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CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 11 months ago
Restricted Isometries for Partial Random Circulant Matrices
In the theory of compressed sensing, restricted isometry analysis has become a standard tool for studying how efficiently a measurement matrix acquires information about sparse an...
Holger Rauhut, Justin K. Romberg, Joel A. Tropp
CORR
2011
Springer
179views Education» more  CORR 2011»
13 years 2 months ago
The restricted isometry property for time-frequency structured random matrices
We establish the restricted isometry property for finite dimensional Gabor systems, that is, for families of time–frequency shifts of a randomly chosen window function. We show...
Götz E. Pfander, Holger Rauhut, Joel A. Tropp
CISS
2011
IEEE
13 years 2 months ago
The Restricted Isometry Property for block diagonal matrices
—In compressive sensing (CS), the Restricted Isometry Property (RIP) is a powerful condition on measurement operators which ensures robust recovery of sparse vectors is possible ...
Han Lun Yap, Armin Eftekhari, Michael B. Wakin, Ch...
ICASSP
2011
IEEE
13 years 2 months ago
Generalized Restricted Isometry Property for alpha-stable random projections
The Restricted Isometry Property (RIP) is an important concept in compressed sensing. It is well known that many random matrices satisfy the RIP with high probability, whenever th...
Daniel Otero, Gonzalo R. Arce
CISS
2011
IEEE
13 years 2 months ago
Stable manifold embeddings with operators satisfying the Restricted Isometry Property
—Signals of interests can often be thought to come from a low dimensional signal model. The exploitation of this fact has led to many recent interesting advances in signal proces...
Han Lun Yap, Michael B. Wakin, Christopher J. Roze...