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A restricted isometry property for structurally-subsampled unitary matrices
2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton), 2009Subsampled (or partial) Fourier matrices were originally introduced in the compressive sensing literature by Candes et al. Later, in papers by Candes and Tao and Rudelson and Vershynin, it was shown that (random) subsampling of the rows of many other classes of unitary matrices also yield effective sensing matrices. The key requirement is that the rows
Waheed U. Bajwa +2 more
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The Restricted Isometry Property of the Radon-like CS matrix
2013 IEEE 15th International Workshop on Multimedia Signal Processing (MMSP), 2013In compressive sensing, the Restricted Isometry Property is an analytical condition on the measurement matrix that assures reconstruction of a signal which is sparse either in the spatial or in a transformed domain given an undersampled measurements' set. In this paper, we demonstrate the RIP for a sparse, structured measurements matrix, referred to as
COLONNESE, Stefania +3 more
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On the Gap Between Restricted Isometry Properties and Sparse Recovery Conditions
IEEE Transactions on Information Theory, 2018We consider the problem of recovering sparse vectors from underdetermined linear measurements via $\ell _{p}$ -constrained basis pursuit. Previous analyses of this problem based on generalized restricted isometry properties have suggested that two phenomena occur if $p\neq 2$ . First, one may need substantially more than $s \log (en/s)$
Sjoerd Dirksen +2 more
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The Restricted Isometry Property for Measurements from Group Orbits
2025 International Conference on Sampling Theory and Applications (SampTA)2025 International Conference on Sampling Theory and Applications (SampTA) : [Proceedings] 15. International Conference on Sampling Theory and Applications, SampTA 2025, Vienna, Austria, 28 Jul 2025 - 1 Aug 2025; IEEE 5 Seiten (2025).
Führ, Hartmut, Gilles, Timm
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The Restricted Isometry Property for Banded Random Matrices
IEEE Transactions on Signal Processing, 2014Juan Castorena, Charles D. Creusere
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New and Improved Johnson–Lindenstrauss Embeddings via the Restricted Isometry Property
SIAM Journal on Mathematical Analysis, 2011Felix Krähmer, Rachel Ward
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On the Restricted Isometry Property of Kronecker-structured Matrices
ICASSP 2025 - 2025 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)Yanbin He, Geethu Joseph
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The restricted isometry property for time–frequency structured random matrices
Probability Theory and Related Fields, 2012Gotz E Pfander +2 more
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The restricted isometry property for random matrices with ϕ-subgaussian entries
Random Operators and Stochastic Equations, 2015Yu V Kozachenko, Viktor B Troshki
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