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CORR
2007
Springer
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14 years 13 days 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
ICASSP
2008
IEEE
14 years 7 months ago
Stable sparse approximations via nonconvex optimization
We present theoretical results pertaining to the ability of ℓp minimization to recover sparse and compressible signals from incomplete and noisy measurements. In particular, we ...
Rayan Saab, Rick Chartrand, Özgür Yilmaz