Uniform Uncertainty Principle and Signal Recovery via Regularized Orthogonal Matching Pursuit
Foundations of Computational Mathematics
On the reconstruction of block-sparse signals with an optimal number of measurements
IEEE Transactions on Signal Processing
Further results on stable recovery of sparse overcomplete representations in the presence of noise
IEEE Transactions on Information Theory
Sampling theorems for signals from the union of finite-dimensional linear subspaces
IEEE Transactions on Information Theory
Robust recovery of signals from a structured union of subspaces
IEEE Transactions on Information Theory
Block-sparse signals: uncertainty relations and efficient recovery
IEEE Transactions on Signal Processing
Matching pursuits with time-frequency dictionaries
IEEE Transactions on Signal Processing
The Group Lasso for Stable Recovery of Block-Sparse Signal Representations
IEEE Transactions on Signal Processing
Uncertainty principles and ideal atomic decomposition
IEEE Transactions on Information Theory
A generalized uncertainty principle and sparse representation in pairs of bases
IEEE Transactions on Information Theory
Sparse representations in unions of bases
IEEE Transactions on Information Theory
Recovery of exact sparse representations in the presence of bounded noise
IEEE Transactions on Information Theory
Stable recovery of sparse overcomplete representations in the presence of noise
IEEE Transactions on Information Theory
Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit
IEEE Transactions on Information Theory
Block-sparse recovery via redundant block OMP
Signal Processing
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The block orthogonal greedy algorithm (BOGA) has been proven to successfully recover block-sparse signals in noiseless environments and the associated stability problem dealing with noisy signals has also been studied in the literature. This paper demonstrates that the recovery conditions of the BOGA previously reported can be relaxed by using a different definition of the block-coherence. The presented results in this paper provide a generalization of those reported by Tseng for block-sparse signal and serve as a complement of the BOGA reported by Eldar for noisy signals.