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CORR
2010
Springer
108views Education» more  CORR 2010»
13 years 11 months ago
Compressed Sensing: How sharp is the Restricted Isometry Property
Compressed sensing is a recent technique by which signals can be measured at a rate proportional to their information content, combining the important task of compression directly ...
Jeffrey D. Blanchard, Coralia Cartis, Jared Tanner
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
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
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
2010
Springer
145views Education» more  CORR 2010»
13 years 8 months ago
Orthogonal symmetric Toeplitz matrices for compressed sensing: Statistical isometry property
Recently, the statistical restricted isometry property (RIP) has been formulated to analyze the performance of deterministic sampling matrices for compressed sensing. In this paper...
Kezhi Li, Lu Gan, Cong Ling