errors, or perturbations from a signal.
Extensive research has been devoted to this arena over the last several decades, and as a …

[PDF][PDF] Measurements vs. bits: Compressed sensing meets information theory

S Sarvotham, D Baron, RG Baraniuk - Proceedings of 44th Allerton …, 2006 - barondror.com
Compressed sensing is a new framework for acquiring sparse signals based on the
revelation that a small number of linear projections (measurements) of the signal contain …

Approximate message passing algorithms for compressed sensing

A Maleki - 2010 - search.proquest.com
Compressed sensing refers to a growing body of techniques that'undersample'high-
dimensional signals and yet recover them accurately. Such techniques make fewer …

Compressive sampling [from the guest editors]

RG Baraniuk, E Candes, R Nowak… - IEEE Signal Processing …, 2008 - ieeexplore.ieee.org
Compressive Sampling Page 1 Compressive Sampling [from the GUEST EDITORS] Richard G.
Baraniuk, Emmanuel Candès, Robert Nowak, and Martin Vetterli IEEE SIGNAL PROCESSING …

[PDF][PDF] Introduction to compressed sensing.

In recent years, compressed sensing (CS) has attracted considerable attention in areas of
applied mathematics, computer science, and electrical engineering by suggesting that it may …

Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising

DL Donoho, I Johnstone… - IEEE transactions on …, 2013 - ieeexplore.ieee.org
Compressed sensing posits that, within limits, one can undersample a sparse signal and yet
reconstruct it accurately. Knowing the precise limits to such undersampling is important both …

Sequential compressed sensing

DM Malioutov, SR Sanghavi… - IEEE Journal of Selected …, 2010 - ieeexplore.ieee.org
Compressed sensing allows perfect recovery of sparse signals (or signals sparse in some
basis) using only a small number of random measurements. Existing results in compressed …

An introduction to compressive sampling

EJ Candès, MB Wakin - IEEE signal processing magazine, 2008 - ieeexplore.ieee.org
Conventional approaches to sampling signals or images follow Shannon's theorem: the
sampling rate must be at least twice the maximum frequency present in the signal (Nyquist …

Compressed sensing with prior information: Strategies, geometry, and bounds

JFC Mota, N Deligiannis… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
We address the problem of compressed sensing (CS) with prior information: reconstruct a
target CS signal with the aid of a similar signal that is known beforehand, our prior …

Compressed sensing performance bounds under Poisson noise

M Raginsky, RM Willett, ZT Harmany… - IEEE Transactions on …, 2010 - ieeexplore.ieee.org
This paper describes performance bounds for compressed sensing (CS) where the
underlying sparse or compressible (sparsely approximable) signal is a vector of …