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» Recovery of Sparsely Corrupted Signals
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CORR
2007
Springer
136views Education» more  CORR 2007»
13 years 7 months ago
Sparsity in time-frequency representations
We consider signals and operators in finite dimension which have sparse time-frequency representations. As main result we show that an S-sparse Gabor representation in Cn with re...
Götz E. Pfander, Holger Rauhut
TIT
2010
128views Education» more  TIT 2010»
13 years 2 months ago
Shannon-theoretic limits on noisy compressive sampling
In this paper, we study the number of measurements required to recover a sparse signal in M with L nonzero coefficients from compressed samples in the presence of noise. We conside...
Mehmet Akçakaya, Vahid Tarokh
TIT
2010
174views Education» more  TIT 2010»
13 years 2 months ago
Toeplitz Compressed Sensing Matrices With Applications to Sparse Channel Estimation
Compressed sensing (CS) has recently emerged as a powerful signal acquisition paradigm. In essence, CS enables the recovery of high-dimensional sparse signals from relatively few ...
Jarvis Haupt, Waheed Uz Zaman Bajwa, Gil M. Raz, R...
ICASSP
2011
IEEE
12 years 11 months ago
Weighted compressed sensing and rank minimization
—We present an alternative analysis of weighted 1 minimization for sparse signals with a nonuniform sparsity model, and extend our results to nuclear norm minimization for matric...
Samet Oymak, M. Amin Khajehnejad, Babak Hassibi
CORR
2010
Springer
225views Education» more  CORR 2010»
13 years 7 months ago
Sensing Matrix Optimization for Block-Sparse Decoding
Recent work has demonstrated that using a carefully designed sensing matrix rather than a random one, can improve the performance of compressed sensing. In particular, a welldesign...
Kevin Rosenblum, Lihi Zelnik-Manor, Yonina C. Elda...