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cs.IT2009★ 2 cited
New Bounds for Restricted Isometry Constants
T. Tony Cai, Lie Wang, Guangwu Xu
In this paper we show that if the restricted isometry constant of the compressed sensing matrix satisfies \[ δ_k < 0.307, \] then -sparse signals are guaranteed to be reco…
cs.IT2009★ 1 cited
Linear Transformations and Restricted Isometry Property
Leslie Ying, Yi Ming Zou
The Restricted Isometry Property (RIP) introduced by Candés and Tao is a fundamental property in compressed sensing theory. It says that if a sampling matrix satisfies the RIP of c…
cs.IT2008★ 8 cited
Toeplitz Block Matrices in Compressed Sensing
Florian Sebert, Leslie Ying, Yi Ming Zou
Recent work in compressed sensing theory shows that independent and identically distributed (IID) sensing matrices whose entries are drawn independently from certain pr…