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CORR
2010
Springer
172views Education» more  CORR 2010»
13 years 8 months ago
The MUSIC Algorithm for Sparse Objects: A Compressed Sensing Analysis
The MUSIC algorithm, and its extension for imaging sparse extended objects, with noisy data is analyzed by compressed sensing (CS) techniques. A thresholding rule is developed to a...
Albert Fannjiang
CORR
2010
Springer
114views Education» more  CORR 2010»
13 years 8 months ago
Sequential Compressed Sensing
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 sens...
Dmitry M. Malioutov, Sujay Sanghavi, Alan S. Wills...
SIAMSC
2010
120views more  SIAMSC 2010»
13 years 6 months ago
Simultaneously Sparse Solutions to Linear Inverse Problems with Multiple System Matrices and a Single Observation Vector
Abstract. A problem that arises in slice-selective magnetic resonance imaging (MRI) radiofrequency (RF) excitation pulse design is abstracted as a novel linear inverse problem with...
Adam C. Zelinski, Vivek K. Goyal, Elfar Adalsteins...
CORR
2007
Springer
183views Education» more  CORR 2007»
13 years 7 months ago
Compressed Sensing and Redundant Dictionaries
This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, whic...
Holger Rauhut, Karin Schnass, Pierre Vandergheynst
CDC
2010
IEEE
140views Control Systems» more  CDC 2010»
13 years 2 months ago
On the observability of linear systems from random, compressive measurements
Abstract-- Recovering or estimating the initial state of a highdimensional system can require a potentially large number of measurements. In this paper, we explain how this burden ...
Michael B. Wakin, Borhan Molazem Sanandaji, Tyrone...