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ICASSP
2009
IEEE
13 years 2 months ago
On the recovery of nonnegative sparse vectors from sparse measurements inspired by expanders
This paper studies compressed sensing for the recovery of non-negative sparse vectors from a smaller number of measurements than the ambient dimension of the unknown vector. We fo...
M. Amin Khajehnejad, Babak Hassibi
CORR
2011
Springer
194views Education» more  CORR 2011»
12 years 8 months ago
Sparse approximation property and stable recovery of sparse signals from noisy measurements
—In this paper, we introduce a sparse approximation property of order s for a measurement matrix A: xs 2 ≤ D Ax 2 + β σs(x) √ s for all x, where xs is the best s-sparse app...
Qiyu Sun
ICASSP
2011
IEEE
12 years 8 months ago
Bayesian framework and message passing for joint support and signal recovery of approximately sparse signals
In this paper, we develop a low-complexity message passing algorithm for joint support and signal recovery of approximately sparse signals. The problem of recovery of strictly spa...
Shubha Shedthikere, Ananthanarayanan Chockalingam
CORR
2010
Springer
93views Education» more  CORR 2010»
13 years 4 months ago
Rank Awareness in Joint Sparse Recovery
In this paper we revisit the sparse multiple measurement vector (MMV) problem, where the aim is to recover a set of jointly sparse multichannel vectors from incomplete measurement...
Mike E. Davies, Yonina C. Eldar
CISS
2010
IEEE
12 years 8 months ago
Average case analysis of sparse recovery from combined fusion frame measurements
—Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compr...
Petros Boufounos, Gitta Kutyniok, Holger Rauhut