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» Support Recovery of Sparse Signals
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JMLR
2012
11 years 8 months ago
Universal Measurement Bounds for Structured Sparse Signal Recovery
Standard compressive sensing results state that to exactly recover an s sparse signal in Rp , one requires O(s · log p) measurements. While this bound is extremely useful in prac...
Nikhil S. Rao, Ben Recht, Robert D. Nowak
ICA
2010
Springer
13 years 7 months ago
Recovering Spikes from Noisy Neuronal Calcium Signals via Structured Sparse Approximation
Two-photon calcium imaging is an emerging experimental technique that enables the study of information processing within neural circuits in vivo. While the spatial resolution of th...
Eva L. Dyer, Marco F. Duarte, Don H. Johnson, Rich...
TIT
2010
137views Education» more  TIT 2010»
13 years 21 days ago
Stable recovery of sparse signals and an oracle inequality
This article considers sparse signal recovery in the presence of noise. A mutual incoherence condition which was previously used for exact recovery in the noiseless case is shown t...
T. Tony Cai, Lie Wang, Guangwu Xu
ICASSP
2011
IEEE
12 years 9 months ago
Estimating Sparse MIMO channels having Common Support
We propose an algorithm (SCS-FRI) to estimate multipath channels with Sparse Common Support (SCS) based on Finite Rate of Innovation (FRI) sampling. In this setup, theoretical low...
Yann Barbotin, Ali Hormati, Sundeep Rangan, Martin...
CORR
2011
Springer
194views Education» more  CORR 2011»
12 years 9 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