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» Recovery of Sparsely Corrupted Signals
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CORR
2007
Springer
136views Education» more  CORR 2007»
14 years 9 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
92
Voted
TIT
2010
128views Education» more  TIT 2010»
14 years 4 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»
14 years 4 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...
99
Voted
ICASSP
2011
IEEE
14 years 1 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»
14 years 9 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...