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Quantization of compressed sensing measurements is typically justified by the robust recovery results of Cand\`es, Romberg and Tao, and of Donoho.
Distribution of the ratio of the mean square successive difference to the variance
J. von Neumann · 1941
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Matrix analysis
R.A. Horn and C.R. Johnson · 1985
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On the distribution of the singular values of Toeplitz matrices
S.V. Parter · 1986
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Constructive approximation
G.G. Lorentz, M. von Golitschek, and Y. Makovoz · 1996
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Delta-Sigma Data Converters
S.R. Norsworthy, R.Schreier, and G.C. Temes, editors · 1997
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Quantized overcomplete expansions in ℝ N \mathbb{R}^{N} : analysis, synthesis, and algorithms
V.K. Goyal, M. Vetterli, and N.T. Thao · 1998
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The discrete cosine transform
G. Strang · 1999
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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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Signal recovery from incomplete and inaccurate measurements
E.J. Candès, J. Romberg, and T. Tao · 2005
Cited alongside, same era.
Second order sigma–delta ( Σ Δ \Sigma\Delta ) quantization of finite frame expansions
J.J. Benedetto, A.M. Powell, and Ö. Yılmaz · 2006
Cited alongside, same era.
Sigma-delta ( Σ Δ \Sigma\Delta ) quantization and finite frames
J.J. Benedetto, A.M. Powell, and Ö. Yılmaz · 2006
Cited alongside, same era.
Compressive sampling
E.J. Candès · 2006
Cited alongside, same era.
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
E.J. Candès, J. Romberg, and T. Tao · 2006
Cited alongside, same era.
Compressed sensing
D.L. Donoho · 2006
Cited alongside, same era.
A simple proof of the restricted isometry property for random matrices
R. Baraniuk, M. Davenport, R. DeVore, and M. Wakin · 2008
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Compressive sampling and lossy compression
V.K. Goyal, A.K. Fletcher, and S. Rangan · 2008
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Compressed sensing and best k k -term approximation
A. Cohen, W. Dahmen, and R. DeVore · 2009
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W. Dai, H.V. Pham, and O. Milenkovic · 2009
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Dequantizing compressed sensing: When oversampling and non-gaussian constraints combine
L. Jacques, D.K. Hammond, and M.J. Fadili · 2009
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For most large underdetermined systems of equations, the minimal l1-norm near-solution approximates the sparsest near-solution
D.L. Donoho · 2006
Cited alongside, same era.
Smooth Frame-Path Termination for Higher Order Sigma-Delta Quantization
B.G. Bodmann, V.I. Paulsen, and S.A. Abdulbaki · 2007
Cited alongside, same era.
Sigma delta quantization for compressive sensing
P. Boufounos and R.G. Baraniuk · 2007
Cited alongside, same era.
Sobolev duals in frame theory and Sigma-Delta quantization
J. Blum, M. Lammers, A.M. Powell, and Ö. Yılmaz
Cited in the paper.
1-bit compressive sensing
P. Boufounos and R.G. Baraniuk
Cited in the paper.
J.N. Laska, P.T. Boufounos, M.A. Davenport, and R.G. Baraniuk · 2009
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Smallest singular value of a random rectangular matrix
M. Rudelson and R. Vershynin · 2009
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Compressed sensing with quantized measurements
A. Zymnis, S. Boyd, and E.J. Candès · 2009
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Alternative dual frames for digital-to-analog conversion in Sigma-Delta quantization
M. Lammers, A.M. Powell, and Ö. Yılmaz · 2010
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