526 citations
- University of BonnDE131 papers
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6 papers · 1 filter
Gelfand numbers related to structured sparsity and Besov space embeddings with small mixed smoothness
Sjoerd Dirksen, Tino Ullrich
We consider the problem of determining the asymptotic order of the Gelfand numbers of mixed-(quasi-)norm embeddings given th…
Dimensionality reduction with subgaussian matrices: a unified theory
Sjoerd Dirksen
We present a theory for Euclidean dimensionality reduction with subgaussian matrices which unifies several restricted isometry property and Johnson-Lindenstrauss type results obtai…
The restricted isometry property for time-frequency structured random matrices
Götz E. Pfander, Holger Rauhut, Joel A. Tropp
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 th…
Restricted Isometries for Partial Random Circulant Matrices
Holger Rauhut, Justin Romberg, Joel A. Tropp
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 and…
Sparse Recovery from Combined Fusion Frame Measurements
Petros T. Boufounos, Gitta Kutyniok, Holger Rauhut
Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compress…
Compressive estimation of doubly selective channels in multicarrier systems: Leakage effects and sparsity-enhancing processing
Georg Tauboeck, Franz Hlawatsch, Daniel Eiwen +1
We consider the application of compressed sensing (CS) to the estimation of doubly selective channels within pulse-shaping multicarrier systems (which include OFDM systems as a spe…