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TIT
2010
96views Education» more  TIT 2010»
12 years 11 months ago
New bounds for restricted isometry constants
Abstract--This paper discusses new bounds for restricted isometry constants in compressed sensing. Let 8be an n2p real matrix and k be a positive integer with k n. One of the main...
T. Tony Cai, Lie Wang, Guangwu Xu
CORR
2010
Springer
76views Education» more  CORR 2010»
13 years 4 months ago
Improved Bounds on Restricted Isometry Constants for Gaussian Matrices
The Restricted Isometry Constants (RIC) of a matrix A measures how close to an isometry is the action of A on vectors with few nonzero entries, measured in the 2 norm. Specifically...
Bubacarr Bah, Jared Tanner
CORR
2011
Springer
179views Education» more  CORR 2011»
12 years 8 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
CORR
2010
Springer
116views Education» more  CORR 2010»
13 years 4 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
TIT
2010
171views Education» more  TIT 2010»
12 years 11 months ago
Analysis of orthogonal matching pursuit using the restricted isometry property
Orthogonal matching pursuit (OMP) is the canonical greedy algorithm for sparse approximation. In this paper we demonstrate that the restricted isometry property (RIP) can be used f...
Mark A. Davenport, Michael B. Wakin