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We provide the first analysis of a non-trivial quantization scheme for compressed sensing measurements arising from structured measurements.
A unity bit coding method by negative feedback
H. Inose and Y. Yasuda · 1963
Earlier work this paper cites.
The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
R. Dudley · 1967
Earlier work this paper cites.
Delta-Sigma-Converters: Theory, Design and Simulation
S. R. Norsworthy, R. Schreier, and G. C. Temes, editors · 1996
Earlier work this paper cites.
Quantized overcomplete expansions in ℝ N \mathbb{R}^{N} : analysis, synthesis, and algorithms
V. Goyal, M. Vetterli, and N. Thao · 1998
Earlier work this paper cites.
Concentration
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
Smooth frame-path termination for higher order sigma-delta quantization
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Earlier work this paper cites.
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P. Boufounos and R. Baraniuk · 2007
Earlier work this paper cites.
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Introduction to the non-asymptotic analysis of random matrices
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S. Foucart and H. Rauhut · 2013
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Sobolev duals for random frames and Σ Δ \Sigma\Delta quantization of compressed sensing measurements
S. Güntürk, M. Lammers, A. Powell, R. Saab, and Ö Yılmaz · 2013
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One-bit compressed sensing by linear programming
Y. Plan and R. Vershynin · 2013
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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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J. Blum, M. Lammers, A.M. Powell, and Ö. Yılmaz · 2010
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P. Deift, S. Güntürk, and F. Krahmer · 2011
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Dequantizing compressed sensing: When oversampling and non-gaussian constraints combine
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Democracy in action: Quantization, saturation, and compressive sensing
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Suprema of chaos processes and the restricted isometry property
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Sigma-delta quantization of sub-Gaussian frame expansions and its application to compressed sensing
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A deterministic analysis of decimation for sigma-delta quantization of bandlimited functions
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Sigma delta quantization with harmonic frames and partial fourier ensembles
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Improved bounds for sparse recovery from subsampled random convolutions
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From compressed sensing to compressed bit-streams: practical encoders, tractable decoders
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Quantization of compressive samples with stable and robust recovery
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