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Sigma Delta quantization, a quantization method which first surfaced in the 1960s, has now been used widely in various digital products such as cameras, cell phones, radars, etc.
A unity bit coding method by negative feedback
H. Inose and Y. Yasuda · 1963
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Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
I. Daubechies and R. DeVore · 2003
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One-bit sigma-delta quantization with exponential accuracy
C.S. Güntürk · 2003
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Sigma-delta ( Σ Δ \Sigma\Delta ) quantization and finite frames
J.J. Benedetto, A.M. Powell, and Ö. Yılmaz · 2006
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Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
E. J. Candès, J. Romberg, and T. Tao · 2006
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Smooth frame-path termination for higher order sigma-delta quantization
B.G. Bodmann, V.I. Paulsen, and S.A. Abdulbaki · 2007
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The restricted isometry property and its implications for compressed sensing
J. E. Candes · 2008
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Alternative dual frames for digital-to-analog conversion in sigma–delta quantization
M. Lammers, A.M. Powell, and Ö. Yılmaz · 2008
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On sparse reconstruction from fourier and gaussian measurements
M. Rudelson and R Vershynin · 2008
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On the conditioning of random subdictionaries
J. Tropp · 2008
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Sobolev duals in frame theory and sigma-delta quantization
J. Blum, M. Lammers, A.M. Powell, and Ö. Yılmaz · 2010
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An optimal family of exponentially accurate one-bit sigma-delta quantization schemes
P. Deift, C. S. Güntürk, and F. Krahmer · 2011
Cited alongside, same era.
Image sensors employing oversampling sigma-delta analog-to-digital conversion with high dynamic range and low power
D. Maricic · 2011
Cited alongside, same era.
A simple decoupling inequality in probability theory
R. Vershynin · 2011
Cited alongside, same era.
Root-exponential accuracy for coarse quantization of finite frame expansions
F. Krahmer, R. Saab, and R. Ward · 2012
Cited alongside, same era.
Sobolev duals for random frames and sigma-delta quantization of compressed sensing measurements
C.S. Güntürk, M. Lammers, A.M. Powell, R. Saab, and Ö. Yılmaz · 2013
Cited alongside, same era.
Near-optimal encoding for sigma-delta quantization of finite frame expansions
Quantization and finite frames
A. M. Powell, R. Saab, and Ö. Yılmaz · 2013
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One-bit compressed sensing with non-gaussian measurements
A. Ai, A. Lapanowski, Y. Plan, and R. Vershynin · 2014
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Exponential decay of reconstruction error from binary measurements of sparse signals
R. Baraniuk, S. Foucart, D. Needell, Y. Plan, and M. Wootters · 2014
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Sparse representation of a polytope and recovery of sparse signals and low-rank matrices
T. Cai and A. Zhang · 2014
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An RIP-based approach to Σ Δ \Sigma\Delta quantization for compressed sensing
J. Feng and F. Krahmer · 2014
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Stability and robustness of ℓ 1 \ell_{1} -minimizations with Weibull matrices and redundant dictionaries
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M. Iwen and R. Saab · 2013
Cited alongside, same era.
Robust 1-bit compressive sensing via binary stable embeddings of sparse vectors
L. Jacques, J. N. Laska, P. T. Boufounos, and R. G. Baraniuk · 2013
Cited alongside, same era.
Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing
F. Krahmer, R. Saab, and Ö Yılmaz · 2013
Cited alongside, same era.
One-bit compressed sensing by linear programming
Y. Plan and R. Vershynin · 2013
Cited alongside, same era.
Robust 1-bit compressed sensing and sparse logistic regression: A convex programming approach
Y. Plan and R. Vershynin · 2013
Cited alongside, same era.
S. Foucart · 2014
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One-bit compressive sensing with norm estimation
K. Knudson, R. Saab, and R. Ward · 2014
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Matrix concentration inequalities via the method of exchangeable pairs
L. Mackey, M. Jordan, R. Chen, B. Farrell, and J. Tropp · 2014
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E. Chou and Güntürk · 2015
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Quantization of compressive samples with stable and robust recovery
R. Saab, R. Wang, and Ö. Yılmaz · 2015
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