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CORR
2012
Springer
225views Education» more  CORR 2012»
13 years 5 months ago
Compressive Principal Component Pursuit
We consider the problem of recovering a target matrix that is a superposition of low-rank and sparse components, from a small set of linear measurements. This problem arises in co...
John Wright, Arvind Ganesh, Kerui Min, Yi Ma
CORR
2007
Springer
183views Education» more  CORR 2007»
14 years 9 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
CORR
2007
Springer
136views Education» more  CORR 2007»
14 years 9 months ago
Sparsity in time-frequency representations
We consider signals and operators in finite dimension which have sparse time-frequency representations. As main result we show that an S-sparse Gabor representation in Cn with re...
Götz E. Pfander, Holger Rauhut
TIT
2010
174views Education» more  TIT 2010»
14 years 4 months ago
Toeplitz Compressed Sensing Matrices With Applications to Sparse Channel Estimation
Compressed sensing (CS) has recently emerged as a powerful signal acquisition paradigm. In essence, CS enables the recovery of high-dimensional sparse signals from relatively few ...
Jarvis Haupt, Waheed Uz Zaman Bajwa, Gil M. Raz, R...
ICASSP
2011
IEEE
14 years 1 months ago
Weighted compressed sensing and rank minimization
—We present an alternative analysis of weighted 1 minimization for sparse signals with a nonuniform sparsity model, and extend our results to nuclear norm minimization for matric...
Samet Oymak, M. Amin Khajehnejad, Babak Hassibi