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Quantization and Compressive Sensing (Q3460834)

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Language	Label	Description	Also known as
English	Quantization and Compressive Sensing	scientific article

Statements

scholarly article

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Quantization and Compressive Sensing (English)

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Laurent Jacques

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Petros T. Boufounos

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Compressed Sensing and its Applications

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publication date

8 January 2016

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full work available at URL

https://arxiv.org/abs/1405.1194

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http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.746.3216

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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One-bit compressed sensing with non-Gaussian measurements

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A simple proof of the restricted isometry property for random matrices

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One-bit compressive sensing of dictionary-sparse signals

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Second-order sigma-delta (\(\Sigma \Delta\)) quantization of finite frame expansions

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Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames

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Sobolev duals in frame theory and Sigma-Delta quantization

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Iterative hard thresholding for compressed sensing

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Frame paths and error bounds for sigma-delta quantization

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Smooth frame-path termination for higher order sigma-delta quantization

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Universal Rate-Efficient Scalar Quantization

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Quantization noise shaping on arbitrary frame expansions

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Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-Rank Matrices

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The pros and cons of democracy

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Stable signal recovery from incomplete and inaccurate measurements

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The restricted isometry property and its implications for compressed sensing

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Restricted isometry properties and nonconvex compressive sensing

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Atomic Decomposition by Basis Pursuit

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Proximal Splitting Methods in Signal Processing

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Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order

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The Pros and Cons of Compressive Sensing for Wideband Signal Acquisition: Noise Folding versus Dynamic Range

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An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes

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Quantized overcomplete expansions in IR/sup N/: analysis, synthesis, and algorithms

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Oversampled Sigma-Delta Modulation

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One-bit sigma-delta quantization with exponential accuracy

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Sobolev duals for random frames and \(\varSigma \varDelta \) quantization of compressed sensing measurements

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A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables

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Probability Inequalities for Sums of Bounded Random Variables

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Near-optimal encoding for sigma-delta quantization of finite frame expansions

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A Quantized Johnson–Lindenstrauss Lemma: The Finding of Buffon’s Needle

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Dequantizing Compressed Sensing: When Oversampling and Non-Gaussian Constraints Combine

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Stabilizing Nonuniformly Quantized Compressed Sensing With Scalar Companders

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Robust 1-Bit Compressive Sensing via Binary Stable Embeddings of Sparse Vectors

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Extensions of Lipschitz mappings into a Hilbert space

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Message-Passing De-Quantization With Applications to Compressed Sensing

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Suprema of Chaos Processes and the Restricted Isometry Property

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Root-Exponential Accuracy for Coarse Quantization of Finite Frame Expansions

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Sigma-Delta quantization of sub-Gaussian frame expansions and its application to compressed sensing

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New and Improved Johnson–Lindenstrauss Embeddings via the Restricted Isometry Property

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Lower bounds for the error decay incurred by coarse quantization schemes

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A lower estimate for entropy numbers

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Alternative dual frames for digital-to-analog conversion in sigma-delta quantization

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Democracy in action: quantization, saturation, and compressive sensing

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Trust, But Verify: Fast and Accurate Signal Recovery From 1-Bit Compressive Measurements

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Regime Change: Bit-Depth Versus Measurement-Rate in Compressive Sensing

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Least squares quantization in PCM

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One-Bit Compressed Sensing by Linear Programming

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Robust 1-bit Compressed Sensing and Sparse Logistic Regression: A Convex Programming Approach

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Dimension reduction by random hyperplane tessellations

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Quantization and Finite Frames

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Error bounds for consistent reconstruction: random polytopes and coverage processes

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On sparse reconstruction from Fourier and Gaussian measurements

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Hanson-Wright inequality and sub-Gaussian concentration

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Entropy numbers of diagonal operators between symmetric Banach spaces

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Lower bound on the mean-squared error in oversampled quantization of periodic signals using vector quantization analysis

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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-16042-9_7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3460834

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